Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
From MaRDI portal
Publication:1811799
DOI10.1016/S0022-0396(03)00015-9zbMath1022.35037OpenAlexW1971154593MaRDI QIDQ1811799
Publication date: 17 June 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00015-9
stabilityNavier-Stokes equationsuniquenessstrong solutionsunbounded domainsisentropic compressible fluidsinitial vacuum
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum ⋮ Global Well-Posedness of Classical Solutions to the Cauchy Problem of Two-Dimensional Barotropic Compressible Navier--Stokes System with Vacuum and Large Initial Data ⋮ Global strong solutions to the 3D non-isentropic compressible Navier-Stokes-Poisson equations in bounded domains ⋮ Existence and uniqueness of strong solutions for a class of compressible non-Newtonian fluids with singularity ⋮ Global classical solutions to the compressible Navier–Stokes equations with Navier-type slip boundary condition in 2D bounded domains ⋮ Global solutions of \(2D\) isentropic compressible Navier-Stokes equations with one slow variable ⋮ Local well‐posedness and blow‐up criterion for a compressible Navier‐Stokes‐P1 approximate model arising in radiation hydrodynamics ⋮ Space-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction ⋮ Decay of the compressible Navier-Stokes equations with hyperbolic heat conduction ⋮ Decay of the Compressible Navier-Stokes Equations with Hyperbolic Heat Conduction ⋮ Existence and blow up criterion for strong solutions to the compressible biaxial nematic liquid crystal flow ⋮ The Cartesian analytical solutions for the N-dimensional compressible Navier–Stokes equations with density-dependent viscosity ⋮ On the regularity criteria for the three‐dimensional compressible Navier–Stokes system in Lorentz spaces ⋮ Global existence of strong solutions to the 3D isentropic compressible Navier–Stokes equations with density‐dependent viscosities ⋮ Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in \(\mathbb{R}^3\) ⋮ Mass concentration phenomenon in the 3D bipolar compressible Navier-Stokes-Poisson system ⋮ Weak Serrin‐type criterion for the three‐dimensional viscous compressible Navier–Stokes system ⋮ Global existence of strong solutions of Navier-Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids ⋮ On the strong solutions of one-dimensional Navier-Stokes-Poisson equations for compressible non-Newtonian fluids ⋮ Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity ⋮ Strong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conduction ⋮ Local strong solution for a class of non-Newtonian fluids with heat-conducting and state function ⋮ On the existence of local classical solutions to the Navier-Stokes equations with degenerate viscosities ⋮ Global classical solution to the 3D isentropic compressible Navier-Stokes equations with general initial data and a density-dependent viscosity coefficient ⋮ Local well-posedness to the three-dimensional barotropic compressible magnetohydrodynamic equations with vacuum ⋮ On the Global Motion of Viscous Compressible Barotropic Flows Subject to Large External Potential Forces and Vacuum ⋮ Compressible Navier-Stokes equations with revised Maxwell's law ⋮ The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations ⋮ Local strong solution for a class of shear thickening fluids with non-Newtonian potential and heat-conducting ⋮ Classical large solution for the viscous compressible fluids with initial vacuum in 1D ⋮ Local Strong Solutions to the Full Compressible Navier--Stokes System with Temperature-Dependent Viscosity and Heat Conductivity ⋮ Existence and blowup behavior of global strong solutions to the two-dimensional barotropic compressible Navier-Stokes system with vacuum and large initial data ⋮ Blow-up criterion for three-dimensional compressible viscoelastic fluids with vacuum ⋮ Local existence of strong solutions to the \(k\)-\(\varepsilon\) model equations for turbulent flows ⋮ Global classical solutions of compressible isentropic Navier-Stokes equations with small density ⋮ Global existence and large time behavior of strong solutions to the 2-D compressible nematic liquid crystal flows with vacuum ⋮ Global classical solutions of the full compressible Navier-Stokes equations with cylindrical or spherical symmetry ⋮ Classical solutions of the 3D compressible fluid-particle system with a magnetic field ⋮ On the Cauchy problem of 3D compressible, viscous, heat-conductive Navier-Stokes-Poisson equations subject to large and non-flat doping profile ⋮ Existence results for viscous polytropic fluids with vacuum ⋮ On the existence of local strong solutions to chemotaxis-shallow water system with large data and vacuum ⋮ A strong solution of Navier-Stokes equations with a rotation effect for isentropic compressible fluids ⋮ The local well-posedness of a chemotaxis-shallow water system with vacuum ⋮ Local existence and uniqueness of strong solutions to the two dimensional nonhomogeneous incompressible primitive equations ⋮ The global existence of strong solutions to the 3D compressible isothermal Navier-Stokes equations ⋮ A class of compressible non-Newtonian fluids with external force and vacuum under no compatibility conditions ⋮ The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball. II: 3D Navier-Stokes equations ⋮ Weak-strong uniqueness for the isentropic compressible Navier-Stokes system ⋮ On the implosion of a compressible fluid. II: Singularity formation ⋮ Unique solvability of compressible micropolar viscous fluids ⋮ Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum ⋮ Global classical large solutions with vacuum to 1D compressible MHD with zero resistivity ⋮ Hyperbolic compressible Navier-Stokes equations ⋮ On local strong solutions to the 2D Cauchy problem of the compressible non-resistive magnetohydrodynamic equations with vacuum ⋮ Global classical solutions to the 2D compressible Navier-Stokes equations with vacuum ⋮ Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations ⋮ Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data ⋮ Global existence of weak solution to the free boundary problem for compressible Navier-Stokes ⋮ Local well-posedness to the Cauchy problem of the 2D compressible Navier-Stokes-Smoluchowski equations with vacuum ⋮ Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general initial data ⋮ A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations ⋮ Blowup criterion for viscous baratropic flows with vacuum states ⋮ Well-posedness for a class of compressible non-Newtonian fluids equations ⋮ Existence of the unique strong solution for a class of non-Newtonian fluids with vacuum ⋮ Existence and uniqueness of solutions for a class of non-Newtonian fluids with vacuum and damping ⋮ Relative Entropy, Weak-Strong Uniqueness, and Conditional Regularity for a Compressible Oldroyd--B Model ⋮ Serrin-type blowup criterion for full compressible Navier-Stokes-Maxwell system with vacuum ⋮ Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum ⋮ BLOW-UP CRITERIA FOR THE NAVIER–STOKES EQUATIONS OF COMPRESSIBLE FLUIDS ⋮ Finite velocity of the propagation of perturbations for a class of non-Newtonian fluids ⋮ Regularity and uniqueness for the compressible full Navier-Stokes equations ⋮ Local existence of the strong solutions for the full Navier-Stokes-Poisson equations ⋮ Global existence and optimal decay rate for the strong solutions in \(H^{2}\) to the compressible Navier-Stokes equations ⋮ Unique solvability of the initial boundary value problems for compressible viscous fluids. ⋮ Strong solutions of the compressible nematic liquid crystal flow ⋮ Asymptotic flocking dynamics of Cucker-Smale particles immersed in compressible fluids ⋮ Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data ⋮ Global classical solutions to 1D full compressible Navier-Stokes equations with the Robin boundary condition on temperature ⋮ Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations ⋮ The strong solution for the viscous polytropic fluids with non-Newtonian potential ⋮ Global existence and uniqueness of strong solutions for the magnetohydrodynamic equations ⋮ The well-posedness of solution to a compressible non-Newtonian fluid with self-gravitational potential ⋮ On the global existence of classical solutions for compressible Navier-Stokes equations with vacuum ⋮ Global existence of classical solutions for isentropic compressible Navier-Stokes equations with small initial density ⋮ Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids ⋮ On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum ⋮ Local well-posedness for a two-phase model with magnetic field and vacuum. ⋮ Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in \(R^N\) ⋮ Existence and uniqueness of solutions for a class of non-Newtonian fluids with singularity and vacuum ⋮ On the compressible Boussinesq equations with partial dissipation term ⋮ Global existence of strong solutions of the Navier-Stokes equations for isentropic compressible fluids with density-dependent viscosity ⋮ On center singularity for compressible spherically symmetric nematic liquid crystal flows ⋮ Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum ⋮ Regularity of 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity ⋮ Global existence of classical solutions with large oscillations and vacuum to the three-dimensional compressible nematic liquid crystal flows ⋮ A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations ⋮ On scaling invariance and type-I singularities for the compressible Navier-Stokes equations ⋮ A blow-up criterion for classical solutions to the compressible Navier-Stokes equations ⋮ CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH A TERM OF CAPILLARITY ⋮ On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities ⋮ Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum ⋮ Blow up criterion for compressible nematic liquid crystal flows in dimension three ⋮ Blow up criteria for the compressible Navier–Stokes equations ⋮ Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum ⋮ Well-posedness for the three-dimensional compressible liquid crystal flows ⋮ Unique solvability for the density-dependent non-Newtonian compressible fluids with vacuum ⋮ Local well-posedness of strong solutions to the three-dimensional compressible primitive equations ⋮ Strong solution to the compressible magnetohydrodynamic equations with vacuum ⋮ Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations ⋮ On local classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum ⋮ Global regularity of the three-dimensional equations for nonhomogeneous incompressible fluids ⋮ A note on spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients ⋮ Strong solutions to a fluid-particle interaction model with magnetic field in \(\mathbb{R}^2\) ⋮ Global strong solution to the two-dimensional full compressible Navier-Stokes equations with large viscosity ⋮ Existence of global strong solutions for a reduced gravity two-and-a-half layer model ⋮ Global existence of classical solutions for two-dimensional isentropic compressible Navier-Stokes equations with small initial mass ⋮ Global well-posedness of strong solutions with large oscillations and vacuum to the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile ⋮ Global existence of the radially symmetric strong solution to Navier-Stokes-Poisson equations for isentropic compressible fluids ⋮ A Serrin criterion for compressible nematic liquid crystal flows ⋮ A blowup criterion for the compressible nematic liquid crystal flows in dimension two ⋮ Existence results for compressible radiation hydrodynamic equations with vacuum ⋮ Optimal decay of compressible Navier-Stokes equations with or without potential force ⋮ Global well-posedness of compressible magnetohydrodynamics with density-dependent viscosity and resistivity ⋮ The global classical solution to a 1D two-fluid model with density-dependent viscosity and vacuum ⋮ On the ideal compressible magnetohydrodynamic equations ⋮ Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum without initial compatibility conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of global solutions for 2-dimensional viscous compressible flows
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid
- Compressible Euler equations with vacuum
- On compactness of solutions to the Navier-Stokes equations of compressible flow
- Vacuum states for compressible flow
- On the motion of a viscous compressible fluid driven by a time-periodic external force
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
- Equations of fluid dynamics—free surface problems
- Sur la solution à support compact de l’equation d’Euler compressible
- Free boundary value problems for the equation of one-dimensional motion of viscous gas
- The Failure of Continuous Dependence on Initial data for the Navier–Stokes equations of Compressible Flow
- Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet
- Regularity of weak solutions of the compressible isentropic navier-stokes equations
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- Interface Behavior of Compressible Navier--Stokes Equations with Vacuum
- Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
- On Integrability up to the boundary of the weak solutions of the navier—stokes equations of compressible flow
- Non-formation of vacuum states for compressible Navier-Stokes equations
- On the existence of globally defined weak solutions to the Navier-Stokes equations
This page was built for publication: Strong solutions of the Navier-Stokes equations for isentropic compressible fluids