8:45 - 9:00 | Opening |
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9:00 - 10:00 |
Room 3 (D) Dynamics and Algorithms Chair: Eusebius Doedel John Guckenheimer Computing Periodic Orbits of Vector Fields |
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Coffee Break |
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Room 1 | Room 2 | Room 3 | |
10:30 - 11:30 |
(E) Industrial Applications Chair: Andreas Schuppert Albert Gilg Dynamic Systems in Electronics Industry |
(B) Hyperbolic Wave Equations Chair: Jürgen Ehlers Demetri Christodoulou The notion of hyperbolicity for Euler-Lagrange equations |
(E) Patterns Chair: Paul Fife Ray Goldstein The Viscous Nonlinear Dynamics of Twist and Writhe |
11:30 - 12:30 |
(B) Hysteresis Chair: Juergen Sprekels Augusto Visintin Partial differential equations with hysteresis operators |
(C) Order Preserving Dynamical Systems Chair: Mark Vishik Hiroshi Matano Order-preserving systems in the presence of symmetry |
(A) Celestial Mechanics Chair: Ken Meyer Rick Moeckel Horseshoes and the Problem of the Gaps |
Lunch Break |
Room 1 (B) Hyperbolic Wave Equations Chair: Frank Duzaar and Joseph Grotowski |
Room 2 (E) Semiconductors Chair: Herbert Gajewski |
Room 3 (E) Patterns Chair: Paul Fife |
Room 4 (A) Celestial Mechanics Chair: Ken Meyer |
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13:50 - 14:10 | Hajer Bahouri Quasilinear Wave Equation and Strichartz estimates |
Georg Schwarz Simulation of current filamentation in an extended drift diffusion model |
Felix Otto Spinodal decomposition in polymer solutions |
Gareth Roberts Existence and Stability of Relative Equilibria in the n-Body Problem |
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14:10 - 14:30 | Igor Brigadnov Mathematical analysis of electrostatics BVP for dielectrics in powerful electrical fields |
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14:30 - 14:50 | Alan Rendall Solutions of the Einstein equations with prescribed singularity structure |
Ansgar Jungel Rigorous derivation of a hierarchy of macroscopic models for semiconductors and plasmas |
Thomas Wanner Spinodal Decomposition for the Cahn-Hilliard Model |
Dieter Schmidt The Stability of the Thomson Heptagon in an Ideal Fluid |
14:50 - 15:10 | Igor Yu. Popov Asymptotics of bound states and resonances for coupled quantum waveguides |
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15:10 - 15:30 | Pedro Schirmer t.b.a. |
Ingenuin Gasser The Small Debye Lenght Limit in the Drift-Diffusion Model for Semiconductors |
Yasumasa Nishiura Complex Pulse Dynamics in nonlinear dissipative systems |
Alain Albouy Secular System in Souriau Variables |
15:30 - 15:50 | ||||
Room 5 (B) Lattice Dynamical Systems Chair: Shui-Nee Chow |
Room 6 (C) Global Attractors and Limits Chair: Jack K. Hale and Genevieve Raugel |
Room 7 (E) Industrial Applications Chair: Andreas Schuppert |
Room 8 (C) Qualitative Theory of Parabolic Equations Chair: Peter Polacik |
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13:50 - 14:10 | Peter Bates Pinning and propagation for waves for bistable lattice systems with long range interaction |
Claude Baesens Global attractor in overdamped dynamics of tilted Frenkel-Kontorova models |
Daniel Leineweber An Efficient Reduced SQP Strategy for Large-Scale Dynamic Process Optimization |
Marek Fila Connecting equilibria by blow-up solutions |
14:10 - 14:30 | Hartmut Schwetlick Limit sets for reaction transport equations |
Julia Matos Unfocused blow up in semilinear parabolic equations |
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14:30 - 14:50 | Song-Sun Lin Cellular Neural Networks: Patterns and Waves |
Jose Valero Global attractors of reaction-diffusion equations without uniqueness |
Andreas Schuppert Mathematics in industry - the balance between science and economy? |
Arnaldo Do Nascimento Formation of stable inner layers in diffusion equations: necessary and sufficient conditions. |
14:50 - 15:10 | Nikos Stavrakakis Asymptotic Behavior of some Nonlinear Dissipative Hyperbolic Equation on RN |
Yoshi Morita Collision of Layers in a Scalar Reaction-Diffusion Equation of 1-Space Dimension |
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15:10 - 15:30 | Shui-Nee Chow Traveling waves in coupled Chua's circuit |
Discussion | Mikhail Vishnevskii On the stabilization of bounded solutions to parabolic systems with analitic nonlinearity and Liapunov functionals |
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15:30 - 15:50 | Matthias Bueger Periodic orbits and attractors for autonomous reaction-diffusion systems |
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Room 9 (D) Control and Optimization Chair: Fritz Colonius |
Room 10 (A) Singular Perturbations Chair: Peter Szmolyan and David Terman |
Room 11 (E) Steady Water Waves Chair: Gerard Iooss |
Room 12 (E) Molecular Modelling Chair: Folkmar Bornemann |
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13:50 - 14:10 | Russell Johnson Twist maps and sliding-mode control |
Nils Berglund Bifurcations, scaling laws and hysteresis in singularly perturbed system |
Gerard Iooss Gravity and capillary-gravity waves for superposed fluid layers, one being deep |
Bastiaan Braams Electronic structure calculations via reduced density matrices and semidefinite programming |
14:10 - 14:30 | Adriana Bohé Exponential sensitivity in some singularly perturbed boundary value problems |
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14:30 - 14:50 | Lars Grüne Characterization and Computation of Reachable Sets via Optimal Control |
Igor Cherevko Integral Manifolds in the Theory of Singularly Perturbed Differential-Difference Equations |
Boris Buffoni Multiplicity of algebraically decaying solitary waves |
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14:50 - 15:10 | Emilia Fridman Invariant manifolds approach to optimal control of nonlinear singulalrly perturbed systems |
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15:10 - 15:30 | Fabian Wirth Controllability of Matrix Eigenvalue Algorithms |
Wim T. van Horssen A perturbation method based on integrating vectors |
Mark Groves Two- and three-dimensional steady gravity-capillary water waves via Hamiltonian spatial dynamics |
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15:30 - 15:50 | Markus Kunze Radiation Reaction and Center Manifolds |
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Room 13 (F) Delay Equations Chair: Sjoerd Verduyn Lunel |
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13:50 - 14:10 | Ahmed El-Sayed Nonlinear Retarded Functional Differential Equations of Arbitrary (Fractional) Orders |
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14:10 - 14:30 | Mustapha Yebdri Special slowly oscillating periodic solutions of a state dependent delay differential equation. |
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14:30 - 14:50 | ||||
14:50 - 15:10 | ||||
15:10 - 15:30 | ||||
15:30 - 15:50 |
15:50 - 16:20 | Coffee Break |
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Room 1 (B) Nonlinear Functional Analysis Chair: Hansjörg Kielhöfer and Jean Mawhin |
Room 2 (D) Dynamics and Algorithms Chair: Eusebius Doedel |
Room 3 (E) Patterns Chair: Paul Fife |
Room 4 (D) Exponentially Small Phenomena Chair: Carles Simó |
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16:20 - 16:40 | S. Maier-Paape Smooth Curves of Variational Solutions |
Johannes Schropp Ordinary differential equations, Differential-algebraic equations and their use in Optimization |
John Kessler Modelling bioconvection at low and high volume fractions of swimming bacteria |
Anatoly Neishtadt On the accuracy of adiabatic invariant conservation in one-frequency systems |
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16:40 - 17:00 | ||||
17:00 - 17:20 | Rafael Ortega Some results on the forced pendulum equation |
Cornelia Franke Numerical Investigation of Periodic Solutions of Multibody Systems |
Ehud Meron Spatio-Temporal Phase Patterns in Forced Oscillatory Systems |
Amadeu Delshams Singular separatrix splitting and Melnikov theory for nearly-integrable systems |
17:20 - 17:40 | ||||
17:40 - 18:00 | Hansjörg Kielhöfer Pattern Formation of the Stationary Cahn-Hilliard Model |
Koen Engelborghs Numerical bifurcation analysis of delay equations |
Hermann Riecke Localized waves: worms in electroconvection |
Vassili Gelfreich Exponentially small splitting of separatrices |
18:00 - 18:20 | ||||
18:20 - 18:40 | Klaus Böhmer Convergence .. for bifurcation numerics in real life |
Fred Feudel Lagrangian turbulence and the dynamo effect in Magnetohydrodynamics |
Karsten Matthies Time averaging of parabolic partial differential equations: exponential estimates |
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18:40 - 19:00 | Norbert Seehafer Patterns in an electrically driven conducting fluid layer |
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Room 5 (B) Delay Equations Chair: Sjoerd Verduyn Lunel and Hans-Otto Walther |
Room 6 (B) Variational Methods Chair: Mariano Giaquinta |
Room 7 (E) Industrial Applications Chair: Andreas Schuppert |
Room 8 (C) Qualitative Theory of Parabolic Equations Chair: Peter Polacik |
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16:20 - 16:40 | Jianhong Wu Synchronization and Phase-locked Oscillations in Delayed Neural Networks: Connecting Orbits and Basins of Attraction |
Mohamed Bouchekif On certain quasilinear elliptic equations with indefinite terms. |
Thomas Hagen On the non-isothermal formation of polymeric fibers |
Norbert Koksch Inertial Manifolds and a Modified Strong Squeezing Property |
16:40 - 17:00 | Muvasharkhan Dzhenaliev The Loaded Differential Equations and their Applications |
Jianmin Wang An application of differential equations to simulation |
Henryk Leszczynski Banach contraction principle in parabolic problems |
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17:00 - 17:20 | Anatolij Myshkis Initial value problems for mixed functional differential equations |
Meyramkul Dzhenalieva On the Heat Equation with Integral Mean-Values |
My Mustapha Charafi Two-dimensional modelling of pollutant transport in a shallow basin |
Jana Stara Existence of smooth solutions for a class of Non-Newtonian fluids in two space dimensions |
17:20 - 17:40 | Bronislaw Florkiewicz Integral Inequalities Associated with Inequalities of Opial Type |
Laszlo Losonczi Equality of two variable means: reduction to differential equations |
Vladimir Grebenev On a class of selfsimilar solutions of a third-order model for the shearless turbulence mixing layer |
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17:40 - 18:00 | John Mallet-Paret The Global Dynamics of Cyclic Feedback Systems with Delay |
Sarka Necasova Non-Newtonian fluids |
Pierre Fabrie Recent results in micromagnetism |
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18:00 - 18:20 | Jiri Jarusek Recent results about existence of solutions to dynamic contact problems with Coulomb frictionlum |
Anton Arnold Log. Sobolev inequalities and the rate of convergence to equilibrium for parabolic equations of Fokker-Planck type |
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18:20 - 18:40 | Bernhard Lani-Wayda Chaotic motion in delay equations |
Katarzyna Wojteczek Some general quadratic integral inequalities of second order. |
Ilya V. Boikov The stability of solutions of differential equations |
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18:40 - 19:00 | Alexander V. Ivanov The obstacle problem for elliptic - parabolic equations |
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Room 9 (B) Hysteresis Chair: Juergen Sprekels |
Room 10 (A) Singular Perturbations Chair: Peter Szmolyan and David Terman |
Room 11 (E) Mechanics Chair: Jerry Marsden and Juergen Scheurle |
Room 12 (A) Celestial Mechanics Chair: Ken Meyer |
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16:20 - 16:40 | Jan Francu Homogenization of Scalar Wave Equation with Hysteresis Operator |
Oleksandr E. Zernov On the asymptotic behaviour of solutions of singular initial value problems |
Maria Letizia Bertotti On the influence of the kinetic energy on the stability of equilibria of natural Lagrangian systems |
Stefanella Boatto Barriers to transport in point-vortex dynamics |
16:40 - 17:00 | Valery A. Gaiko Limit Cycles of Polynomial Dynamical Systems |
Dmytro D. Leshchenko Evolution of rotations of a rigid body under the action of a perturbed momentum |
Rifkat Bogdanov Positive solution of the 2-nd part of 16-th Hilbert's problem |
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17:00 - 17:20 | Pavel Krejci Hysteresis operators in modeling of phase transitions |
A. Raouf Chouikha The period function of non homogeneous differential equations |
Hans Troger On the Stability of Relative Equilibria of Tethetered Satellite Systems |
Pitu Cors Periodic solutions of the spatial elliptic restricted 3-body problem. |
17:20 - 17:40 | Serguei Frolovitchev Multiplicative solution asymptotics for singularly perturbed parabolic boundary value problems. |
Mir Abbas Jalali 2n Pi Periodic Solutions of the Sitnikov Problem |
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17:40 - 18:00 | Wolfgang Desch Elastic contact problems and the Stop operator |
Yuri Golovaty On WKB asymptotic expansion of high frequency proper vibrations in stiff problems. |
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18:00 - 18:20 | ||||
18:20 - 18:40 | Martin Brokate Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities |
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18:40 - 19:00 | ||||
Room 13 (B) Hyperbolic Wave Equations Chair: Frank Duzaar and Joseph Grotowski |
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16:20 - 16:40 | Alexander Komech On the Attractors of Hamiltonian Nonlinear Wave Equations |
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16:40 - 17:00 | David Stuart Semilinear wave equations on pseudo-Riemannian manifolds: stability and motion of nontopological solitons. |
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17:00 - 17:20 | Frank Jochmann Asymptotic behaviour of solutions to a class of semilinear hyperbolic systems |
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17:20 - 17:40 | Jorge Esquivel-Avila Bounded solutions and blow-up in nonlinear wave equations |
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17:40 - 18:00 | Volodymyr Sushch On discrete models of the wave equation |
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18:00 - 18:20 | Yuncheng You Global dynamics of nonlinear hyperbolic equations |
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18:20 - 18:40 | ||||
18:40 - 19:00 |
19:00 - 21:00 | Poster Session |
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Index | Sunday, Aug 01, 1999 - Arrival Day | Tuesday, Aug 03, 1999 |
equadiff@math.fu-berlin.de Aug 06 1999