GLOBAL EXPONENTIAL STABILITY OF CLASSICAL SOLUTIONS TO THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

DOI10.1142/S0218202507002364zbMath1144.35013arXivmath/0703659MaRDI QIDQ5386716

Daoyuan Fang, Jiang Xu, Ting Zhang

Publication date: 14 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0703659

zbMATH Keywords

Besov spaceLittlewood-Paley decompositionBony's para-product formulahigh- and low-frequency decomposition method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Statistical mechanics of semiconductors (82D37) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (9)

Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors ⋮ Relaxation-time limit of the multidimensional bipolar hydrodynamic model in Besov space ⋮ A note on incompressible limit for compressible Euler equations ⋮ ENERGY-TRANSPORT LIMIT OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS ⋮ Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors ⋮ On the classical solutions to the hydrodynamic model for semiconductors ⋮ Existence and asymptotic behavior of \(C^1\) solutions to the multi-dimensional compressible Euler equations with damping ⋮ Relaxation-time limit and initial layer in the isentropic hydrodynamic model for semiconductors ⋮ The optimal decay estimates on the framework of Besov spaces for the Euler–Poisson two-fluid system

Cites Work

• Theory of function spaces
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\)
• The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors.
• The asymptotic behavior of global smooth solutions to the hydrodynamic model for semiconductors with spherical symmetry
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Global Existence of Smooth Solutions of theN-Dimensional Euler--Poisson Model
• Density-dependent incompressible viscous fluids in critical spaces

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