GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS FOR A 1D ISOTHERMAL VISCOUS GAS
From MaRDI portal
Publication:3534071
DOI10.1142/S0218202508003078zbMath1184.35245MaRDI QIDQ3534071
Publication date: 3 November 2008
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (6)
Global behavior of 1D compressible isentropic Navier-Stokes equations with a non-autonomous external force ⋮ Global existence of cylinder symmetric solutions for the nonlinear compressible Navier-Stokes equations ⋮ Global behaviour for a viscous, heat-conductive, one-dimensional real gas with a non-autonomous external force and a heat source ⋮ Cauchy problem for non-autonomous Navier-Stokes equations in an unbounded domain ⋮ Global existence and asymptotic behavior for the compressible Navier-Stokes equations with a non-autonomous external force and a heat source ⋮ Global existence for non‐autonomous Navier–Stokes equations with discontinuous initial data
Cites Work
- Universal attractor in \(H^4\) for the nonlinear one-dimensional compressible Navier-Stokes equations
- The stability of one dimensional stationary flows of compressible viscous fluids
- Long time behavior for one-dimensional motion of a general barotropic viscous fluid
- A survey on the generalized Burger's equation with a pressure model term
- Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas
- Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas
- Perturbed nonlinear abstract equations
- On The Coupled Cahn-hilliard Equations
- 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
- Universal attractors for a nonlinear one-dimensional heat-conductive viscous real gas
- Global existence and asymptotic behavior for a viscous, heat-conductive, one-dimensinal real gas with fixed and thermally insulated endpoints
- Existence of periodic solutions for a one-dimensional isentropic model system of compressible viscous gas
- Universal attractors for the Navier-Stokes equations of compressible and heat-conductive fluid in bounded annular domains in \(\mathbb{R}^n\)
This page was built for publication: GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS FOR A 1D ISOTHERMAL VISCOUS GAS
