Regularity of the solution and well-posedness of a mixed problem for an elliptic system with quadratic nonlinearity in gradients
DOI10.1134/S0965542512100089zbMath1274.35383OpenAlexW2062734115MaRDI QIDQ2838936
D. L. Tkachev, Alexander Blokhin
Publication date: 3 July 2013
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542512100089
generalized solutionhydrodynamic modelelliptic equationcompactness principlewell-posedness of a mixed problem
Statistical mechanics of semiconductors (82D37) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) PDEs in connection with statistical mechanics (35Q82)
Cites Work
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- Local-in-time well-posedness of a regularized mathematical model for silicon MESFET
- Nonlinear asymptotic stability of the equilibrium state for the MEP model of charge transport in semiconductors
- Regularity theory for quasilinear elliptic systems and Monge-Ampère equations in two dimensions
- Some regularity results for quasilinear elliptic systems of second order
- 2D simulation of a silicon MESFET with a nonparabolic hydrodynamical model based on the maximum entropy principle
- Non parabolic band transport in semiconductors: closure of the moment equations
- Non-parabolic band transport in semiconductors: Closure of the production terms in the moment equations
- Representation of the solution to a model problem in semiconductor physics
- Linear asymptotic stability of the equilibrium state for the 2-D MEP hydrodynamical model of charge transport in semiconductors
- A discontinuous solution of a mildly nonlinear elliptic system
- Numerical Method for 2D Simulation of a Silicon MESFET with a Hydrodynamical Model Based on the Maximum Entropy Principle
- TRANSIENT SEMICONDUCTOR DEVICE SIMULATION INCLUDING ENERGY BALANCE EQUATION
- Elliptic Partial Differential Equations of Second Order
- On a hierarchy of macroscopic models for semiconductors
- Hydrodynamical modeling of charge carrier transport in semiconductors
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