Electro‐reaction‐diffusion systems with nonlocal constraints
Copyright policy )Electro‐reaction‐diffusion systems with nonlocal constraints
AbstractThe paper deals with equations modelling the redistribution of charged particles by reactions, drift and diffusion processes. The corresponding model equations contain parabolic PDEs for the densities of mobile species, ODEs for the densities of immobile species, a possibly nonlinear, nonlocal Poisson equation and some nonlocal constraints. Based on applications to semiconductor technology these equations have to be investigated for non‐smooth data and kinetic coefficients which depend on the state variables.In two space dimensions we discuss the steady states of the system, we prove energy estimates, global a priori estimates and give a global existence result. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- Leibniz Association Germany
- Weierstrass Institute Germany
- Weierstrass Institute for Applied Analysis and Stochastics Germany
steady states, parabolic PDEs, non-smooth data, 510, ODEs, elliptic parabolic ODE system, 35R05, PDEs in connection with optics and electromagnetic theory, ddc:510, global estimates, global existence, Drift-diffusion systems, nonlocal constraints, energy estimates, Asymptotic behavior of solutions to PDEs, asymptotic behaviour, 35B40, article, 80A30, reaction-diffusion systems, 35D05, 35B45, fixed point theorems, 35Dxx, nonlocal Poisson equation, heterostructures, 35K35, 35K57, 78A35, Systems of parabolic equations, boundary value problems, Drift-diffusion systems -- reaction-diffusion systems -- heterostructures -- energy estimates -- global estimates -- asymptotic behaviour -- global existence -- fixed point theorems, two space dimensions, semiconductor technology
steady states, parabolic PDEs, non-smooth data, 510, ODEs, elliptic parabolic ODE system, 35R05, PDEs in connection with optics and electromagnetic theory, ddc:510, global estimates, global existence, Drift-diffusion systems, nonlocal constraints, energy estimates, Asymptotic behavior of solutions to PDEs, asymptotic behaviour, 35B40, article, 80A30, reaction-diffusion systems, 35D05, 35B45, fixed point theorems, 35Dxx, nonlocal Poisson equation, heterostructures, 35K35, 35K57, 78A35, Systems of parabolic equations, boundary value problems, Drift-diffusion systems -- reaction-diffusion systems -- heterostructures -- energy estimates -- global estimates -- asymptotic behaviour -- global existence -- fixed point theorems, two space dimensions, semiconductor technology
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