Weak solutions for some compressible multicomponent fluid models
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Publication:2296909
DOI10.1007/s00205-019-01424-2zbMath1434.35062arXiv1802.00798OpenAlexW3102824030MaRDI QIDQ2296909
Antonin Novotny, Milan Pokorný
Publication date: 18 February 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00798
Navier-Stokes equations (35Q30) Three or more component flows (76T30) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of weak solutions for compressible Navier-Stokes equations with entropy transport
- Compressible Navier-Stokes equations with a non-monotone pressure law
- Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids
- Stability result for Navier-Stokes equations with entropy transport
- Ordinary differential equations, transport theory and Sobolev spaces
- Global existence of weak solutions for a viscous two-phase model
- Global existence of weak solutions for compressible Navier-Stokes equations: thermodynamically unstable pressure and anisotropic viscous stress tensor
- Finite-energy solutions for compressible two-fluid Stokes system
- Global weak solution to the viscous two-fluid model with finite energy
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- On singular limits arising in the scale analysis of stratified fluid flows
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid
- Singular limits in thermodynamics of viscous fluids
- On the existence of globally defined weak solutions to the Navier-Stokes equations
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