Exponential stability for the compressible Navier-Stokes equations with the cylinder symmetry in \(\mathbb R^3\)
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Publication:708515
DOI10.1016/j.nonrwa.2010.01.006zbMath1201.35154OpenAlexW2033887769MaRDI QIDQ708515
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.01.006
Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (13)
Regularity to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity ⋮ Regularity for compressible isentropic Navier-Stokes equations with cylinder symmetry ⋮ Global existence of cylinder symmetric solutions for the nonlinear compressible Navier-Stokes equations ⋮ Exponential stability and universal attractors for the Navier-Stokes equations of compressible fluids between two horizontal parallel plates in \({\mathbb R}^3\) ⋮ 3-D flow of a compressible viscous micropolar fluid with cylindrical symmetry: uniqueness of a generalized solution ⋮ Asymptotic behavior of compressible \(p\)-th power Newtonian fluid with large initial data ⋮ Exponential stability for the compressible micropolar fluid with cylinder symmetry in R3 ⋮ Three-dimensional compressible viscous micropolar fluid with cylindrical symmetry: derivation of the model and a numerical solution ⋮ Global existence and asymptotic behavior of cylindrically symmetric solutions for the 3D infrarelativistic model with radiation ⋮ Global existence and exponential stability of solutions in \(H^4\) for the compressible Navier-Stokes equations with the cylinder symmetry ⋮ Asymptotic behavior of spherically or cylindrically symmetric solutions to the compressible Navier-Stokes equations with large initial data ⋮ Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas ⋮ Local existence of the generalized solution for three-dimensional compressible viscous flow of micropolar fluid with cylindrical symmetry
Cites Work
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- Global existence and asymptotic behavior in nonlinear thermoviscoelasticity
- Universal attractor in \(H^4\) for the nonlinear one-dimensional compressible Navier-Stokes equations
- On the equations of one-dimensional motion of compressible viscous fluids
- Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
- On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary
- Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data
- Stability properties of regular flows of heat-conducting compressible fluids
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Uniqueness of the solution of the equation in one dimension or with spherical symmetry of a viscous heat-conductive gas
- On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas
- Maximal attractor for the coupled Cahn-Hilliard equations
- Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
- Exponential stability and universal attractors for the Navier-Stokes equations of compressible fluids between two horizontal parallel plates in \({\mathbb R}^3\)
- Large-time behavior of solutions to the equations of a viscous polytropic ideal gas
- Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas
- Continuous dependence in \(L^ 2\) for discontinuous solutions of the viscous \(p\)-system
- Spherically symmetric equation of a viscous heat conducting gas with free surface
- Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain
- Exponential stability in \(H^4\) for the Navier-Stokes equations of compressible and heat conductive fluid
- On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with stress-free condition
- On the outer pressure problem of the one-dimensional polytropic ideal gas
- The Failure of Continuous Dependence on Initial data for the Navier–Stokes equations of Compressible Flow
- Global Solutions to the Compressible Navier–Stokes Equations for a Reacting Mixture
- L2Decay for the Compressible Navier-Stokes Equations in Unbounded Domains
- Asymptotic Behavior of the Solutions to a Landau--Ginzburg System with Viscosity for Martensitic Phase Transitions in Shape Memory Alloys
- Global existence and asymptotic behaviour of the solution to the system in one-dimensional nonlinear thermoviscoelasticity
- Maximal attractor for the system of one-dimensional polytropic viscous ideal gas
- Global existence and asymptotic behavior of weak solutions to nonlinear thermoviscoelastic systems with clamped boundary conditions
- Vanishing Shear Viscosity in the Equations of Compressible Fluids for the Flows with the Cylinder Symmetry
- Global solutions of the compressible navier-stokes equations with larger discontinuous initial data
- Universal attractors for a nonlinear one-dimensional heat-conductive viscous real gas
- Continuous Dependence on Initial Data for Discontinuous Solutions of the Navier–Stokes Equations for One-Dimensional, Compressible Flow
- Global existence and asymptotic behavior for a viscous, heat-conductive, one-dimensinal real gas with fixed and thermally insulated endpoints
- Global existence and asymptotic behavior for a viscous, heat-conductive, one-dimensional real gas with fixed and constant temperature boundary conditions.
- Universal attractors for the Navier-Stokes equations of compressible and heat-conductive fluid in bounded annular domains in \(\mathbb{R}^n\)
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