Global well-posedness of non-heat conductive compressible Navier–Stokes equations in 1D
From MaRDI portal
Publication:5019836
DOI10.1088/1361-6544/ab6c7bzbMath1497.35379arXiv1908.00514OpenAlexW3100183983MaRDI QIDQ5019836
Publication date: 11 January 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00514
PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Viscous-inviscid interaction for compressible fluids and gas dynamics (76N17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity ⋮ Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data ⋮ The Cauchy Problem for the \(\boldsymbol{N}\)-Dimensional Compressible Navier–Stokes Equations without Heat Conductivity ⋮ Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions ⋮ Decay of strong solution for the compressible Navier-Stokes equations with large initial data ⋮ Existence of global strong solutions for a reduced gravity two-and-a-half layer model ⋮ Global strong solutions for viscous radiative gas with degenerate temperature dependent heat conductivity in one-dimensional unbounded domains ⋮ 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
- Unnamed Item
- Unnamed Item
- Some uniform estimates and large-time behavior of solutions to one-dimensional compressible Navier-Stokes system in unbounded domains with large data
- Remarks on one-dimensional compressible Navier-Stokes equations with density-dependent viscosity and vacuum
- On the uniqueness of compressible fluid motions
- Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
- Existence results for viscous polytropic fluids with vacuum
- Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids
- Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
- Cauchy problem for viscous gas equations
- An existence theorem for compressible viscous fluids
- A correction to the paper: An existence theorem for compressible viscous fluids
- Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Decay estimates for the compressible Navier-Stokes equations in unbounded domains
- On the first initial-boundary value problem of compressible viscous fluid motion
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Stability of generalized solutions to equations of one-dimensional motion of viscous heat-conducting gases
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
- On stability of generalized solutions to the equations of one-dimensional motion of a viscous heat conducting gas
- Unique solvability of the initial boundary value problems for compressible viscous fluids.
- Vacuum states for compressible flow
- Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations
- Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations
- Optimal decay estimates in the critical \(L^{p}\) framework for flows of compressible viscous and heat-conductive gases
- Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain
- On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces
- Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
- Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum
- On blowup of classical solutions to the compressible Navier-Stokes equations
- On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
- Global Classical Large Solutions to Navier--Stokes Equations for Viscous Compressible and Heat-Conducting Fluids with Vacuum
- Global Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large Data
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations
- Global existence and asymptotic behavior of weak solutions to the 1D compressible Navier–Stokes equations with degenerate viscosity coefficient
- An existence theorem for compressible viscous and heat conducting fluids
- Global existence of small solutions to a class of nonlinear evolution equations
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- Global solutions of the compressible navier-stokes equations with larger discontinuous initial data
- Global well-posedness of the Cauchy problem for the equations of a one-dimensional viscous heat-conducting gas with Lebesgue initial data
- Global Solutions to the Isentropic Compressible Navier--Stokes Equations with a Class of Large Initial Data
- Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow
- Global Well-Posedness of the One-Dimensional Compressible Navier--Stokes Equations with Constant Heat Conductivity and Nonnegative Density
- On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
- ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS
- On the motion of a viscous, compressible, and heat conducting fluid
- Le problème de Cauchy pour les équations différentielles d'un fluide général
- Global existence in critical spaces for flows of compressible viscous and heat-conductive gases
- On the existence of globally defined weak solutions to the Navier-Stokes equations
