Local well-posedness of 1D degenerate drift diffusion equation
DOI10.3934/MINE.2024007zbMATH Open1545.35206MaRDI QIDQ6581246
Publication date: 30 July 2024
Published in: Mathematics in Engineering (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Motion of charged particles (78A35) Degenerate hyperbolic equations (35L80) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with semiconductor devices (35Q81)
Cites Work
- Title not available (Why is that?)
- Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
- Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum
- Global well-posedness of strong solutions with large oscillations and vacuum to the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile
- A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum
- Relaxation limit and initial layer to hydrodynamic models for semiconductors
- Asymptotic behaviour of solutions of a nonlinear diffusion equation
- A steady state potential flow model for semiconductors
- Compressible Euler equations with vacuum
- The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations
- Compressible flow with vacuum and physical singularity.
- On a one-dimensional steady-state hydrodynamic model for semiconductors
- Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- On the Cauchy problem of 3D compressible, viscous, heat-conductive Navier-Stokes-Poisson equations subject to large and non-flat doping profile
- Identification of doping profiles in semiconductor devices
- Well-posedness of Compressible Euler Equations in a Physical Vacuum
- Relaxation-time limit of the three-dimensional hydrodynamic model with boundary effects
- Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
- Well-posedness for compressible Euler equations with physical vacuum singularity
- Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
- Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (I) Subsonic Doping Profile
- Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (II) Supersonic Doping Profile
- ON THE RELAXATION LIMITS OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTOR DEVICES
- Stability of Steady States of the Navier--Stokes--Poisson Equations with Non-Flat Doping Profile
- Quasi-neutral Limit of the Drift Diffusion Models for Semiconductors: The Case of General Sign-Changing Doping Profile
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