The self-similar solutions to full compressible Navier–Stokes equations without heat conductivity
DOI10.1142/S0218202519500465zbMath1425.35137arXiv1811.01810OpenAlexW2973062603WikidataQ127285089 ScholiaQ127285089MaRDI QIDQ4973276
Publication date: 3 December 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.01810
Navier-Stokes equations for incompressible viscous fluids (76D05) Thermodynamics in solid mechanics (74A15) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum
- Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities
- Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
- Well-posedness of 1-D compressible Euler-Poisson equations with physical 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
- A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum
- Local well-posedness of dynamics of viscous gaseous stars
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- On the first initial-boundary value problem of compressible viscous fluid motion
- Compressible Navier-Stokes equations with zero heat conductivity
- A problem with free boundary for the Navier-Stokes equations for a compressible fluid in the presence of surface tension
- Unique solvability of the initial boundary value problems for compressible viscous fluids.
- Vacuum states for compressible flow
- Expanding large global solutions of the equations of compressible fluid mechanics
- Compressible viscous flows in a symmetric domain with complete slip boundary: the nonlinear stability of uniformly rotating states with small angular velocities
- Global solutions to compressible Navier-Stokes equations with spherical symmetry and free boundary
- 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
- Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions
- Compressible flow with damping and vacuum
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- On blowup of classical solutions to the compressible Navier-Stokes equations
- Global resolution of the physical vacuum singularity for three-dimensional isentropic inviscid flows with damping in spherically symmetric motions
- Spreading of the free boundary of an ideal fluid in a vacuum
- On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
- On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem
- Evolution free boundary problem for equations of viscous compressible heat-conducting capillary fluids
- Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping
- Nonlinear Instability Theory of Lane-Emden Stars
- Well-posedness of Compressible Euler Equations in a Physical Vacuum
- Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Well-posedness for compressible Euler equations with physical vacuum singularity
- On Nonstationary Motion of a Compressible Barotropic Viscous Fluid with Boundary Slip Condition
- On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary
- On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface
- On local motion of a general compressible viscous heat conducting fluid bounded by a free surface
- Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- Interface Behavior of Compressible Navier--Stokes Equations with Vacuum
- A Model of Radiational Gaseous Stars
- Nonlinear Stability of Expanding Star Solutions of the Radially Symmetric Mass‐Critical Euler‐Poisson System
- Global-in-time smoothness of solutions to the vacuum free boundary problem for compressible isentropic Navier–Stokes equations
- On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
This page was built for publication: The self-similar solutions to full compressible Navier–Stokes equations without heat conductivity