Prague, August 26 – 30, 2013

MS1 – Methods of nonlinear analysis in the theory of differential inclusions and control theory Organized by Valeri Obukhovskii Vladimir Goncharov: Exposed solutions of differential inclusions Valeri Obukhovskii: On applications of the method of guiding functions in some problems of differential inclusions and control systems Paola Rubbioni: Multivalued fixed point theorems in Banach spaces Valentina Taddei: Semilinear evolution equations without strong compactness: solvability and controllability

MS2 – Critical point theory and applications to nonlinear differential problem Organized by Gabriele Bonanno Giuseppina Barletta: Sign-changing solutions for quasilinear elliptic equations with Neumann boundary conditions Gabriele Bonanno: Dirichlet problems with critical growth via a local minimum theorem Pasquale Candito: Existence and multiplicity results for parameter-depending quasilinear elliptic equations Salvatore Angelo Marano: Non-smooth critical point theory on closed convex sets

MS3 – Qualitative theory of quasilinear differential equations Organized by Ondřej Došlý Ondřej Došlý: Recent trends in the half-linear oscillation theory John R. Graef: Oscillation criteria for second-order functional dynamic equations on time-scales Serena Matucci: Existence of globally positive and bounded solutions for second order equations with changing sign weight Jitsuro Sugie: Asymptotic stability of an underwater pendulum with quadratic damping

MS4 – Variational Methods for Quasilinear Elliptic Problems Organized by Peter Takáč Jesús Hernández Alonso: Positive solutions to a nonlinear nonlocal elliptic system arising in desertification Stephen B. Robinson: On the solvability of resonance problems with respect to the Fucik Spectrum Andrzej Szulkin: On a quasilinear Schrödinger equation Peter Takáč: On travelling waves in nonlinear diffusion models

MS5 – Geometrical aspects of spectral theory Organized by David Krejčiřík José M. Arrieta: High order selfadjoint operators and domain perturbation Yehuda Pinchover: Optimal Hardy-type inequalities and the spectrum of the corresponding operator Matěj Tušek: The magnetic Laplacian in shrinking tubular neighbourhoods of hypersurfaces Timo Weidl: Spectral estimates of the magnetic Dirichlet Laplacian in domains

MS6 – Differential equations with singularities and impulses Organized by Irena Rachůnková José Ángel Cid: Periodic oscillations in a singular equation modelling valveless pumping Ivan Kiguradze: Positive solutions of two-point boundary value problems for higher order nonlinear differential equations Irena Rachůnková: Boundary value problems with state-dependent impulses Mirosława Zima: Positive solutions of periodic boundary value problem at resonance

MS7 – Analysis and numerical methods in nonlinear solid mechanics Organized by Gerhard Starke Piotr Minakowski: Plasticity of crystalline solids treated as material flow through adjustable crystal lattice Benjamin Müller: LSFEM for geometrically and physically nonlinear elasticity problems Patrizio Neff: Extending Korn’s first inequality to incompatible tensor fields Gerhard Starke: First-order system finite elements for nonlinear models in solid mechanics

MS8 – Recent Trends in Nonlinear Boundary Value Problems Organized by Alberto Cabada Alberto Cabada: Existence results for equations with reflection Antonio Iannizzotto: On a problem of Huang concerning best constants in Sobolev embeddings Gennaro Infante: New criteria for the existence of multiple solutions in cones Stepan A. Tersian: On homoclinic solutions of semilinear \(p\)-Laplacian difference equations

MS9 – Geometric aspects of elliptic PDEs and related inequalities Organized by Andrea Cianchi Andrea Cianchi: Sharp constants in Sobolev trace inequalities in BV Wolfgang Reichel: A stability result for an overdetermined problem in potential theory Julio Daniel Rossi: Discontinuous gradient constraints and the infinity Laplacian Cyril Tintarev: Concentration profiles for Moser-Trudinger functional are shaped like toy pyramids

MS10 – Quantum dynamics on graphs Organized by Pavel Exner Gregory Berkolaiko: Nodal count of graph eigenfunctions as an index of instability Claudio Cacciapuoti: Nonlinear Schrödinger equation on graphs Pavel Exner: Resonances in quantum graphs Olaf Post: Shrinking fat graphs and convergence of operators and spectra

MS11 – Qualitative Theory of Nonlinear Elliptic and Parabolic Equations Organized by Kazuhiro Ishige Chiun-Chuan Chen: A Simple PDE model of spot replication Kazuhiro Ishige: Parabolic power concavity and parabolic boundary value problems Michinori Ishiwata: On the scale-invariant critical Hardy’s inequality and related variational problems Michael Winkler: Finite-time blow-up in parabolic Keller-Segel systems

MS12 – Functional Differential Equations Organized by Alexander Domoshnitsky Alexander Domoshnitsky: Maximum principles for functional differential equations with ordinary or partial derivatives and nonlocal boundary conditions Sergey Labovskiy: On discreteness of spectrum of a functional-differential operator on axis Zdeněk Opluštil: Some oscillation criteria for the second-order linear delayed differential equation László Simon: Second order quasilinear functional equations

MS13 – Coupled variants of the Cahn-Hilliard equation Organized by Elisabetta Rocca Günther Grün: On convergent numerical schemes for two-phase flow of incompressible fluids with different mass densities Alain Miranville: Some generalizations of the Cahn-Hilliard equation Elisabetta Rocca: A nonlocal model H with nonconstant mobility Giulio Schimperna: A nonisothermal model for two-phase fluids

MS14 – Analysis and simulations of fluid-structure interaction Organized by Mária Lukáčová-Medviďová Suncica Canic: Fluid-structure interaction with multiple structural layers Céline Grandmont: Existence and collision results for some fluid-elastic coupling Mária Lukáčová-Medviďová: Kinematic splitting algorithm for fluid-structure interaction in hemodynamics Šárka Nečasová: On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid

MS15 – Thin poroelastic media and applications Organized by Anna Marciniak-Czochra and Andro Mikelić Suncica Canic: Regularizing effects of a thin elastic interface with mass in fluid-multi-layered structure interaction problems Andro Mikelić: A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate Šárka Nečasová: Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid Eduard Rohan: Homogenization in vibro-acoustic problems involving perforated plates

MS16 – Hamiltonian wave equations Organized by Gerald Teschl Mats Ehrnstrom: On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type Tamara Grava: Hamiltonian PDEs and dispersive shock waves Helge Holden: A closer look at conservative and dissipative solutions for the Camassa-Holm equation Gerald Teschl: On the long-time asymptotics for the dispersionless Camassa-Holm equation

MS17 – Weak solutions to the Navier-Stokes equations and their regularity Organized by Reinhard Farwig Reinhard Farwig: Optimal initial values and regularity conditions of Besov space type for weak solutions to the Navier-Stokes system Jiří Neustupa: Some recent results on regularity of weak solutions to the Navier-Stokes equations Witold Sadowski: Stability of local existence and numerical verification of regularity in 3D Navier-Stokes equations Joerg Wolf: On the local pressure and local regularity for suitable weak solutions to the Navier-Stokes equations and related systems

MS18 – Degeneration and singularity Organized by Piotr Bogusław Mucha Patrick Guidotti: Well-posedness for a quasi-stationary droplet model Julio Daniel Rossi: Mass transport problems for the Euclidean distance obtained as limits of \(p\)-Laplacian type problems with obstacles Piotr Rybka: Examples of singular diffusion equations in one and two dimension: facets and more Ewelina Zatorska: Chemically reacting mixtures in terms of degenerated parabolic setting

MS19 – Topological Methods in Differential Equations Organized by Luisa Malaguti Jan Andres: Limit-periodic solutions of differential and difference equations Grzegorz Gabor: Structure of the solution sets to impulsive differential inclusions Luisa Malaguti: Topological methods for semi-linear evolution equations in abstract spaces Martin Väth: Instability of a reaction-diffusion system with unilateral obstacles

MS20 – Slow-fast and hysteretic models of population dynamics Organized by Dmitrii Rachinskii Pavel Gurevich: Reaction-diffusion systems with spatially distributed relays Alexander Pimenov: Modelling permanent effects of a temporary stimulus (PETS) in predator-prey and SIR systems Dmitrii Rachinskii: Memory in switching two-phenotype populations Vincenzo Recupero: BV solutions of rate independent differential inclusions

MS21 – Recent trends in PDE-constrained control and shape design Organized by Dietmar Hömberg Dietmar Hömberg: An optimal shape design approach towards distortion compensation Antoine Laurain: Shape optimization of the ground state for two phase conductors Christian Meyer: Optimal control of static elastoplasticity with hardening Andrzej Myśliński: Hybrid level set phase field method in shape optimization

MS22 – Asymptotic Behavior of Functional Differential Equations Organized by Mihály Pituk Jan Čermák: Stability and asymptotic properties of neutral delay differential equations Rafael Obaya: Almost periodic and almost automorphic dynamics for non autonomous functional differential equations Mihály Pituk: Asymptotic behavior of functional differential equations Gergely Röst: Global dynamics for spatial epidemic and population models in patchy environment with delays

MS23 – Hyperbolic conservation laws Organized by Piotr Gwiazda Boris Andreianov: Degenerate parabolic problems with discontinuous flux Piotr Gwiazda: Hyperbolic conservation laws: classical results and new perspectives Agnieszka Świerczewska-Gwiazda: Multi-dimensional scalar conservation laws with fluxes discontinuous in the unknown and the spatial variable Petra Wittbold: Hyperbolic conservation laws with multiplicative stochastic perturbation

MS24 – Structure-preserving numerical schemes and related topics Organized by Shigetoshi Yazaki Michal Beneš: Numerical solution of constrained mean curvature flow Daisuke Furihata: An attempt to create fast numerical schemes with the discrete variational derivative method Brynjulf Owren: Geometric properties of Kahan’s method Shigetoshi Yazaki: On a structure-preserving numerical scheme for moving boundary problems

MS25 – Selected Navier-Stokes Problems Organized by Reimund Rautmann Konstantin Pileckas: Solution of Leray’s problem for stationary Navier-Stokes equations in plane domains Reimund Rautmann: Bounds to the change of vorticity by transition from slip- to no-slip fluid flow Mindaugas Skujus: On the correct asymptotic conditions at infinity for the time-periodic Stokes problem set in a system of semi-infinite pipes Werner Varnhorn: Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains

MS26 – Large time behavior of solutions to nonlinear and nonlocal problems Organized by Grzegorz Karch Piotr Biler: Blowup and self-similar solutions for two component drift-diffusion systems Jan Cholewa: Cahn-Hilliard equation in \(H^1(R^N)\) Dominika Pilarczyk: \(L^2\)-asymptotic stability of mild solutions to Navier-Stokes system Anna Pudełko: Asymptotic behavior of some nonlocal convection-diffusion equations

MS27 – Recent Results in Continuum and Fracture Mechanics Organized by Werner Varnhorn Christian Heinemann: Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes Maria Specovius-Neugebauer: The energy criterion in quasistatic crack propagation: some special aspects Martin Steigemann: Change of energy caused by crack propagation in 3-dimensional anisotropic solids Florian Zanger: Uniqueness of solutions of fully implicit nonlinear difference schemes

MS28 – Fourier analysis and compressible Navier-Stokes equations Organized by Raphaël Danchin Frédéric Charve: Convergence of capillary fluid models: from the non-local to the local Korteweg system Raphaël Danchin: A survey on Fourier analysis methods for compressible flows Boris Haspot: Existence of global strong solution for Korteweg system with large infinite energy initial data Xian Liao: On the well-posedness of the low Mach number limit system

MS29 – Partial Differential Equations in Fluid Mechanics Organized by Antonín Novotný Nikolai V. Chemetov: The motion of the rigid body with collisions in a bounded domain. Global solvability result Taoufik Hmidi: On the rotating patches for inviscid flows Hari Shankar Mahato: Homogenization of a system of multi-species semilinear diffusion-reaction equations in an \(H^{1,p}\) setting Antonín Novotný: On the Euler-Boussinesq asymptotics of the Navier-Stokes-Fourier system

MS30 – Long term behavior of difference equations and systems of difference equations Organized by Stevo Stević Jaromír Baštinec: Sufficient conditions for existence of a positive solution of discrete equations of \((k+1)\)-st order Josef Diblík: Ważewski’s method for discrete equations Stevo Stević: Long term behavior of positive solutions of some classes of difference equations and systems of difference equations Zdeněk Svoboda: Positive solutions of \(p\)-type retarded functional differential equations

MS31 – Recurrence and stability of nonlinear models arising in the applied sciences Organized by Pedro J. Torres Jifeng Chu: A nonuniform dichotomies with different growth rates Alessandro Margheri: Some analytical results about periodic orbits in the restricted three body problem with dissipation Carlota Rebelo: Some results about epidemiological models Pedro J. Torres: Periodic solutions of a fluid particle induced by a prescribed vortex path in a circular domain

Students’ Minisymposium – Differential Equations and Their Applications Organized by Jan Pospíšil Radim Hošek: From generalization of bistable equation to Fibonacci sequence Pavel Jirásek: Compactness conditions for \(p\)-Laplacian Lukáš Kotrla: Differentiability properties of \(p\)-trigonometric functions Iveta Looseová: The asymptotes of Fučík curves for asymmetric difference operator Milan Mrázek: Calibration and simulation of Heston stochastic volatility model Martin Rohleder: Existence of oscillatory solutions of nonlinear singular ODE Tomáš Sobotka: Implementation of fractional stochastic volatility model Jana Vampolová: Singular second order ODE with regularly varying coefficients Jonáš Volek: Transport equation on semidiscrete domains