1 citations · 2 across the 6 of their papers we have counts for
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Energetic Derivation and Geometric Reduction of Reaction-Diffusion Systems with Holling-Type Functional Responses
Jan-Eric Sulzbach
This paper presents an energetic derivation of a class of multi-species reaction-diffusion systems incorporating various functional responses, with a focus on and application to ec…
Approximate Slow Manifolds in the Fokker-Planck Equation
Christian Kuehn, Jan-Eric Sulzbach
In this paper we study the dynamics of a fast-slow Fokker-Planck partial differential equation (PDE) viewed as the evolution equation for the density of a multiscale planar stochas…
Slow Manifolds for PDE with Fast Reactions and Small Cross Diffusion
Laurent Desvillettes, Christian Kuehn, Jan-Eric Sulzbach +2
Multiple time scales problems are investigated by combining geometrical and analytical approaches. More precisely, for fast-slow reaction-diffusion systems, we first prove the exis…
Well-Posedness for the Reaction-Diffusion Equation with Temperature in a critical Besov Space
Chun Liu, Jan-Eric Sulzbach
We derive a model for the non-isothermal reaction-diffusion equation. Combining ideas from non-equilibrium thermodynamics with the energetic variational approach we obtain a genera…
The Brinkman-Fourier System with Ideal Gas Equilibrium
Chun Liu, Jan-Eric Sulzbach
In this work, we will introduce a general framework to derive the thermodynamics of a fluid mechanical system, which guarantees the consistence between the energetic variational ap…