J
Jean-Pierre Eckmann
Researcher at University of Geneva
Publications - 260
Citations - 20585
Jean-Pierre Eckmann is an academic researcher from University of Geneva. The author has contributed to research in topics: Bounded function & Dynamical systems theory. The author has an hindex of 51, co-authored 251 publications receiving 19325 citations. Previous affiliations of Jean-Pierre Eckmann include Weizmann Institute of Science & Institut des Hautes Études Scientifiques.
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Front solutions for the Ginzburg-Landau equation
TL;DR: In this article, the existence of front solutions for the Ginzburg-Landau equation was shown to exist when at least one of the q is in the Eckhaus-unstable domain.
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Non-Equilibrium Steady States for Networks of Oscillators.
TL;DR: In this article, the authors established the existence and uniqueness of the non-equilibrium steady state for chains of oscillators connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures, and showed that the system converges to it at an exponential rate.
Journal Article
Normal forms for parabolic partial differential equations
TL;DR: In this article, it was shown that despite the presence of resonances one can construct a partial normal form for perturbations of the Ginzburg-Landau equation, expressed in terms of singular integral operators whose behavior can be controlled in the appropriate function spaces.
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On the Geometry of Chemical Reaction Networks: Lyapunov Function and Large Deviations
TL;DR: The notion of spherical image of the reaction polytope allows to view the asymptotic behavior of the vector field describing the mass-action dynamics of chemical reactions as the result of an interaction between the faces of thispolytope in different dimensions.
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Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem
TL;DR: In this paper, the authors consider the Taylor-Couette problem in an infinitely extended cylindrical domain and present modulated front solutions which describe the spreading of the stable Taylor vortices into the region of the unstable Couette flow.