The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity (Q6042083)

scientific article; zbMATH DE number 7686418

Language	Label	Description	Also known as
English	The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity	scientific article; zbMATH DE number 7686418

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instance of

scholarly article

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title

The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity (English)

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SIAM Journal on Mathematical Analysis

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publication date

16 May 2023

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zbMATH Keywords

global existence

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optimal convergence rate

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Besov space regularity

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interpolation inequality

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Lyapunov energy inequality

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Littlewood-Paley theory

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MaRDI profile type

MaRDI publication profile

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cites work

Fourier Analysis and Nonlinear Partial Differential Equations

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On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids

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A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework

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The initial value problem for the compressible Navier-Stokes equations without heat conductivity

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Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity

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On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces

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Global large solutions and incompressible limit for the compressible Navier-Stokes equations

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On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces

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Global existence in critical spaces for compressible Navier-Stokes equations

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LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES

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Global existence in critical spaces for flows of compressible viscous and heat-conductive gases

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The incompressible limit in \(L^p\) type critical spaces

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Existence of global strong solutions in critical spaces for barotropic viscous fluids

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Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force

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Global existence and convergence rates for the 3-D compressible Navier-Stokes equations without heat conductivity

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OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES

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Compressible Navier-Stokes equations with a non-monotone pressure law

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Q5702675

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On the motion of a viscous, compressible, and heat conducting fluid

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On the existence of globally defined weak solutions to the Navier-Stokes equations

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Decay of Dissipative Equations and Negative Sobolev Spaces

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Symmetric nonbarotropic flows with large data and forces

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Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations

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Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows

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Serrin-type blowup criterion for full compressible Navier-Stokes system

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On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid

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Large-time behavior of solutions to the equations of a viscous polytropic ideal gas

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Large-time behavior of solutions to the equations of a one-dimensional viscous polytropic ideal gas in unbounded domains

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Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas

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Global well-posedness of non-heat conductive compressible Navier–Stokes equations in 1D

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Compressible Navier-Stokes equations with zero heat conductivity

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The initial value problem for the equations of motion of viscous and heat-conductive gases

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Le problème de Cauchy pour les équations différentielles d'un fluide général

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Blow-up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations

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On the first initial-boundary value problem of compressible viscous fluid motion

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Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum

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Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data

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Global Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large Data

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Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density

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On blowup of classical solutions to the compressible Navier-Stokes equations

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Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions

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Global Large Solutions to the Three Dimensional Compressible Navier--Stokes Equations

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Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations

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Identifiers

zbMATH Open document ID

1523.76082

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DOI

10.1137/22m1504998

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6042083