Digest of the Non Linear Science Network, Volume 08, Number 09 May 15, 2008 Editor: Angel Jorba Topics: PhD position in Barcelona Two postdocs in Interdisciplinary Mathematics at Uppsala University Lecturer/Senior Lecturer in Mathematics at University of Chester New book, Differential Dynamical Systems Contents, Discrete and Continuous Dynamical Systems - Series B 10:1 Contents, Discrete and Continuous Dynamical Systems - Series A 21:4 Contents, Physica D: Nonlinear Phenomena 237:8 Contents, Nonlinearity 21:6 A special series of invited articles: Nonlinearity's Open Problems 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: PhD position in Barcelona From: Nuria Fagella Date: Fri, 16 May 2008 16:50:21 +0200 PhD position at Universitat de Barcelona There is a PhD scholarship starting September 1st 2008 (flexible) in Universitat de Barcelona. The position is for 1 year and extendable to 2 years upon performance. After these, alternative funding might be available. Candidates should preferably have a Master's degree (or equivalent) in Mathematics, and have an interest in analysis and dynamical systems. The funds come from the EU Research and Training network CODY and therefore there are restrictions for who can apply (mainly europeans not from Spain, with a Bachelor's degree or equivalent in the last 4 years). For details check http://www.warwick.ac.uk/cody/cody-recruitment_whocanapply.html and for general information on the project http://www.warwick.ac.uk/cody The subject to work on can range among a variety of topics in dynamical systems (mainly complex dynamics but not exclusively) or complex analysis. You may find the Barcelona CODY researchers and their research subjects at http://www.warwick.ac.uk/cody/cody-team_barcelona.html Candidates should send a CV to fagella@maia.ub.es . The yearly salary is: 21.120 eur (before tax) + 8.300 eur tax free. Nuria Fagella http://www.maia.ub.es/~fagella ------ Subject: Two postdocs in Interdisciplinary Mathematics at Uppsala University From: gunilla kreiss Date: Thu, 8 May 2008 03:01:39 -0400 Applications are invited for two postdoctoral research positions at the Center for Interdiciplinary Mathematics, Uppsala University, Sweden. The Center for Interdiciplinary Mathematics (CIM) in Uppsala facilitates novel and exciting joint research between the mathematical sciences and other disciplines and industry, Its main aim is to engage mathematics directly in science by using mathematics to understand real world systems. More information can be found on www.math.uu.se/cims/index.html. Each postdoctoral researcher will work on an interdisciplinary mathematics problem with two supervisors. At least one supervisor will be from the centre's core members: the mathematics department, the scientific computing group, or the systems and control group. The other should preferably come from another department at Uppsala University. For further information about the positions and instructions on how to apply, see www.personalavd.uu.se/ledigaplatser/780forsk_eng.html ------ Subject: Lecturer/Senior Lecturer in Mathematics at University of Chester From: "Neville Ford" Date: Fri, 09 May 2008 17:51:15 +0100 Vacancy for a Lecturer/Senior Lecturer in Mathematics at University of Chester, UK ?29,138 - ?41,545 per annum The Department of Mathematics is seeking to appoint a Lecturer/Senior Lecturer to teach at all levels within the undergraduate and post graduate curricula and to undertake research. The post offers the successful candidate an excellent opportunity to contribute to all aspects of the work of our compact and successful department. You must possess a PhD in Mathematics. Experience of teaching University Mathematics and successful publication of research results will be an advantage Candidates may download further details and an application form from our web site at www.chester.ac.uk/jobs/ or send an A4 SAE to HRM Services, University of Chester, Parkgate Road, Chester CH1 4BJ quoting reference number HRMS/159. Closing date: 21st May 2008 ------ Subject: New book, Differential Dynamical Systems From: James D Meiss Date: Fri, 2 May 2008 09:35:05 -0600 Differential Dynamical Systems, J.D. Meiss SIAM, Philadelphia, 2007. Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts-flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. See ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series B 10:1 From: editorial@aimsciences.org Date: Tue, 6 May 2008 18:00:53 -0400 (EDT) Discrete and Continuous Dynamical Systems Series B(DCDS-B) Volume: 10, Number: 1, July 2008 http://aimsciences.org/journals/dcdsB/dcdsb_online.jsp Hyeong-Ohk Bae and Bum Ja Jin pages{1--18} Estimates of the wake for the 3D Oseen equations Wolf-J\"urgen Beyn and Sergey Piskarev pages{19--42} Shadowing for discrete approximations of abstract parabolic equations Anna Maria Cherubini, Giorgio Metafune and Francesco Paparella pages{43--72} On the stopping time of a bouncing ball Josephus Hulshof and Pascal Noble pages{73--90} Travelling waves for a combustion model coupled with hyperbolic radiation moment models Jiann-Sheng Jiang, Chi-Kun Lin and Chi-Hua Liu pages{91--107} Homogenization of the Maxwell's system for conducting media Patrick J. Johnson and Mark E. Burke pages{109--128} An investigation of the global properties of a two-dimensional competing species model Oleg U. Kirnasovsky, Yuri Kogan and Zvia Agur pages{129--148} Resilience in stem cell renewal: development of the Agur--Daniel--Ginosar model Yi Li and Yaping Wu pages{149--170} Stability of travelling waves with noncritical speeds for double degenerate Fisher-Type equations T. Tachim Medjo pages{171--196} Multi-layer quasi-geostrophic equations of the ocean with delays Arnaud M\"unch and Ademir Fernando Pazoto pages{197--219} Boundary stabilization of a nonlinear shallow beam: theory and numerical approximation Adam~M. Oberman pages{221--238} Wide stencil finite difference schemes for the elliptic Monge-Amp\`ere equation and functions of the eigenvalues of the Hessian Pavlos Xanthopoulos and Georgios E. Zouraris pages{239--263} A linearly implicit finite difference method for a Klein--Gordon--Schr{\"o}dinger system modeling electron-ion plasma waves ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 21:4 From: editorial@aimsciences.org Date: Thu, 8 May 2008 16:00:57 -0400 (EDT) Discrete and Continuous Dynamical Systems A (DCDS-A) Volume: 21, Number: 4, August 2008 http://aimsciences.org/journals/dcdsA/online.jsp Eric Bedford and Kyounghee Kim pages{977--1013} Degree growth of matrix inversion: Birational maps of symmetric, cyclic matrices Krzysztof Bara\'nski pages{1015--1023} Hausdorff dimension of self-affine limit sets with an invariant direction Luis Barreira and Claudia Valls pages{1025--1046} Characterization of stable manifolds for nonuniform exponential dichotomies Mariane Bourgoing pages{1047--1069} Viscosity solutions of fully nonlinear second order parabolic equations with $L^1$ dependence in time and Neumann boundary conditions. Existence and applications to the level-set approach Jifeng Chu and Meirong Zhang pages{1071--1094} Rotation numbers and Lyapunov stability of elliptic periodic solutions Hongjie Dong and Dapeng Du pages{1095--1101} Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space Aihua Fan, Lingmin Liao and Jacques Peyri\`ere pages{1103--1128} Generic points in systems of specification and Banach valued Birkhoff ergodic average Alberto Ferrero, Filippo Gazzola and Hans-Christoph Grunau pages{1129--1157} Decay and local eventual positivity for biharmonic parabolic equations Genni Fragnelli and Dimitri Mugnai pages{1159--1183} Nonlinear delay equations with nonautonomous past A. Kh. Khanmamedov pages{1185--1198} Long-time behaviour of wave equations with nonlinear interior damping Alfredo Lorenzi and Eugenio Sinestrari pages{1199--1219} Identifying a BV-kernel in an hyperbolic integrodifferential equation Pavao Marde\v si\'c, David Mar\'{\i}n and Jordi Villadelprat pages{1221--1244} Unfolding of resonant saddles and the Dulac time Gabriela Planas and Eduardo Hern\'andez pages{1245--1258} Asymptotic behaviour of two-dimensional time-delayed Navier-Stokes equations Shengfan Zhou, Caidi Zhao and Yejuan Wang pages{1259--1277} Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems ------ Subject: Contents, Physica D: Nonlinear Phenomena 237:8 From: ScienceDirect Message Center Date: Fri, 9 May 2008 09:59:58 -0400 * Physica D: Nonlinear Phenomena Volume 237, Issue 8, Pages 1013-1156 (15 June 2008) http://www.sciencedirect.com/science/issue/5537-2008-997629991-688983 TABLE OF CONTENTS 1) Editorial Board Page IFC 2) The notion of persistence applied to breathers in thermal equilibrium Pages 1013-1020 Jean Farago 3) Unbiased ensemble square root filters Pages 1021-1028 David M. Livings, Sarah L. Dance and Nancy K. Nichols 4) Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations Pages 1029-1052 5) Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator Pages 1053-1073 P. Kowalczyk and P.T. Piiroinen 6) Enhanced quantum searching via entanglement and partial diffusion Pages 1074-1078 A. Younes, J. Rowe and J. Miller 7) A note on a class of solitary-like solutions of the Tzitzeica equation generated by a similarity reduction Pages 1079-1087 Alfred Huber 8) Dipole soliton formation in a nematic liquid crystal in the nonlocal limit Pages 1088-1102 Catherine Garcia Reimbert, Antonmaria A. Minzoni, T.R. Marchant, Noel F. Smyth and Annette L. Worthy 9) Instability of bound states of a nonlinear Schrodinger equation with a Dirac potential Pages 1103-1128 Stefan Le Coz, Reika Fukuizumi, Gadi Fibich, Baruch Ksherim and Yonatan Sivan 10) Grazing bifurcations in an elastic structure excited by harmonic impactor motions Pages 1129-1138 X.-H. Long, G. Lin and B. Balachandran 11) Periodic and localized states in natural doubly diffusive convection Pages 1139-1150 A. Bergeon and E. Knobloch 12) Nonlinear dynamic structure rearrangement of vortexlike domain walls in magnetic films with in-plane anisotropy Pages 1151-1156 B.N. Filippov and F.A. Kassan-Ogly ------ Subject: Contents, Nonlinearity 21:6 From: Liz Martin Date: Thu, 15 May 2008 14:34:37 +0100 NONLINEARITY Volume 21, Issue 6, June 2008 Individual articles are free for 30 days following their publication on the web. This issue is available at: URL: http://stacks.iop.org/0951-7715/21/i=6 Pages: T81--100, 1155--1412 OPEN PROBLEMS T81 Linear response despite critical points Viviane~Baladi T91 Modelling DNA at the mesoscale: a challenge for nonlinear science? Michel~Peyrard, Santiago~Cuesta-L\'opez and Guillaume~James PAPERS 1155 Long-time convergence of an adaptive biasing force method Tony~Leli\`evre, Mathias~Rousset and Gabriel~Stoltz 1183 Travelling fronts to nonlinear diffusion equations for triple flames Gregory~Sagon 1207 The non-monotonicity of the entropy of $\alpha$-continued fraction transformations Hitoshi~Nakada and Rie~Natsui 1227 Open set condition and post-critically finite self-similar sets Qi-Rong~Deng and Ka-Sing~Lau 1233 Energy conservation and Onsager's conjecture for the Euler equations A~Cheskidov, P~Constantin, S~Friedlander and R~Shvydkoy 1253 On recursion operators for elliptic models D~K~Demskoi and V~V~Sokolov 1265 Periodic oscillations of discrete NLS solitons in the presence of diffraction management Panayotis~Panayotaros and Dmitry~Pelinovsky 1281 Filtering nonlinear dynamical systems with linear stochastic models J~Harlim and A~J~Majda 1307 On the dihedral $n$-body problem Davide~L~Ferrario and Alessandro~Portaluri 1323 A uniqueness theorem and reconstruction of singularities for a two-dimensional nonlinear Schr\"odinger equation V~Serov and M~Harju 1339 Gap sequence, Lipschitz equivalence and box dimension of fractal sets Hui~Rao, Huo-Jun~Ruan and Ya-Min~Yang 1349 On the motion of several rigid bodies in an incompressible non-Newtonian fluid Eduard~Feireisl, Matthieu~Hillairet and \v~S\'arka~Ne\v casov\'a 1367 Exp\'eriences sur certaines transformations birationnelles quadratiques (Experiments on some birational quadratic transformations) Julie~D\'eserti 1385 Heteroclinic cycles between unstable attractors Henk~Broer, Konstantinos~Efstathiou and Easwar~Subramanian ERRATUM 1411 Lap number entropy formula for piecewise affine and projective maps in several dimensions Yutaka~Ishii and Duncan~Sands ------ Subject: A special series of invited articles: Nonlinearity's Open Problems From: Zoe Crossman Date: Thu, 15 May 2008 09:08:57 +0100 Nonlinearity has reached its 20th year and to celebrate we have commissioned a special series of invited articles for 2008: Open Problems. These articles present personal selections of interesting and/or important problems and challenges from leading researchers in the field. To read them for free, please visit the link below: http://herald.iop.org/NONOPMay08NLSNet/m103/cid//link/1605 The series has made a fantastic start with contributions from Bruno Eckhardt, Leonid A Bunimovich, M V Berry, Y Kifer, Floris Takens, J Palis, E Knobloch, Y Pomeau et al, V Baladi and M Peyrard et al. More articles will be published throughout 2008, so please keep visiting the webpage to read the latest Open Problems. Best wishes, Kate Watt Publisher Nonlinearity www.iop.org/journals/non