A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects
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Publication:1385311
DOI10.1016/S0021-7824(97)89980-1zbMath0907.35059WikidataQ127012790 ScholiaQ127012790MaRDI QIDQ1385311
Stéphane Génieys, Ansgar Jüngel, Pierre Degond
Publication date: 10 January 1999
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Leray-Schauder fixed point theoremparabolic-elliptic systemsemidiscretization of timemixed Dirichlet and Neumann conditions
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Motion of charged particles (78A35)
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Cites Work
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- Compact sets in the space \(L^ p(0,T;B)\)
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- Quasilinear elliptic-parabolic differential equations
- A uniqueness theorem for weak solutions of the stationary semiconductor equations
- An energy-transport model for semiconductors derived from the Boltzmann equation.
- Approximation of nonlinear evolution systems
- Multi-dimensional electrochemistry model
- On the convergence of the Boltzmann equation for semiconductors toward the energy transport model
- Regularization of mixed second-order elliptic problems
- A THERMODYNAMICALLY CONSISTENT MODEL OF A MUSHY ZONE
- COMPARATIVE STUDIES OF HYDRODYNAMIC AND ENERGY TRANSPORT MODELS
- Macroscopic models for semiconductor heterostructures
- Semiconductor Equations for variable Mobilities Based on Boltzmann Statistics or Fermi-Dirac Statistics
- Local existence of general nonlinear parabolic systems
- QUALITATIVE BEHAVIOR OF SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS
- On a hierarchy of macroscopic models for semiconductors
- Stationary equations for charge carriers in semiconductors including electron-hole scattering