Remarks on blowup of solutions for compressible Navier-Stokes equations with revised Maxwell's law

DOI10.1007/s40840-022-01437-3zbMath1503.35128OpenAlexW4311065511MaRDI QIDQ2105278

Jian-Wei Dong

Publication date: 8 December 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01437-3

zbMATH Keywords

blowupcompressible Navier-Stokes equationsclassical solutionsrevised Maxwell's law

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Classical solutions to PDEs (35A09)

Cites Work

• Newtonian limit of Maxwell fluid flows
• Blow-up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations
• Formation of singularities in three-dimensional compressible fluids
• Low Mach number limit of full compressible Navier-Stokes equations with revised Maxwell law
• Blowup of solutions for compressible Navier-Stokes equations with revised Maxwell's law
• Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball
• Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities
• Compressible Navier-Stokes equations with revised Maxwell's law
• On blowup of classical solutions to the compressible Navier-Stokes equations
• Blow-up of viscous heat-conducting compressible flows
• Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum
• Constitutive models for linear compressible viscoelastic flows of simple liquids at nanometer length scales
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• Blow‐up of the smooth solutions to the compressible Navier–Stokes equations

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