Digest of the Non Linear Science Network, Volume 10, Number 08 May 1, 2010 Editor: Angel Jorba Topics: BIOMAT 2010 Jairo Charris Seminar 2010 Research Associate in Multiscale Analysis of Spatially Extended Media PhD studentship in Multiscale Analysis of Spatially Extended Media Contents, Discrete and Continuous Dynamical Systems - Series A 28:2 Contents, Discrete and Continuous Dynamical Systems - Series A 28:3 Contents, Physica D: Nonlinear Phenomena 239:12 Contents, Nonlinearity 23:5 Contents, Inverse Problems 26:5 Submissions to nls-net must be addressed to: Comments and suggestions are also welcome. General information about nls-net can be found at: http://www.maia.ub.es/cgi-bin/mailman/listinfo/nls-net/ This is a service created and maintained in collaboration with the American Institute of Mathematical Sciences (AIMS) http://www.aimsciences.org/ ------ Subject: BIOMAT 2010 From: PDE's group Date: Tue, 20 Apr 2010 11:03:36 +0200 Dear Colleague, We would like to bring to your attention the upcoming edition of BIOMAT 2010 Mathematics and Life Sciences: Mathematical models in Biology For more info: http://www.ugr.es/local/kinetic/biomat/ The conference will take place in the Faculty of Sciences of the University of Granada, 28-june 2-july 2010. There are some registration + accomodation grants for students interested in attending BIOMAT-10. For more info: http://www.ugr.es/local/kinetic/biomat/ We apologize in advanced for possible cross-posting. Best regards, The organizers ------ Subject: Jairo Charris Seminar 2010 From: Primitivo Belen Acosta-Humanez Date: Wed, 21 Apr 2010 14:45:33 -0500 JAIRO CHARRIS SEMINAR (JCHS) is an IMA annual meeting which is dedicated to Jairo Antonio Charris Casta\~neda (in memoriam), see http://ima.usergioarboleda.edu.co/SJCH/JCHS.htm Thematic for JCHS 2010 is Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics (see http://ima.usergioarboleda.edu.co/SJCH/JCHS2010.htm). Scientific committee is conformed by Peter Olver, Alexander Turbiner, Niki Kamran, Mikhail Plyushchay, Alberto Grunbaum and Federico Finkel. Confirmed speakers include Alexander Vesselov, Juan Mateos Guilarte, Horacio Folomir and Juan Morales-Ruiz. Deadline to submit abstracts for talks (50 minutes) and posters is Monday, 3 May 2010. Abstracts (in tex format) should be sent to Primitivo B. Acosta-Humanez (primi@ima.usergioarboleda.edu.co) or David Blazquez-Sanz (david@ima.usergioarboleda.edu.co) Financial assistance is available to assist graduate students with travel costs and/or local expenses (see http://ima.usergioarboleda.edu.co/SJCH/registration2010.htm). ------ Subject: Research Associate in Multiscale Analysis of Spatially Extended Media From: "Dr S Kalliadasis, Dr GA Pavliotis" Date: Wed, 14 Apr 2010 03:02:20 -0400 Research Associate in Multiscale Analysis of Active-Dissipative Nonlinear Spatially Extended Media Department of Chemical Engineering and Chemical Technology and Department of Mathematics, Imperial College London Fixed Term appointment for a period of 3.0 years Salary: GBP31,340 per annum Applications are invited by highly talented researchers for a 36 months Postdoctoral Research Associate position funded by the EPSRC Grant "Active- dissipative nonlinear spatially extended media: Complexity, coarse-graining, multiscale analysis and numerical methods" under the joint supervision of Dr S Kalliadasis, Department of Chemical Engineering and Chemical Technology and Dr GA Pavliotis, Department of Mathematics. The systematic derivation of reduced low-dimensional models for the effective dynamics of spatially extended systems (SES) poses a great scientific challenge with important technological applications. The primary aim of the proposed research is the development of state-of-the-art analytical and numerical methodologies for mode reduction, coarse-graining and multiscale analysis of SES, both deterministic and stochastic. The successful candidate should have a PhD (or equivalent) in Applied Mathematics, Engineering, Physics, or other related area and a strong foundation on applied mathematics/general mathematical modelling, mathematical techniques (analytical and numerical) and stochastic processes. A good knowledge of theoretical fluid mechanics including interfacial/low-to- moderate-Reynolds numbers flows is highly desirable. He/she will be based in the Chemical Engineering Department and will join two highly interdisciplinary teams in Engineering and Mathematics working on a wide variety of exciting projects on the interface between applied mathematics and engineering science fundamentals, stochastic processes, statistical physics, multiscale methods and partial differential equations. If you would like to discuss the project, please contact Dr Serafim Kalliadasis at S.Kalliadasis@imperial.ac.uk, Tel: +44-(0)-20-7594-1373, postal address: Department of Chemical Engineering, Imperial College, London SW7 2AZ, UK or Dr Grigorios A Pavliotis at G.Pavliotis@imperial.ac.uk, Tel: +44-(0)-20-7594-8564, postal address: Department of Mathematics, Imperial College London, London SW7 2AZ, UK. For an application form, job description and person specification please see the link below: Our preferred method of application is online via our website http://www3.imperial.ac.uk/employment (please select "Job Search", "Research" as the "Professional Area" and then enter the job title or vacancy reference number into "Keywords"). Please complete and upload an application form and a copy of your CV as directed. Alternatively, if you are unable to apply online, please contact Mrs Alicia Lithgow on +44-(0)-20-7594-5699, email aj.lithgow@imperial.ac.uk to request an application form. Completed application forms should be submitted, together with a CV that includes a list of publications by the closing date. Closing date for applications: 31 May 2010 Committed to equality and valuing diversity. We are also an Athena Silver SWAN Award winner and a Stonewall Diversity Champion ------ Subject: PhD studentship in Multiscale Analysis of Spatially Extended Media From: "Dr S Kalliadasis, Dr GA Pavliotis" Date: Wed, 14 Apr 2010 03:04:23 -0400 Department of Chemical Engineering and Chemical Technology and Department of Mathematics, Imperial College London PhD studentship in Multiscale Analysis of Active-Dissipative Nonlinear Spatially Extended Media Fixed Term appointment for a period of 3.0 years Salary: GBP15,290 per annum Applications are invited by highly talented researchers for a 36 months PhD studentship funded by the EPSRC Grant ?Active-dissipative nonlinear spatially extended media: Complexity, coarse-graining, multiscale analysis and numerical methods? under the joint supervision of Dr S Kalliadasis, Department of Chemical Engineering and Chemical Technology and Dr GA Pavliotis, Department of Mathematics. The systematic derivation of reduced low-dimensional models for the effective dynamics of spatially extended systems (SES) poses a great scientific challenge with important technological applications. The primary aim of the proposed research is the development of state-of-the-art analytical and numerical methodologies for mode reduction, coarse-graining and multiscale analysis of SES, both deterministic and stochastic. The successful candidate should preferably have a Masters degree (or equivalent), Diploma (or equivalent) in Applied Mathematics, Engineering, Physics, or other related area and a strong foundation on applied mathematics/general mathematical modelling, mathematical techniques (analytical and numerical) and stochastic processes. A good knowledge of statistical mechanics is highly desirable. Without a Masters, a first Bachelors degree at first class or an upper 2:1 or the equivalent standard from a European University is the minimum requirement. He/she will be based in the Mathematics Department and will join two highly interdisciplinary teams in Engineering and Mathematics working on a wide variety of exciting projects on the interface between applied mathematics and engineering science fundamentals, stochastic processes, statistical physics, multiscale methods and partial differential equations. This fully funded studentship also provides the student tuition fees at the UK/EU rate. If you would like to discuss the project, please contact Dr Serafim Kalliadasis at S.Kalliadasis@imperial.ac.uk, Tel: +44-(0)-20-7594-1373, postal address: Department of Chemical Engineering, Imperial College, London SW7 2AZ, UK or Dr Grigorios A Pavliotis at G.Pavliotis@imperial.ac.uk, Tel: +44-(0)-20-7594-8564, postal address: Department of Mathematics, Imperial College London, London SW7 2AZ, UK. To apply please complete a College application form, which can be obtained from: http://www3.imperial.ac.uk/pgprospectus/applicationforms To submit your application please follow the instructions at http://www3.imperial.ac.uk/pgprospectus/applicationforms and also include a copy of your CV. Alternatively, if you are unable to apply online, please contact Mrs Alicia Lithgow on +44-(0)-20-7594-5699, email aj.lithgow@imperial.ac.uk to request an application form. Completed application forms should be submitted, together with a CV that includes a list of publications by the closing date. Closing date for applications: 31 May 2010 Committed to equality and valuing diversity. We are also an Athena Silver SWAN Award winner and a Stonewall Diversity Champion ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 28:2 From: Liwei Ning Date: Fri, 30 Apr 2010 12:54:48 -0500 Discrete and Continuous Dynamical Systems Series A (DCDS-A) Volume: 28, Number: 2 October 2010 http://aimsciences.org/journals/displayPapers1.jsp?pubID=362 We offer a couple of weeks free online access to the full paper of DCDS-A 28-1, A special issue "Dedicated to Louis Nirenberg on the Occasion of his 85th Birthday " Part I. Luis A. Caffarelli and YanYan Li pages{i--ii} Preface doi:10.3934/dcds.2010.28.2i Gershon Kresin and Vladimir Maz'ya pages{425--440} Optimal estimates for the gradient of harmonic functions in the multidimensional half-space doi:10.3934/dcds.2010.28.425 Changfeng Gui, Huaiyu Jian and Hongjie Ju pages{441--453} Properties of translating solutions to mean curvature flow doi:10.3934/dcds.2010.28.441 Martin Schechter pages{455--468} Monotonicity methods for infinite dimensional sandwich systems doi:10.3934/dcds.2010.28.455 Carlo Mercuri and Michel Willem pages{469--494} A global compactness result for the p-Laplacian involving critical nonlinearities doi:10.3934/dcds.2010.28.469 Martin Fraas, David Krej\v{c}i\v{r}\'{\i}k and Yehuda Pinchover pages{495--509} On some strong ratio limit theorems for heat kernels doi:10.3934/dcds.2010.28.495 Giovanni Bonfanti and Arrigo Cellina pages{511--517} The validity of the Euler-Lagrange equation doi:10.3934/dcds.2010.28.511 Mariano Giaquinta, Paolo Maria Mariano and Giuseppe Modica pages{519--537} A variational problem in the mechanics of complex materials doi:10.3934/dcds.2010.28.519 Italo Capuzzo Dolcetta and Antonio Vitolo pages{539--557} Glaeser's type gradient estimates for non-negative solutions of fully nonlinear elliptic equations doi:10.3934/dcds.2010.28.539 Alessio Figalli and Young-Heon Kim pages{559--565} Partial regularity of Brenier solutions of the Monge-Amp\`ere equation doi:10.3934/dcds.2010.28.559 Joel Spruck and Yisong Yang pages{567--589} Charged cosmological dust solutions of the coupled Einstein and Maxwell equations doi:10.3934/dcds.2010.28.567 Luigi Ambrosio, Michele Miranda jr. and Diego Pallara pages{591--606} Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability doi:10.3934/dcds.2010.28.591 Zheng-Chao Han and Yanyan Li pages{607--615} On the local solvability of the Nirenberg problem on $\mathbb S^2$ doi:10.3934/dcds.2010.28.607 Bernard Helffer, Thomas Hoffmann-Ostenhof and Susanna Terracini pages{617--635} Nodal minimal partitions in dimension $3$ doi:10.3934/dcds.2010.28.617 Cristian Bereanu, Petru Jebelean and Jean Mawhin pages{637--648} Radial solutions for Neumann problems with $\phi$-Laplacians and pendulum-like nonlinearities doi:10.3934/dcds.2010.28.637 Alfonso Castro and Benjamin Preskill pages{649--658} Existence of solutions for a semilinear wave equation with non-monotone nonlinearity doi:10.3934/dcds.2010.28.649 Sun-Yung Alice Chang and Yu Yuan pages{659--664} A Liouville problem for the Sigma-2 equation doi:10.3934/dcds.2010.28.659 Helmut Hofer, Kris Wysocki and Eduard Zehnder pages{665--788} Sc-smoothness, retractions and new models for smooth spaces doi:10.3934/dcds.2010.28.665 Baojun Bian and Pengfei Guan pages{789--807} A structural condition for microscopic convexity principle doi:10.3934/dcds.2010.28.665 Kung-Ching Chang, Zhi-Qiang Wang and Tan Zhang pages{809--826} On a new index theory and non semi-trivial solutions for elliptic systems doi:10.3934/dcds.2010.28.809 Giovanna Cerami and Riccardo Molle pages{827--844} On some Schr\"odinger equations with non regular potential at infinity doi:10.3934/dcds.2010.28.827 Isabeau Birindelli and Stefania Patrizi pages{845--863} A Neumann eigenvalue problem for fully nonlinear operators doi:10.3934/dcds.2010.28.845 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 28:3 From: Liwei Ning Date: Fri, 30 Apr 2010 13:08:55 -0500 Discrete and Continuous Dynamical Systems Series A (DCDS-A) Volume: 28, Number: 3 November 2010 http://aimsciences.org/journals/displayPapers1.jsp?pubID=363 We offer a couple of weeks free online access to the full paper of DCDS-A 28-3, A special issue "Dedicated to Louis Nirenberg on the Occasion of his 85th Birthday " Part II. Luis A. Caffarelli and YanYan Li pages{i--ii} Preface doi:10.3934/dcds.2010.28.3i Ovidiu Savin pages{865--873} A Liouville theorem for solutions to the linearized Monge-Ampere equation doi:10.3934/dcds.2010.28.865 Vieri Benci and Donato Fortunato pages{875--897} Hylomorphic solitons on lattices doi:10.3934/dcds.2010.28.875 Guji Tian and Xu-jia Wang pages{899--913} Partial regularity for elliptic equations doi:10.3934/dcds.2010.28.899 Luis A. Caffarelli and Fang Hua Lin pages{915--929} Analysis on the junctions of domain walls doi:10.3934/dcds.2010.28.915 Gabriella Tarantello pages{931--973} Analytical, geometrical and topological aspects of a class of mean field equations on surfaces doi:10.3934/dcds.2010.28.931 Manuel del Pino, Michal Kowalczyk and Juncheng Wei pages{975--1006} The Jacobi-Toda system and foliated interfaces doi:10.3934/dcds.2010.28.975 Sergiu Klainerman and Igor Rodnianski pages{1007--1031} On emerging scarred surfaces for the Einstein vacuum equations doi:10.3934/dcds.2010.28.1007 Craig Cowan, Pierpaolo Esposito and Nassif Ghoussoub pages{1033--1050} Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains doi:10.3934/dcds.2010.28.1033 King-Yeung Lam and Wei-Ming Ni pages{1051--1067} Limiting profiles of semilinear elliptic equations with large advection in population dynamics doi:10.3934/dcds.2010.28.1051 Luis Silvestre pages{1069--1081} H\"older continuity for integro-differential parabolic equations with polynomial growth respect to the gradient doi:10.3934/dcds.2010.28.1069 Henri Berestycki and Juncheng Wei pages{1083--1099} On least energy solutions to a semilinear elliptic equation in a strip doi:10.3934/dcds.2010.28.1083 Ivar Ekeland pages{1101--1119} From Frank Ramsey to Ren\'{e} Thom: A classical problem in the calculus of variations leading to an implicit differential equation doi:10.3934/dcds.2010.28.1101 Jiakun Liu and Neil S. Trudinger pages{1121--1135} On Pogorelov estimates for Monge-Amp\`ere type equations doi:10.3934/dcds.2010.28.1121 Gang Tian pages{1137--1150} Finite-time singularity of K{\"a}hler-Ricci flow doi:10.3934/dcds.2010.28.1137 Sun-Yung Alice Chang, Xi-Nan Ma and Paul Yang pages{1151--1164} Principal curvature estimates for the convex level sets of semilinear elliptic equations doi:10.3934/dcds.2010.28.1151 Maxim Arnold and Walter Craig pages{1165--1178} On the size of the Navier - Stokes singular set doi:10.3934/dcds.2010.28.1165 Xavier Cabre and Eleonora Cinti pages{1179--1206} Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian doi:10.3934/dcds.2010.28.1179 Umberto Mosco and Maria Agostina Vivaldi pages{1207--1235} Vanishing viscosity for fractal sets doi:10.3934/dcds.2010.28.1207 Chiun-Chuan Chen and Chang-Shou Lin pages{1237--1272} Mean field equations of Liouville type with singular data: Sharper estimates doi:10.3934/dcds.2010.28.1237 Ching-Lung Lin, Gunther Uhlmann and Jenn-Nan Wang pages{1273--1290} Optimal three-ball inequalities and quantitative uniqueness for the Stokes system doi:10.3934/dcds.2010.28.1273 Yong Lin, Gabor Lippner, Dan Mangoubi and Shing-Tung Yau pages{1291--1298} Nodal geometry of graphs on surfaces doi:10.3934/dcds.2010.28.1291 ------ Subject: Contents, Physica D: Nonlinear Phenomena 239:12 From: ScienceDirect Message Center Date: Mon, 19 Apr 2010 12:13:24 -0400 New Volume/Issue is now available on ScienceDirect! * Physica D: Nonlinear Phenomena Volume 239, Issue 12, Pages 905-1082 (15 June 2010) http://www.sciencedirect.com/science/issue/5537-2010-997609987-1890792 TABLE OF CONTENTS 1) A canonical model for gradient frequency neural networks Pages 905-911 Edward W. Large, Felix V. Almonte, Marc J. Velasco 2) Magnetohydrodynamic turbulent flows: Existence results Pages 912-923 Mamadou Sango 3) Universality for the Pearcey process Pages 924-941 Mark Adler, Nicolas Orantin, Pierre van Moerbeke 4) Lorentz-violating effects on topological defects generated by two real scalar fields Pages 942-947 D. Bazeia, M.M. Ferreira Jr., A.R. Gomes, R. Menezes 5) Large time behavior and asymptotic stability of the 2D Euler and linearized Euler equations Pages 948-966 Freddy Bouchet, Hidetoshi Morita 6) Proteomic signals in modular transcriptional cascades: A discrete time and cellular automaton approach Pages 967-971 A.S. Carstea, A.T. Grecu, D. Grecu 7) Polymorphic and regular localized activity structures in a two-dimensional two-component reaction-diffusion lattice with complex threshold excitation Pages 972-987 V.I. Nekorkin, A.S. Dmitrichev, J.M. Bilbault, S. Binczak 8) Obstacle and predator avoidance in a model for flocking Pages 988-996 Nicholas A. Mecholsky, Edward Ott, Thomas M. Antonsen Jr. 9) Kolmogorov-Sinai entropy from the ordinal viewpoint Pages 997-1000 Karsten Keller, Mathieu Sinn 10) Reply to: "Comment on: `Image encryption with chaotically coupled chaotic maps' [Physica D 2010]" Page 1001 A.N. Pisarchik, M. Zanin 11) Comment on "Image encryption with chaotically coupled chaotic maps" Pages 1002-1006 David Arroyo, Shujun Li, Jose Maria Amigo, Gonzalo Alvarez, Rhouma Rhouma 12) Rotating spiral waves in lambda-omega systems on circular domains Pages 1007-1025 Je-Chiang Tsai 13) Emergence and evolution of multiple clusters of attracting agents Pages 1026-1037 Dirk Aeyels, Filip De Smet 14) Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity Pages 1038-1047 Daniele Avitabile, Thomas J. Bridges 15) Stability of bumps in piecewise smooth neural fields with nonlinear adaptation Pages 1048-1060 Zachary P. Kilpatrick, Paul C. Bressloff 16) A highly efficient algorithm for the generation of random fractal aggregates Pages 1061-1066 M.R. Brown, R. Errington, P. Rees, P.R. Williams, S.P. Wilks 17) Swinging Atwood Machine: Experimental and numerical results, and a theoretical study Pages 1067-1081 O. Pujol, J.P. Perez, J.P. Ramis, C. Simo, S. Simon, J.A. Weil ------ Subject: Contents, Nonlinearity 23:5 From: Emma Avery Date: Mon, 26 Apr 2010 10:24:47 +0100 NONLINEARITY Volume 23, Issue 5, May 2010 Individual articles are free for 30 days following their publication on the web. This issue is available at: URL: http://iopscience.iop.org/0951-7715/23/5 Pages: 1031--1244 PAPERS 1031 M\"obius number systems based on interval covers Petr K\r{u}rka and Alexandr Kazda 1047 Generalized dimensions of measures on almost self-affine sets Kenneth J Falconer 1071 Statistical properties of intermittent maps with unbounded derivative Giampaolo Cristadoro, Nicolai Haydn, Philippe Marie and Sandro Vaienti 1097 On the regularity of the solutions of the Navier--Stokes equations via one velocity component Yong Zhou and Milan Pokorn\'y 1109 Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications Yuming Xing and Shusen Ding 1121 Coupled map networks Jos\'e Koiller and Lai-Sang Young 1143 Meromorphic solutions to the KdV equation with non-decaying initial data supported on a left half line Alexei Rybkin 1169 Geometric shadowing in slow--fast Hamiltonian systems Niklas Br\"annstr\"om, Emiliano de Simone and Vassili Gelfreich 1185 Dimension of Besicovitch--Eggleston sets in countable symbolic space Aihua Fan, Lingmin Liao, Jihua Ma and Baowei Wang 1199 Invisible parts of attractors Yu Ilyashenko and A Negut 1221 Existence of ground states for a modified nonlinear Schr\"odinger equation David Ruiz and Gaetano Siciliano 1235 Non-uniformly hyperbolic periodic points and uniform hyperbolicity for C^1 diffeomorphisms Wenxiang Sun and Xueting Tian ------ Subject: Contents, Inverse Problems 26:5 From: Emma Avery Date: Tue, 27 Apr 2010 12:22:55 +0100 INVERSE PROBLEMS Volume 26, Issue 5, May 2010 Article numbers: 055001--055012 Individual articles are free for 30 days following their publication on the web. This issue is available at: http://iopscience.iop.org/0266-5611/26/5 PAPERS 055001 Identification of a spheroidal defect in an elastic solid using a reciprocity gap functional E I Shifrin and P S Shushpannikov 055002 Accelerated Landweber iteration in Banach spaces Torsten Hein and Kamil S Kazimierski 055003 Inverse problems for Sturm--Liouville equations with boundary conditions polynomially dependent on the spectral parameter G Freiling and V A Yurko 055004 The linear sampling method and energy conservation R Aramini, G Caviglia, A Massa and M Piana 055005 The inverse scattering transform and squared eigenfunctions for the nondegenerate 3 $\times$ 3 operator and its soliton structure D J Kaup and Robert A Van Gorder 055006 Model functions in the modified L-curve method---case study: the heat flux reconstruction in pool boiling Yi Heng, Shuai Lu, Adel Mhamdi and Sergei V Pereverzev 055007 The split common fixed-point problem for demicontractive mappings A Moudafi 055008 Guided Bayesian optimal experimental design M R Khodja, M D Prange and H A Djikpesse 055009 The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann--Hilbert problems Carlos \'Alvarez-Fern\'andez, Ulises Fidalgo and Manuel Ma\~nas 055010 The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval Masaru Ikehata 055011 Two-dimensional near-field microwave holography Maryam Ravan, Reza K Amineh and Natalia K Nikolova 055012 The inverse resonance problem for CMV operators Rudi Weikard and Maxim Zinchenko