Global existence of weak solutions for the Navier-Stokes equations with capillarity on the half-line
From MaRDI portal
Publication:640386
DOI10.1007/s00030-011-0104-7zbMath1231.35156OpenAlexW1994960692MaRDI QIDQ640386
Publication date: 18 October 2011
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-011-0104-7
Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Methods of ordinary differential equations applied to PDEs (35A24)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of global weak solution for compressible fluid models of Korteweg type
- Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
- Global existence and asymptotic convergence of weak solutions for the one-dimensional Navier-Stokes equations with capillarity and nonmonotonic pressure
- On the thermomechanics of interstitial working
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data
- Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Existence of solutions for compressible fluid models of Korteweg type
- The second gradient method for the direct numerical simulation of liquid-vapor flows with phase change.