Thursday, Aug 05, 1999

	Coffee Break
9:00 - 10:00	Room 3 (E) Mechanics Chair: Juergen Scheurle Jerry Marsden Dynamical Systems, the Three Body Problem, and Space Mission Design
	Room 1	Room 2	Room 3
10:30 - 11:30	(E) Chemistry Chair: Yannis Kevrekidis Alexander Mikhailov New Chemistry and Mathematics	(B) Hyperbolic Conservation Laws Chair: Gerald Warnecke Tai-Ping Liu Recent Progresses in Shock wave Theory	(E) Unsteady Hydrodynamic Waves Chair: John Toland Tom Beale Boundary Integral Methods for Water Waves
11:30 - 12:30	(D) Numerics of Dynamics Chair: Michael Dellnitz Tim Sauer Shadowability of Chaotic Dynamical Systems	(E) Chemotaxis, Cross-Diffusion, and Blow-Up Chair: Angela Stevens Juan Velazquez On some mechanisms of chemotaxis aggregation and related supercritical blow-up phenomena	(A) Stochastic Systems Chair: Ludwig Arnold Hans Crauel White noise eliminates instability
	Lunch Break

	Room 1 (A) Topological Methods and Conley Index Chair: Konstantin Mischaikow and Marian Mrozek	Room 2 (A) Homoclinic Tangencies Chair: Ale Jan Homburg and Floris Takens	Room 3 (A) Symmetry Chair: Mike Field and Marty Golubitsky	Room 4 (E) Mechanics Chair: Jerry Marsden and Juergen Scheurle
13:50 - 14:10	Hiroshi Kokubu On transition matrices	Lev Lerman On the structure and bifurcations in a generic unfolding of a 2 d.o.f. Hamiltonian system with the contour with two saddle-foci	Peter Ashwin Drifts for euclidean extensions of dynamical systems	Genevieve Raugel Euler equations on thin 3D domains
14:10 - 14:30	Hiroshi Kokubu On transition matrices	Mohamed Houssni Control of chaos in averaged quasi-periodically excited system		Genevieve Raugel Euler equations on thin 3D domains
14:30 - 14:50	Bernhard Lani-Wayda An infinite-dimensional version of the horseshoe theorem	Mohamed Belhaq Bifurcations in three-dimensional systems: Asymptotic treatment	Victor LeBlanc Translational Symmetry-Breaking for Meandering Spirals	Tudor Ratiu Symmetric Hamiltonian Systems
14:50 - 15:10		Sergey Gonchenko Homoclinic tangencies and omega-moduli		Tudor Ratiu Symmetric Hamiltonian Systems
15:10 - 15:30	Rob VanderVorst Periodic orbits for fourth-order conservative systems and a Morse type theory		Claudia Wulff Bifurcations from relative periodic solutions	Juan-Pablo Ortega Singular relative normal modes for nonlinear Hamiltonian systems
15:30 - 15:50
	Room 5 (B) Hyperbolic Conservation Laws Chair: Tai-Ping Liu and Gerald Warnecke	Room 6 (B) Variational Methods Chair: Mariano Giaquinta	Room 7 (C) Stability of Fronts and Pulses Chair: Björn Sandstede	Room 8 (A) Stochastic Systems Chair: Ludwig Arnold and Peter Kloeden
13:50 - 14:10	Benedetto Piccoli Nonclassical shocks for conservation laws	Norimichi Hirano Multiple existence of solutions for semilinear elliptic problems	Arjen Doelman The stability of large pulse solutions	Michael Scheutzow On the rate of dispersion of stochastic flows
14:10 - 14:30		Bernd Kawohl The shape of functions yielding best constants in Sobolev-type inequalities	Arjen Doelman The stability of large pulse solutions
14:30 - 14:50	Tong Yang Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum	Ernst Kuwert Gradient Flow for Willmore Surfaces	Tasso Kaper Modulated two-pulse solutions and pulse splitting	Xuerong Mao Lyapunov's second method for stochastic differential equations
14:50 - 15:10		Takeyuki Nagasawa Closed surfaces minimizing the bending energy under prescribed area and volume
15:10 - 15:30	Shih-Hsien Yu Discrete Shock Waves and Small Divisors	Carlo Sinestrari Convexity estimates for mean curvature flow of mean convex surfaces	Arnd Scheel Essential instabilities of travelling waves	Matthias Gundlach Random homoclinic dynamics
15:30 - 15:50	Shih-Hsien Yu Discrete Shock Waves and Small Divisors	Nikolaos Zographopoulos Bifurcation Results for a Class of Quasilinear Elliptic Systems	Arnd Scheel Essential instabilities of travelling waves	Matthias Gundlach Random homoclinic dynamics
	Room 9 (C) Order Preserving Dynamical Systems Chair: Hiroshi Matano	Room 10 (E) Chemotaxis, Cross-Diffusion, and Blow-Up Chair: Angela Stevens	Room 11 (E) Unsteady Hydrodynamic Waves Chair: John Toland	Room 12 (E) Patterns Chair: Paul Fife
13:50 - 14:10	Igor Chueshov Order-preserving random dynamical systems	L. M. Abia Numerical Blow-Up Time Convergence for Discretizations of Reaction-Diffusion Equations	Pavel Plotnikov Nash-Moser Theory for Standing Water Waves	Milan Kucera Spatial patterns for reaction-diffusion systems with nonstandard boundary conditions
14:10 - 14:30	Igor Chueshov Order-preserving random dynamical systems	Dirk Horstmann Some blowup-results for the so-called Keller-Segel model		Jan Eisner Bifurcation of reaction-diffusion systems with nonstandard boundary conditions
14:30 - 14:50	Janusz Mierczynski Principal spectrum for nonautonomous linear parabolic PDEs	Mary Pugh Long-wave unstable thin film equations --- blow-up and steady-states	Sijue Wu Well-posedness in Sobolev spaces of the full water wave problem	Nikolay Nefedov Asymptotics, existence and stability of solutions with internal layers of fast and slow elliptic systems
14:50 - 15:10				Eckehard Schöll Stabilizing unstable periodic orbits in reaction diffusion systems by global time-delayed feedback control
15:10 - 15:30	Peter Polacik Stable subharmonic solutions of reaction-diffusion equations		Vsevolod Solonnikov Justification of quasistationary approximation in the problem of evolution of a viscous capillary drop	Dirk Bloemker Spinodal decomposition for the stochastic Cahn-Hilliard equation
15:30 - 15:50				Alexander Nepomnyashchy Convective Cahn-Hilliard models for kinetically controlled crystal growth
	Room 13 (F) Partial Differential Equations Chair: Konrad Gröger
13:50 - 14:10	S. Ebenfeld L²-Regularity Theory for Linear Strongly Elliptic Dirichlet Systems of Order 2m with Minimal Regularity in the Coefficients
14:10 - 14:30	Igor Andrianov Problem of small dominators in the theory of continuous systems nonlinear oscillations
14:30 - 14:50	Dimitri Georgievskii Boundary Elasticity Problems for Octants
14:50 - 15:10	Tadie Monotonicity and Boundedness Atomic Radius in the Thomas-Fermi Theory
15:10 - 15:30	Hakki Ismail Erdogan On the integrability of the Pfaffian equation concerning the octahedral web formed by four pencils of spheres
15:30 - 15:50	Tetyana V. Meleshko Local analysis of implicit Cauchy problems: solvability, number of solutions and asymptotics

15:50 - 16:20	Coffee Break

16:40 - 17:00		Ulrike Feudel Complex dynamics in multistable systems
	Room 1 (B) Large Domains Chair: Alexander Mielke and Guido Schneider	Room 2 (D) Numerics of Dynamics Chair: Tim Sauer	Room 3 (E) Chemotaxis, Cross-Diffusion, and Blow-Up Chair: Angela Stevens	Room 4 (D) Geometric Integrators Chair: Jerry Marsden
16:20 - 16:40	Jean-Pierre Eckmann Dimension and Entropy for parabolic PDE's in Infinite Domains	Ulrike Feudel Complex dynamics in multistable systems	Klaus Zacharias On a reaction-diffusion system modelling chemotaxis	Steve Shkoller Multisymplectic geometry and variational integrators
17:00 - 17:20	Hannes Uecker Rolls and Modulating Pulses in the Swift-Hohenberg equation	Michael Dellnitz The Computation of Lyapunov Exponents via Spatial Integration	Thomas Hillen Hyperbolic models for chemotaxis	Sebastian Reich Making Waves: Multi-Symplectic Methods for Hamiltonian PDEs
17:20 - 17:40			Thomas Hillen Hyperbolic models for chemotaxis
17:40 - 18:00	Bruno Scarpellini Loss of stability in the magnetic Benard problem	Tim Sauer Spurious Lyapunov exponents from time series	Takasi Senba Behavior of solutions to a system related to chemotaxis	Robert McLachlan Symmetry, Pseudospectral methods, and Conservative PDEs
18:00 - 18:20		Tim Sauer Spurious Lyapunov exponents from time series
18:20 - 18:40	Sinisa Slijepcevic Energy flow in extended gradient systems	Wolf-Jürgen Beyn Numerical exploration of homoclinic dynamics	Brian Sleeman Systems of Reaction Diffusion equations modelling Chemotaxis and Angiogenesis	Sergey Pekarsky Symmetry Reduction of Discrete Lagrangian Mechanics on Lie groups
18:40 - 19:00
	Room 5 (B) Hyperbolic Conservation Laws Chair: Tai-Ping Liu and Gerald Warnecke	Room 6 (B) Geometric Dynamics Chair: Hiroshi Matano	Room 7 (C) Qualitative Theory of Parabolic Equations Chair: Peter Polacik	Room 8 (E) Chemistry Chair: Yannis Kevrekidis
16:20 - 16:40	Denis Serre Stability of viscous and inviscid shock waves		Peter Bates Invariant Manifolds and Foliations for PDE's
16:40 - 17:00
17:00 - 17:20	Hailiang Liu Convergence Rates for Relaxation Methods Approximating Conservation Laws	Arthur Fischer The Einstein Flow, the Sigma-constant, and Geometrization of Three-manifolds	Eiji Yanagida Reaction-Diffusion Systems with Skew-Gradient Structure	Milan Kubicek Continuation of Waves in Reaction-Diffusion-Convection Systems via Heteroclinic and Homoclinic Orbits
17:20 - 17:40		Daniel Sevcovic Nonlinear curvature driven evolution of plane curves		Sybille Handrock-Meyer Kinetic scheme reduction in first order differential equation models
17:40 - 18:00	Jörg Härterich Admissibility of traveling waves in scalar balance laws		Carlos Rocha On the gradient structure of the FitzHugh-Nagumo system	Ilya Gorenko The Mathemetical Model for The Combined Oxydational Treatment of Water with Phosphorus-Organical Pesticidic Contaminants
18:00 - 18:20	Stefan Liebscher Shocks with oscillatory tails in systems of viscous hyperbolic balance laws			P.B. Dubovski Existence and mass conservation for the coagulation-fragmentation equation
18:20 - 18:40	Heinrich Freistühler Stability and instability of certain classical and certain non-classical shock waves		Kris Rybakowski Reaction-diffusion equations on thin domains
18:40 - 19:00
	Room 9 (A) Symmetry Chair: Mike Field and Marty Golubitsky	Room 10 (B) Lattice Dynamical Systems Chair: Shui-Nee Chow	Room 11 (B) Viscosity Solutions Chair: Neil Trudinger	Room 12 (B) Microstructure Chair: Stefan Müller
16:20 - 16:40	Andre Vanderbauwhede On symmetry reduction in reversible and Hamiltonian systems.	Jong-Shenq Guo Travelling Wave Solutions for some Quasilinear Parabolic Equations	Nikolai Kutev Gradient estimates, interior gradient blow ups and comparison principle of nonlinear pde's	Alexandre Egorov Quasiconvexity Conditions and Stability of Classes of Lipschitz Mappings
16:40 - 17:00	M.Cristina Ciocci On the stability of bifurcating periodic points in reversible and symplectic mappings	Andreas Seib Differential equations describing evolution of densitiesin particle systems	Alessandra Cutri' On the Liouville property for viscosity solutions of fully nonlinear elliptic problems	Taras Mel'nyk Spectral problems in a periodic thick multy-structure with concentrated masses
17:00 - 17:20	David Chillingworth Generic bifurcation from a 2-manifold	Chih-Wen Shih Complete stability for a class of lattice dynamical systems	Francesca Da Lio Propagation of Maxima and Strong Maximum Principle for Fully Nonlinear Degenerate Elliptic Equations	Mikhail Sychev Existence and relaxation results in the class of anti-plane shear deformations
17:20 - 17:40	David Wood Symmetries and Mode Interactions in the Optimisation of Hydrophone Placement in Acoustic Arrays	Pedro J. Torres Periodic motions of non-autonomous Toda lattices	Pierpaolo Soravia Some results on first order Hamilton-Jacobi equations with discontinuous coefficients	Anca-Maria Toader Constrained Young measures
17:40 - 18:00	Tim Callahan Hopf bifurcations on the FCC lattice		Maciej Kocan Lyapunov functions for infinite-dimensional systems	Cristian Barbarosie Numerical approach to the inverse homogenization problem
18:00 - 18:20	Marco Teixeira Hopf-zero bifurcations of reversible vector fields		Maria Alessandra Ragusa Solvability of the Dirichet problem in $H^{1,p,\lambda}_0(\Omega)$ for a class of linear second order elliptic partial differential equations
18:20 - 18:40	Lutz Recke Applications of a new G-Invariant Implicit Function Theorem		Monica Motta The minimum time function for control systems with controls in L^p
18:40 - 19:00
	Room 13 (F) Ordinary Differential Equations Chair: Klaus Schneider
16:20 - 16:40	Yahya Tabesh On the Lienard Equation- Uniqueness
16:40 - 17:00	Andrejs Reinfelds Decoupling of impulsive differential equations
17:00 - 17:20	Dmitri Balashov Investigation of Resonances Using Higher Order Normal Forms
17:20 - 17:40	D. Shadman On the Periodic Solutions of An Autonomous Fifth Order Ordinary Differential Equation
17:40 - 18:00	Katalin Balla On n-dimensional Riccati extended forms
18:00 - 18:20	B. Mehri Existence of Periodic Solutions for Certain Nonlinear Autonomous Differential equation
18:20 - 18:40	Djellit Ilhem Realization of an isoordinal cascade for a cubic map
18:40 - 19:00	Rafael Ramirez Inostroza The Dainelli-Suslov's problem

20:30	Conference Dinner

Index

Wednesday, Aug 04, 1999

Friday, Aug 06, 1999

equadiff@math.fu-berlin.de Aug 06 1999