Digest of the Non Linear Science Network, Volume 05, Number 20 November 1, 2005 Editor: Angel Jorba Topics: Workshop, Transport and Coupled Processes in Micro and Nanotechnology School on Automation of Math. Modelling & Turbulent Flow Simulation Ph.D. Studies in San Diego Postdoc at CEMAT/IST, Lisbon - Portugal Postdoctoral position at Cemagref Lyon Post-doc position at Oregon State University Tenure-track Positions at University of Tennessee New Book: Current Trends in Nonlinear Systems and Control New Book, Continuum Mechanics using Mathematica(r) Contents, Discrete and Continuous Dynamical Systems - B 6:1 Contents, Nonlinearity 18:6 Contents, Communications in Mathematical Sciences 3:4 Contents, Physica D: Nonlinear Phenomena, 211:3-4 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: Workshop, Transport and Coupled Processes in Micro and Nanotechnology From: Roderick Melnik Date: Thu, 20 Oct 2005 19:34:31 -0500 Contributions are invited to the 2006 Minisymposium on Transport and Coupled Processes in Micro- and Nanotechnology organized as a special session at the 7th World Congress on Computational Mechanics. The 2006 meeting will take place in Los Angeles on July 16 - 22, 2006. One page abstracts submission deadline is November 15, 2005. Please submit your abstract online. Follow the instructions given at the website of the 2006 Workshop at http://www.mmcs.wlu.ca/workshop2006_wccm7.html or visit the Congress website and follow the link to the workshop. Workshop organizers: Roderick Melnik (WLU, Waterloo), Alex Povitsky (Akron), Deepak Srivastava (NASA), and David Hash (NASA). ------ Subject: School on Automation of Math. Modelling & Turbulent Flow Simulation From: Knut Andreas Lie Date: Mon, 17 Oct 2005 13:12:24 +0200 Winter School, Dr. Holms Hotel, Geilo, Norway, March 5-10, 2006: AUTOMATION OF COMPUTATIONAL MATHEMATICAL MODELING / TURBULENT FLOW SIMULATION LECTURES: Johan Hoffman, NADA, Royal Institute of Technology KTH, Stockholm Anders Logg, Toyota Technological Institute at Chicago The first part of the winter school gives an introduction to the mathematics behind the FEniCS project (http://www.fenics.org/). The vision of FEniCS is to set a new standard computational mathematics with respect to generality, efficiency, and simplicity concerning mathematical methodology, implementation, and application. The basic ingredients are: * automation of discretization of differential/integral equations, * automation of discrete solution, * automation of error control, * automation of modeling, * automation of optimization In the second part, Hoffman will introduce a nonstandard approach to turbulence modelling based upon adaptivity and discretization by stabilized Galerkin finite element methods. REGISTRATION: Deadline for registration is January 20 2006. Please use the registration form available at http://www.math.sintef.no/vskoler/ ORGANIZERS: Aslak Tveito, Bjorn Fredrik Nielsen, Knut-Andreas Lie ------ Subject: Ph.D. Studies in San Diego From: "Jose E. Castillo" Date: Thu, 27 Oct 2005 16:06:15 -0700 The Computational Science Research Center at San Diego State University is looking for qualified applicants for its interdisciplinary Ph.D. program (joint with Claremont Graduate University) in Computational Science. We have financial support in the form of Teaching, Graduate and Research Assistantships and Fellowships. Areas of interest include Nonlinear Dynamics, Biomathematics, Soft Condensed Matter Physics, Relativistic Astrophysics, General Relativity, Material Sciences, Geophysics, Nuclear Physics and Physical Oceanography. Please see our web page (www.csrc.sdsu.edu) for details about our program including application process, deadlines and faculty research interest. http://www.csrc.sdsu.edu/csrc/education/graduate_programs/phd/ Best Regards, Jose E. Castillo Director / Professor Computational Science Research Center San Diego State University ------ Subject: Postdoc at CEMAT/IST, Lisbon - Portugal From: Adelia Sequeira Date: Wed, 19 Oct 2005 00:45:43 +0100 Postdoctoral Research Position at IST The Center for Mathematics and its Applications - CEMAT of Instituto Superior Tecnico (Lisbon, Portugal) offers a 12 months/6 months postdoctoral position to work in the group of Numerical Analysis and Applications in Continuum Mechanics, in one of the following topics: - Mathematical analysis and numerical simulations in Fluid Mechanics - Numerical methods for singular Volterra integral equations and ODEs - Inverse problems in PDEs. Applicants should have a Doctoral Degree in Applied Mathematics, Physics or Engineering.and must show very strong research skills in one of the areas above. The amount of the grant is 1 495 euros (one thousand four hundred and ninety five euros) per month, free of taxes, according to the Portuguese scholarship system (http://www.fct.mces.pt). There are no teaching duties associated with this position. The position is available immediately. The closing date for applications in November 15, 2005. To ensure full consideration, interested candidates should send a CV (in Postscript or PDF format) and two letters of recommendation (with contacts information: e-mail addresses and telephone numbers) to Prof. Adelia Sequeira Departamento de Matematica Instituto Superior Tecnico Av. Rovisco Pais, 1 1049-001 Lisboa - PORTUGAL adelia.sequeira@math.ist.utl.pt ------ Subject: Postdoctoral position at Cemagref Lyon From: Jean-Baptiste FAURE Date: Wed, 19 Oct 2005 11:12:23 +0200 Postdoctoral position The results of numerical models in fluvial hydraulics are affected by uncertainties in boundary conditions, river topography or roughness coefficients.The aim of this work is to setup methodology for model output uncertainty estimation. Actually a first study is in hand with automatic differentiation of free surface hydraulic codes MAGE (1D) and RUBAR20 (2D) developed at Cemagref Now we want to use the dual code to study the question of how to pass from sensitivity analysis to uncertainty propagation, in terms of confidence interval or in a deterministic form which is to be defined. Applicant will work on the following points, by aiming in particular the flows in urban environment: 1.What sources of uncertainty have to be taken in account: geometry, different kinds of flow resistance, boundary condition.h 2.What output variables are suitable for evaluating numerical model uncertainty. 3.Definition of a measurement of uncertainty. 4.Outline of an automatic procedure of evaluation of uncertainties. A PhD in fluid mechanics / hydraulics or in applied mathematics - scientific computation is required. The contract (restricted to non-French citizen) will have a duration of 10 months with 25 000 Euros. The successful candidate will be a willing and effective communicator and committed to team collaboration. Applications with full CV giving names and addresses of two referees should be sent to: faure@lyon.cemagref.fr Cemagref Lyon: http://www.cemagref.lyon.fr/hh/ Lyon city : http://www.mairie-lyon.fr/ ------ Subject: Post-doc position at Oregon State University From: Malgorzata Peszynska Date: Tue, 25 Oct 2005 10:54:11 -0700 (PDT) DEPARTMENT OF MATHEMATICS OREGON STATE UNIVERSITY POST-DOCTORAL RESEARCH ASSOCIATE POSITION The Department of Mathematics invites applications for a full-time, 9-month, fixed-term Postdoctoral/Research Associate position in Applied Mathematics beginning in Winter 2006 or later depending on arrangements. This position will involve some teaching responsibilities and mainly research activities in the direction of the project "Multiscale modeling, analysis, and simulation of preferential flow in porous media." For more information on the project see www.math.oregonstate.edu/~multiscale or write to multiscale@math.oregonstate.edu. The successful applicant will have a PhD in Mathematics or closely related field, significant active research engagement in modeling and/or analytical, and/or computational aspects of multiscale phenomena and teaching experience. Strong background and/or experience in at least two of the three areas: i) modeling and analysis of flow and transport phenomena, ii) computational methods appropriate for such models, and iii) experience with multiscale methods are required. Reappointment is at the discretion of the department Chair. Salary will depend on qualifications and on the extent of duties. Applicants should send a letter of application describing research interests and qualifications, and curriculum vitae. Additionally, at least three letters of recommendation, one of which addresses teaching, are required. Electronic applications are preferred and should be emailed to: multiscale@math.oregonstate.edu. For full consideration, the applications must be received by December 31, 2005. Review of applications will begin upon receipt. Oregon State University is an AA/EOE. ------ Subject: Tenure-track Positions at University of Tennessee From: Xiaobing Feng Date: Thu, 27 Oct 2005 15:03:10 -0400 The Mathematics Department of the University of Tennessee invites applications for a tenure-track Assistant Professor position in Computational/Applied Mathematics, starting August 1,2006. Preference will be given to candidates with research interests in numerical partial differential equations with applications to materials science, biology, image processing, fluid mechanics, optimization, or related areas. Candidates with an interest in interacting with other areas in the department and the nearby Oak Ridge National Laboratory are encouraged to apply. A Ph.D. is required. Postdoctoral experience is preferred but not required. Substantial research promise and dedication to teaching are paramount. Interested applicants should arrange to have a vita, three reference letters, a research statement (including abstracts), and evidence of quality teaching sent to Computational/Applied Math Search, Department of Mathematics, The University of Tennessee, Knoxville, TN 37996-1300. Electronic applications are not acceptable. Use of the AMS application form is appreciated. Review of applications will begin December 15 and will continue until the position is filled. Information about the department can be found at http://www.math.utk.edu/. UT Knoxville is an EEG/AA/Title VI/Title IX/Section 504/ADA/ADEA institution in the provision of its education and employment programs and services. ------ Subject: New Book: Current Trends in Nonlinear Systems and Control From: "Gorenshteyn, Regina, Birkhauser US" Date: Mon, 24 Oct 2005 15:09:50 -0400 Current Trends in Nonlinear Systems and Control In Honor of Petar Kokotovic and Turi Nicosia Laura Menini, University of Rome 'Tor Vergata', Rome, Italy Luca Zaccarian, University of Rome 'Tor Vergata', Rome, Italy Chaouki T. Abdallah, University of New Mexico, Albuquerque, NM, USA Forthcoming - December 2005 / Approx. 576 pp. / 162 illus. / Hardcover / $119.00 / ISBN: 0-8176-4383-4/ Birkhaeuser Series - Systems & Control: Foundations & Applications This volume is an outgrowth of the workshop "Applications of Advanced Control Theory to Robotics and Automation, "organized in honor of the 70th birthdays of Petar V. Kokotovic and Salvatore Nicosia. Both Petar and Turi have carried out distinguished work in the control community and have long been recognized as mentors, as well as experts and pioneers in the field of automatic control, covering many topics in control theory and several different applications. The variety of their research is reflected in this book, which includes contributions ranging from mathematics to laboratory experiments. The scope of the work is very broad, and although each chapter is self-contained, the book has been organized into thematically related chapters, which in some cases, suggest to the reader a convenient reading sequence. The great variety of topics covered and the almost tutorial writing style used by many of the authors will make this book suitable for both experts in the control field and young researchers who seek a more intuitive understanding of these relevant topics in the field. Main Table of Contents: Foreword * Preface * Part I: State estimation and identification * Part II: Control and system theory * Part III: Robotics * Part IV: Control of electromechanical systems * Part V: Manufacturing systems * Part VI: Networked control systems * Index For a full table of contents, description of the book, and ordering information, please visit: http://www.springeronline.com/0-8176-4383-4. ------ Subject: New Book, Continuum Mechanics using Mathematica(r) From: "Gorenshteyn, Regina, Birkhauser US" Date: Mon, 24 Oct 2005 16:11:45 -0400 Continuum Mechanics using Mathematica(r) Fundamentals, Applications, and Scientific Computing Antonio Romano, Universita degli Studi di Napoli "Federico II," Napoli, Italy Renato Lancellotta, Politecnico di Torino, Torino, Italy Addolorata Marasco, Universita degli Studi di Napoli "Federico II," Napoli, Italy Forthcoming - November 2005 / 400 pp. / 66 illus. / Hardcover with CD-ROM / $79.95 / ISBN: 0-8176-3240-9 / Birkhaeuser Series - Modeling and Simulation in Science, Engineering and Technology This book examines mathematical tools, principles, and fundamental applications of continuum mechanics, providing a solid basis for a deeper study of more challenging problems in elasticity, fluid mechanics, plasticity, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes. An accompanying CD-ROM with Mathematica-based exercises, examples, and programs allows readers to quickly solve complex, time-consuming problems related to the application areas covered. The work is suitable for advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering. Table of Contents: Preface * Elements of Linear Algebra * Vector Analysis * Finite and Infinitesimal Deformations * Kinematics * Balance Equations * Constitutive Equations * Symmetry Groups: Solids and Fluids * Wave Propagation * Fluid Mechanics * Linear Elasticity * Other Approaches to Thermodynamics * References * Index For a full description of the book and ordering information, please visit: http://www.springeronline.com/0-8176-3240-9. ------ Subject: Contents, Discrete and Continuous Dynamical Systems - B 6:1 From: Hu_Shouchuan Date: Sun, 16 Oct 2005 09:57:08 -0500 Discrete and Continuous Dynamical Systems - Series B http://AIMsciences.org Authors: Gregoire Allaire and M. Vanninathan Pages : 1 - 16 Title: HOMOGENIZATION OF THE SCHR?ODINGER EQUATION WITH A TIME OSCILLATING POTENTIAL Authors: Hi Jun Choe, Do Wan Kim and Yongsik Kim Pages: 17 - 39 Title: MESHFREE METHOD FOR THE NON-STATIONARY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS Authors: Yinnian He, Yanping Lin and Weiwei Sun Pages: 41 - 68 Title: STABILIZED FINITE ELEMENT METHOD FOR THE NON-STATIONARY NAVIER-STOKES PROBLEM Authors: Hisashi Inaba Pages: 69 - 96 Title: MATHEMATICAL ANALYSIS OF AN AGE-STRUCTURED SIR EPIDEMIC MODEL WITH VERTICAL TRANSMISSION Authors: M. R. S. Kulenovic and Orlando Merino Pages: 97 - 110 Title: A GLOBAL ATTRACTIVITY RESULT FOR MAPS WITH INVARIANT BOXES Authors: WILLIAM LAYTON AND R. LEWANDOWSKI Pages: 111 - 128 Title: ON A WELL-POSED TURBULENCE MODEL Authors: URSZULA LEDZEWICZ AND HEINZ SCHATTLER Pages: 129 - 150 Title: DRUG RESISTANCE IN CANCER CHEMOTHERAPY AS AN OPTIMAL CONTROL PROBLEM Authors: Jonatan Lenells Pages: 151 - 167 Title: TRAVELING WAVES IN COMPRESSIBLE ELASTIC RODS Authors: Tian Ma and Shouhong Wang Pages: 169 - 184 Title: BLOCK STRUCTURE AND BLOCK STABILITY OF TWO-DIMENSIONAL INCOMPRESSIBLE FLOWS Authors: Mahin Salmani and P. van den Driessche Pages: 185 - 202 Title: A MODEL FOR DISEASE TRANSMISSION IN A PATCHY ENVIRONMENT Authors: Shubin Wang and Guowang Chen Pages: 203 - 214 Title: CAUCHY PROBLEM FOR THE NONLINEAR SCHRODINGER-IMBQ EQUATIONS Authors: JOSEF HOFBAUER AND SYLVAIN SORIN Pages: 215 - 224 Title: BEST RESPONSE DYNAMICS FOR CONTINUOUS ZERO-SUM GAMES Authors: Jan Pruss, Laurent Pujo-Menjouet, G.F. Webb and Rico Zacher Pages: 225 - 235 Title: ANALYSIS OF A MODEL FOR THE DYNAMICS OF PRIONS ------ Subject: Contents, Nonlinearity 18:6 From: Liz Martin Date: Mon, 17 Oct 2005 12:38:52 +0100 NONLINEARITY Volume 18, Issue 6, November 2005 All articles are free for 30 days after publication on the web. This issue is available at: URL: http://stacks.iop.org/0951-7715/18/i=6 Pages: R17-44, 2409-2908 INVITED ARTICLE R17 Recent progress in understanding the transition to turbulence in a pipe R R Kerswell PAPERS 2409 Multibump solutions homoclinic to periodic orbits of large energy in a centre manifold V Coti Zelati and M Macr\` \i 2447 Analyticity of the susceptibility function for unimodal Markovian maps of the interval Y Jiang and D Ruelle 2455 Creeping fronts in degenerate reaction--diffusion systems S Heinze and B Schweizer 2477 Testing the irreversibility of a Gibbsian process via hitting and return times J-R Chazottes and F Redig 2491 Bose--Einstein condensates in the presence of a magnetic trap and optical lattice: two-mode approximation T Kapitula and P G Kevrekidis 2513 Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori S Koci\'c 2545 Large deviations for empirical entropies of {\em g}-measures J-R Chazottes and D Gabrielli 2565 Critical points of the Onsager functional on a sphere I Fatkullin and V Slastikov 2581 Low regularity solutions of the Chern--Simons--Higgs equations H Huh 2591 Discrete embedded solitons K Yagasaki, A R Champneys and B A Malomed 2615 A simple model of the charge transfer in DNA-like substances N R Walet and W J Zakrzewski 2637 Explicit periodic solutions in a model of a relay controller with delay and forcing D A W Barton, B Krauskopf and R E Wilson 2657 Persistence of steady flows of a two-dimensional perfect fluid in deformed domains D Wirosoetisno and J Vanneste 2681 The construction of a partially regular solution to the Landau--Lifshitz--Gilbert equation in ${\mathbb R}^2$ J Ko 2715 A note on H\"older regularity of invariant distributions for horocycle flows S Cosentino 2727 A note about exponentially attracting invariant manifold of ODEs Y Cao and L Xu 2737 Geodesics of vibrating surfaces and curvature of the normal family M Levi and Q Ren 2745 A mathematical model for the spread of morphogens with density dependent chemosensitivity J H Merkin, D J Needham and B D Sleeman 2775 The Maslov index and nondegenerate singularities of integrable systems J A Foxman and J M Robbins 2795 Singularities, Lax degeneracies and Maslov indices of the periodic Toda chain J A Foxman and J M Robbins 2815 A new proof on axisymmetric equilibria of a three-dimensional Smoluchowski equation H Zhou, H Wang, M G Forest and Q Wang 2827 Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling S A Campbell, Y Yuan and S D Bungay 2847 A dynamical proof for the convergence of Gibbs measures at temperature zero R Leplaideur 2881 Non-adiabatic KPP fronts with an arbitrary Lewis number F Hamel and L Ryzhik ------ Subject: Contents, Communications in Mathematical Sciences 3:4 From: Communications in Math Sciences Date: Mon, 24 Oct 2005 11:00:07 -0500 ------------------------------------------------------------------------ Communications in Mathematical Sciences (CMS) Vol 3, No.4, 2005 to be published in December 2005 ------------------------------------------------------------------------ Abstract is available at www.math.wisc.edu/~jcms full articles will be available at www.intlpress.com/CMS ------------------------------------------------------------------------ O. Scherzer, Wotao Yin and S. Osher Slope and G-set characterization of set-valued functions and applications to non-differentiable optimization problems Zhimin Chen, Weibing Deng and Huang Ye Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media Hsiao-Bing Cheng, Li-Tien Cheng and Shing-Tung Yau Minimization with the affine normal direction Jorge C. Lucero Bifurcations and limit cycles in a model for a vocal fold oscillator Peter Constantin Nonlinear Fokker-Planck Navier-Stokes Systems S. Gottlich, M. Herty and A. Klar Network Models for Supply Chains Alessandro Morando and Denis Serre On the L^2-well posedness of an initial boundary value problem for the 3D linear elasticity M. Hairer, A.M. Stuart, J. Voss and P. Wiberg Analysis of SPDEs arising in path sampling Part I: the Gaussian case Qi Wang, Sarthok Sircar and Hong Zhou Solutions of the Smoluchowski equation for nematic polymers under imposed fields M. Bostan Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system ------ Subject: Contents, Physica D: Nonlinear Phenomena, 211:3-4 From: cdmailer@elsevier.co.uk Date: Thu, 27 Oct 2005 19:14:32 +0100 (BST) For more information about this journal visit: http://www.elsevier.com/locate/physd New singular solutions of the nonlinear Schrodinger equation G. Fibich, N. Gavish, X.P. Wang pp 193-220 Forest fire burn areas in Western Canada modeled as self-similar criticality S.F. Tebbens, S.M. Burroughs pp 221-234 Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection H.K. Nguyen, A.J. Homburg pp 235-262 Transformation invariant stochastic catastrophe theory E.J. Wagenmakers, P.C.M. Molenaar, R.P.P.P. Grasman, P.A.I. Hartelman, H.L.J. van der Maas pp 263-276 Bifurcations and multiple traffic jams in a car-following model with reaction-time delay G. Orosz, B. Krauskopf, R. Wilson pp 277-293 Dynamics of quasi-1D topological soliton in 2D strongly anisotropic crystal E.A. Zubova, A.V. Savin, L.I. Manevitch pp 294-310 Bifurcation analysis of a two-component Bose-Einstein condensate Y.C. Kuo, W.W. Lin, S.F. Shieh pp 311-346 Heteroclinic cycles and periodic orbits for the O(2)-equivariant 0:1:2 mode interaction T.R. Smith, J. Moehlis, P. Holmes pp 347-376 Theory of small aspect ratio waves in deep water R.A. Kraenkel, J. Leon, M.A. Manna pp 377-390 Theory and computation of non-RRKM lifetime distributions and rates in chemical systems with three or more degrees of freedom F. Gabern, W.S. Koon, J.E. Marsden, S.D. Ross pp 391-406