Blow-up of spherically symmetric smooth solutions to quantum hydrodynamic models

DOI10.1016/j.jmaa.2018.05.042zbMath1393.35166OpenAlexW2803296909MaRDI QIDQ1650503

Yong Yang, Jian-Wei Dong, Guang-Pu Lou

Publication date: 4 July 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.042

zbMATH Keywords

blow-upspherical symmetrysmooth solutionquantum hydrodynamic model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Blow-up in context of PDEs (35B44)

Related Items

Blow-up of the smooth solution to the IBVP of three-dimensional quantum hydrodynamic models ⋮ New weighted functional for non-existence of global solutions to the non-isentropic compressible Euler equations

Cites Work

• Blow-up of the smooth solution to quantum hydrodynamic models in \(\mathbb{R}^{d}\)
• The quantum hydrodynamics system in two space dimensions
• On the finite energy weak solutions to a system in quantum fluid dynamics
• On the blowing up of solutions to quantum hydrodynamic models on bounded domains
• Formation of singularities in three-dimensional compressible fluids
• Existence and asymptotic behavior of multi-dimensional quantum hydrodynamic model for semiconductors
• Initial boundary value problems for a quantum hydrodynamic model of semiconductors: asymptotic behaviors and classical limits
• Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors
• Blow-up of solutions to quantum hydrodynamic models in half space
• The Quantum Hydrodynamic Model for Semiconductor Devices
• Quantum Euler-Poisson systems: global existence and exponential decay
• Theory of the Superfluidity of Helium II