Global Existence Versus Blow-Up for Multidimensional Hyperbolized Compressible Navier–Stokes Equations

DOI10.1137/22M1497468zbMath1525.35171arXiv2204.13080OpenAlexW4387060455MaRDI QIDQ6049474

Publication date: 17 October 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.13080

zbMATH Keywords

blow-up compressible Navier-Stokes equations global solutions Cattaneo's law relaxation limit Maxwell flow

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) First-order nonlinear hyperbolic equations (35L60) Blow-up in context of PDEs (35B44) Compressible Navier-Stokes equations (76N06)

Cites Work

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Newtonian limit of Maxwell fluid flows
On the uniqueness of compressible fluid motions
Compressible fluid flow and systems of conservation laws in several space variables
Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids
Formation of singularities in solutions to nonlinear hyperbolic equations
Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
The initial value problem for the equations of motion of viscous and heat-conductive gases
On the thermodynamics of second sound in dielectric crystals
Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
Global convergence to compressible full Navier-Stokes equations by approximation with Oldroyd-type constitutive laws
Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations
Hyperbolic compressible Navier-Stokes equations
Compressible Navier-Stokes equations with revised Maxwell's law
Blow-up of viscous heat-conducting compressible flows
On second sound in materials with memory
Compressible Navier–Stokes Equations with hyperbolic heat conduction
Optimal rates of decay in 2-d thermoelasticity with second sound
Lectures on Nonlinear Evolution Equations
Constitutive models for linear compressible viscoelastic flows of simple liquids at nanometer length scales
On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data
On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
Global existence versus blow‐up results for one dimensional compressible Navier–Stokes equations with Maxwell's law
Formation of singularities in one-dimensional thermoelasticity with second sound
Le problème de Cauchy pour les équations différentielles d'un fluide général
On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
On the existence of globally defined weak solutions to the Navier-Stokes equations

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