Digest of the Non Linear Science Network, Volume 16, Number 14 August 1, 2016 Editor: Angel Jorba Topics: Summer School on Advanced Methods in Applied Mathematics Researcher Position, Climate Simulation, Univ Kiel Postdoc Position, Optimal Control of PDEs Doctoral Position, Mathematics, RWTH Aachen Univ Contents, Physica D: Nonlinear Phenomena 332 Contents, Physica D: Nonlinear Phenomena 333 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: Summer School on Advanced Methods in Applied Mathematics From: Thomas Lorenz Date: Mon, 18 Jul 2016 21:05:42 +0200 International Summer School on Advanced Methods in Applied Mathematics, Wiesbaden 2016 An Introduction to Functional Analysis Through Applications Date: September 23, 2016 (Friday) - September 29, 2016 (Thursday) Place: University of Applied Sciences, Wiesbaden, Germany The summer school is geared towards mathematics students in the final phase of their bachelor's studies, and the topic was chosen accordingly. The development of functional analysis at the beginning of the 20th century marks a change towards a more abstract approach to mathematics, which is also felt in neighboring areas such as point-set topology and integration theory and which is well motivated by applications in many areas both within mathematics (especially analysis) and outside (especially in physics). Such a change to a more abstract approach is also characteristic for the change from a bachelor's to a master's programme, and it is well worth motivating this change by emphasizing similar mathematical structures occurring in different application areas. The idea of the summer school is to motivate and lead up to the core ideas underlying functional analysis (dealing with coupled algebraic and topological structures) by typical examples and applications in analysis, physics, and financial mathematics. No previous knowledge of functional analysis is required. The lectures concern: * The Historical Development of Functional Analysis * From Linear Algebra and Calculus to Functional Analysis * Reproducing Kernel Hilbert Spaces * Kernel methods in Data Mining * Functional Analysis and Partial Differential Equations * Functional Analytic Foundations of Numerical Methods * Computer Workshop on Numerical Methods * Hilbert Space Methods in Quantum Mechanics * Martingales and Their Application in Mathematical Finance * Functional Analysis and Control Theory More details are presented at https://www.hs-rm.de/de/fachbereiche/architektur-und-bauingenieurwesen/studiengaenge/angewandte-mathematik-bsc/summer-school-wiesbaden-2016/ Contact Address Prof. Dr. Karlheinz Spindler University of Applied Sciences Applied Mathematics Kurt-Schumacher-Ring 18 D - 65197 Wiesbaden, Germany Karlheinz.Spindler@hs-rm.de ------ Subject: Researcher Position, Climate Simulation, Univ Kiel From: Thomas Slawig Date: July 21, 2016 The Research Group "Algorithmic Optimal Control - Oceanic CO---2 Uptake" in the Department of Computer Science at Kiel University (CAU), Germany, is offering a Researcher Position in Applied Mathematics starting as soon as possible and lasting for 31 months. The salary corresponds to 65 percent of a full position at the level of TV-L E13 of the German public service salary scale.. We are looking for a person with background in Applied Mathematics, specifically in the numerical solution of (parabolic) partial differential equations. The position is part of the research project "Strategies for parallelization in time and model order reduction" in the German national climate modeling initiative "From the Last Interglacial to the Anthropocene: Modeling a Complete Glacial Cycle (PalMod)". Topic is the implementation, adaptation and improvement of parallel-in- time (also called parareal) algorithms for long-term climate simulations. For this purpose, a fast model of lower complexity shall be coupled to a slower one with higher resolution (micro-macro parallel-in-time algorithm). The models are implemented in Fortran. Requirements are: Diploma or Master Degree in Mathematics (or related field with strong background in numerical mathematics) Good oral and written communication skills in English Good programming skills in. You will have the chance to get a deeper knowledge about climate modeling and simulation, and to apply your expertise in Mathematics and Computer Science to real-world problems. We offer the opportunity to contribute to an interdisciplinary research project. The University of Kiel is an equal opportunity employer, aiming to increase the proportion of women in science. Applications by women are particularly welcome. Given equal qualifications, applicants with severe disabilities will be given priority consideration. Applications by people with a migration background are particularly welcomed. Interested candidates should send an application letter including curriculum vitae, copies of transcripts, a copy of the diploma/master thesis and 1. a description of the "paraxial" method in algorithmic form 2. the source code of a function (in an arbitrary programming language) that solves an initial value problem for an arbitrarily given ordinary differential equation with a second order method via e-mail to: ts@informatik.uni-kiel.de Please refrain from submitting application photos. The deadline for applications is August 15st 2016. ------ Subject: Postdoc Position, Optimal Control of PDEs From: Thomas Russold Date: July 28, 2016 About the project: While the project addresses a broad spectrum in optimal control of PDEs, it also focusses on some of the most pressing topics: Non-smooth, non-convex optimal control and computational techniques for feedback control. Applications include the bidomain equations, which are the established model to describe the electrical activity of the heart. Professional qualifications: Doctoral degree in a mathematical branch of study. Solid knowledge in numerical analysis and in applied mathematics, including PDEs, with specialization in either analytical or computations techniques. Specialization in optimal control, calculus of variations, or optimization is very welcome. Contact person and grant holder: Prof. Karl Kunisch, University of Graz and Radon Institute, Austrian Academy of Sciences, E-mail: karl.kunisch@uni-graz.at Official starting date: January 1, 2016 Applications with a detailed CV including a publication list and a compact statement of past achievements and research interests should be sent to: thomas.russold@uni-graz.at. Application Deadline: will be announced ------ Subject: Doctoral Position, Mathematics, RWTH Aachen Univ From: Julia Schmitt-Holtermann Date: July 21, 2016 Applications are invited for a doctoral position in mathematics at RWTH Aachen University. The position is funded through the EU Marie-Sklodowska-Curie Innovative Training Network (ITN) ModCompShock (Modelling and Computation of Shocks and Interfaces). ModCompShock provides an international and highly visible framework covering a wide range of conceptual expertise. It focuses on the development of innovative mathematical methods and computational techniques in the general area of nonlinear hyperbolic and convection dominated partial differential equations; see http://modcompshock.eu for more information. The position will be for three years, at least three months of which are to be spent abroad at one of the partner universities or industry partners in the ITN. The doctoral researcher is hired under an employment contract and benefits from a monthly living allowance, social security cover, a mobility and family allowance. At the time of recruitment, the candidate must be in his/her first four years (full-time equivalent research experience) of his/her research career and not yet have been awarded a doctoral degree, and the researcher must not have resided or carried out his/her main activity (work, studies, etc.) in Germany for more than 12 months in the 3 years immediately prior to the reference date. Please check https://www.igpm.rwth-aachen.de/en/joboffers for additional information. ------ Subject: Contents, Physica D: Nonlinear Phenomena 332 From: ScienceDirect Message Center Date: Thu, 28 Jul 2016 04:43:20 -0400 * Physica D: Nonlinear Phenomena Volume 332, Pages 1-78, 1 October 2016 http://www.sciencedirect.com/science/journal/01672789/332 TABLE OF CONTENTS 1) A principle of similarity for nonlinear vibration absorbers Original Research Article, Pages 1-8 G. Habib, G. Kerschen 2) Mixed-Mode Oscillations in a piecewise linear system with multiple time scale coupling Original Research Article, Pages 9-22 S. Fernandez-Garcia, M. Krupa, F. Clement 3) Combustion waves in hydraulically resistant porous media in a special parameter regime Original Research Article, Pages 23-33 Anna Ghazaryan, Stephane Lafortune, Peter McLarnan 4) Entropy rates of low-significance bits sampled from chaotic physical systems Original Research Article, Pages 34-40 Ned J. Corron, Roy M. Cooper, Jonathan N. Blakely 5) Fractional Schrodinger dynamics and decoherence Original Research Article, Pages 41-54 Kay Kirkpatrick, Yanzhi Zhang 6) Resonance Van Hove singularities in wave kinetics Original Research Article, Pages 55-72 Yi-Kang Shi, Gregory L. Eyink 7) Generation of polarization singularities in the self-focusing of an elliptically polarized laser beam in an isotropic Kerr medium Original Research Article, Pages 73-78 N.A. Panov, V.A. Makarov, K.S. Grigoriev, M.S. Yatskevitch, O.G. Kosareva ------ Subject: Physica D: Nonlinear Phenomena 333 From: ScienceDirect Message Center Date: Fri, 22 Jul 2016 04:47:13 -0400 * Physica D: Nonlinear Phenomena Volume 333, Pages 1-336, 15 October 2016 Dispersive Hydrodynamics Edited by G. Biondini, G.A. El, M.A. Hoefer and P.D. Miller http://www.sciencedirect.com/science/journal/01672789/333 TABLE OF CONTENTS 1) Dispersive hydrodynamics: Preface Pages 1-5 G. Biondini, G.A. El, M.A. Hoefer, P.D. Miller 2) Modulation theory, dispersive shock waves and Gerald Beresford Whitham Original Research Article, Pages 6-10 A.A. Minzoni, Noel F. Smyth 3) Dispersive shock waves and modulation theory Original Research Article, Pages 11-65 G.A. El, M.A. Hoefer 4) On the generation of dispersive shock waves Original Research Article, Pages 66-83 Peter D. Miller 5) Dispersive shock waves in the Kadomtsev-Petviashvili and two dimensional Benjamin-Ono equations Original Research Article, Pages 84-98 Mark J. Ablowitz, Ali Demirci, Yi-Ping Ma 6) Whitham theory for perturbed Korteweg-de Vries equation Original Research Article, Pages 99-106 A.M. Kamchatnov 7) Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics Original Research Article, Pages 107-116 Daniel J. Ratliff, Thomas J. Bridges 8) Inverse scattering transform for the defocusing nonlinear Schrodinger equation with fully asymmetric non-zero boundary conditions Original Research Article, Pages 117-136 Gino Biondini, Emily Fagerstrom, Barbara Prinari 9) Small dispersion limit of the Korteweg-de Vries equation with periodic initial conditions and analytical description of the Zabusky-Kruskal experiment Original Research Article, Pages 137-147 Guo Deng, Gino Biondini, Stefano Trillo 10) Primitive potentials and bounded solutions of the KdV equation Original Research Article, Pages 148-156 S. Dyachenko, D. Zakharov, V. Zakharov 11) On critical behaviour in generalized Kadomtsev-Petviashvili equations Original Research Article, Pages 157-170 B. Dubrovin, T. Grava, C. Klein 12) Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert Problem approach Original Research Article, Pages 171-184 Alexander Tovbis, Gennady A. El 13) The scattering transform for the Benjamin-Ono equation in the small-dispersion limit Original Research Article, Pages 185-199 Peter D. Miller, Alfredo N. Wetzel 14) The propagation of internal undular bores over variable topography Original Research Article, Pages 200-207 R. Grimshaw, C. Yuan 15) Nonlinear ring waves in a two-layer fluid Original Research Article, Pages 208-221 Karima R. Khusnutdinova, Xizheng Zhang 16) Nonlinear disintegration of sine wave in the framework of the Gardner equation Original Research Article, Pages 222-234 Oxana Kurkina, Ekaterina Rouvinskaya, Tatiana Talipova, Andrey Kurkin, Efim Pelinovsky 17) Self-focusing dynamics of patches of ripples Original Research Article, Pages 235-242 P.A. Milewski, Z. Wang 18) Mechanical balance laws for fully nonlinear and weakly dispersive water waves Original Research Article, Pages 243-253 Henrik Kalisch, Zahra Khorsand, Dimitrios Mitsotakis 19) Traveling waves for a model of gravity-driven film flows in cylindrical domains Original Research Article, Pages 254-265 Roberto Camassa, Jeremy L. Marzuola, H. Reed Ogrosky, Nathan Vaughn 20) Interaction of solitons with long waves in a rotating fluid Original Research Article, Pages 266-275 L.A. Ostrovsky, Y.A. Stepanyants 21) Observation of dispersive shock waves developing from initial depressions in shallow water Original Research Article, Pages 276-284 S. Trillo, M. Klein, G.F. Clauss, M. Onorato 22) Sine-Gordon modulation solutions: Application to macroscopic non-lubricant friction Original Research Article, Pages 285-292 Naum I. Gershenzon, Gust Bambakidis, Thomas E. Skinner 23) Integrable extended van der Waals model Original Research Article, Pages 293-300 Francesco Giglio, Giulio Landolfi, Antonio Moro 24) Dispersive shock waves in nematic liquid crystals Original Research Article, Pages 301-309 Noel F. Smyth 25) Incoherent shock waves in long-range optical turbulence Original Research Article, Pages 310-322 G. Xu, J. Garnier, D. Faccio, S. Trillo, A. Picozzi 26) Nonlinear random optical waves: Integrable turbulence, rogue waves and intermittency Original Research Article, Pages 323-335 Stephane Randoux, Pierre Walczak, Miguel Onorato, Pierre Suret