Global existence and large time behavior of solutions for the bipolar quantum hydrodynamic models in the quarter plane

DOI10.1002/mma.2694zbMath1273.35231OpenAlexW2014496290MaRDI QIDQ2846212

Yeping Li

Publication date: 5 September 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2694

zbMATH Keywords

asymptotic behaviorsmooth solutionquantum hydrodynamic modelnonlinear diffusion wavebipolar

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with quantum mechanics (35Q40) Initial-boundary value problems for PDEs of mixed type (35M13)

Related Items

Asymptotic stability of nonlinear diffusion waves for the bipolar quantum Euler–Poisson system with time‐dependent damping ⋮ Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors ⋮ Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping ⋮ Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations ⋮ Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system

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