Blow-up of the smooth solution to quantum hydrodynamic models in \(\mathbb{R}^{d}\)

DOI10.1016/j.jde.2016.06.007zbMath1354.35123OpenAlexW2470035691MaRDI QIDQ305406

Guangwu Wang, Bo-ling Guo

Publication date: 29 August 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.06.007

zbMATH Keywords

blow-up of the smooth solutionlocal-in-time existencequantum hydrodynamic model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Blow-up in context of PDEs (35B44) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (9)

A blow-up criterion of strong solutions to the quantum hydrodynamic model ⋮ Blow-up of spherically symmetric smooth solutions to quantum hydrodynamic models ⋮ Blow-up of the smooth solution to the IBVP of three-dimensional quantum hydrodynamic models ⋮ Blowup of smooth solutions to the isentropic compressible quantum hydrodynamic model ⋮ Blow-up of solutions to quantum hydrodynamic models in half space ⋮ Existence and blow-up of the solutions to the viscous quantum magnetohydrodynamic nematic liquid crystal model ⋮ A new blow-up criterion of the strong solution to the quantum hydrodynamic model ⋮ Remarks on blow-up of the smooth solution to quantum hydrodynamic models in \(\mathbb {R}^{d}\) ⋮ Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations

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