The existence and stability of smooth solutions for multidimensional isentropic bipolar hydrodynamic model of semiconductors
From MaRDI portal
Publication:2283087
DOI10.1016/j.nonrwa.2019.03.006zbMath1433.35397OpenAlexW2929617656WikidataQ128095456 ScholiaQ128095456MaRDI QIDQ2283087
Publication date: 27 December 2019
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.03.006
Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) Maximum principles in context of PDEs (35B50) Statistical mechanics of semiconductors (82D37) Motion of charged particles (78A35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Euler equations (35Q31) PDEs in connection with semiconductor devices (35Q81)
Cites Work
- Unnamed Item
- Unnamed Item
- Large time behavior of solutions to multi-dimensional bipolar hydrodynamic model of semiconductors with vacuum
- On the stationary solutions of multi-dimensional bipolar hydrodynamic model of semiconductors
- Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\)
- Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors
- Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems
- Stability of semiconductor states with insulating and contact boundary conditions
- Stability of non-constant equilibrium solutions for two-fluid Euler-Maxwell systems
- Large time behavior of Euler-Poisson system for semiconductor
- Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum
- The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors.
- Multi-dimensional bipolar hydrodynamic model of semiconductor with insulating boundary conditions and non-zero doping profile
- On a one-dimensional steady-state hydrodynamic model for semiconductors
- Quasi-hydrodynamic semiconductor equations
- Global entropy solutions in \(L^\infty\) to the Euler equations and Euler-Poisson equations for isothermal fluids with spherical symmetry
- Solutions for a hydrodynamic model of semiconductors
- Global smooth solutions to the multidimensional hydrodynamic model for plasmas with insulating boundary conditions
- Global existence and asymptotic behavior of smooth solutions to a bipolar Euler-Poisson equation in a bound domain
- Large Time Behavior of Solutions ton-Dimensional Bipolar Hydrodynamic Models for Semiconductors
- Asymptotic Convergence to Stationary Waves for Unipolar Hydrodynamic Model of Semiconductors
- Elliptic Partial Differential Equations of Second Order
- Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
- Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors
- THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
