Large time behavior of solutions to a bipolar hydrodynamic model with big data and vacuum
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Publication:332393
DOI10.1016/j.nonrwa.2016.08.007zbMath1354.35154OpenAlexW2538686961MaRDI QIDQ332393
Publication date: 8 November 2016
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.08.007
entropy solutionstationary solutionlarge time behaviorEuler-Poisson systembipolar semiconductor device
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Statistical mechanics of semiconductors (82D37) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) PDEs in connection with statistical mechanics (35Q82)
Related Items (11)
Existence and asymptotic behavior of smooth solutions to bipolar hydrodynamic model ⋮ Large-time behavior of entropy solutions to bipolar hydrodynamic model for semiconductors ⋮ Multi-dimensional bipolar hydrodynamic model of semiconductor with insulating boundary conditions and non-zero doping profile ⋮ Existence of positive solutions for second-order third-point semipositive BVP ⋮ Existence and large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices with variable coefficient damping ⋮ Oscillation of damped second order quasilinear wave equations with mixed arguments ⋮ Asymptotic stability of a stationary solution for the bipolar full Euler-Poisson equation in a bounded domain ⋮ Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space ⋮ Large time behavior framework for the time-increasing weak solutions of bipolar hydrodynamic model of semiconductors ⋮ Large time behavior of a bipolar hydrodynamic model with large data and vacuum ⋮ Vacuum and singularity formation problem for compressible Euler equations with general pressure law and time-dependent damping
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