A Nonlinear Drift ‐ Diffusion System with Electric Convection Arising in Electrophoretic and Semiconductor Modeling
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Publication:4340565
DOI10.1002/mana.3211850108zbMath1157.35406OpenAlexW2097169174MaRDI QIDQ4340565
Publication date: 3 July 1997
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.3211850108
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Degenerate parabolic equations (35K65) Motion of charged particles (78A35)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Compact sets in the space \(L^ p(0,T;B)\)
- On the basic equations for carrier transport in semiconductors
- On nonlinear reaction-diffusion systems
- Uniqueness of steady-state solutions for an electrochemistry model with multiple species
- Multi-dimensional electrochemistry model
- Long-time behaviour of solutions of an electrophoretic model with a single reaction
- Bounded solutions for reaction-diffusion systems with nonlinear boundary conditions
- Existence of global solution for reaction-diffusion systems with density dependent diffusion
- Time-dependent solutions of a nonlinear system arising in semiconductor theory
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Elliptic Partial Differential Equations of Second Order
- Semiconductor Equations for variable Mobilities Based on Boltzmann Statistics or Fermi-Dirac Statistics
- QUALITATIVE BEHAVIOR OF SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS
- An Initial Value Problem from Semiconductor Device Theory
- Electrophoretic Traveling Waves
