Generalized solutions to models of compressible viscous fluids
DOI10.3934/dcds.2020345zbMath1460.35274arXiv1912.12896OpenAlexW3092976532MaRDI QIDQ2229238
Eduard Feireisl, Anna Abbatiello, Antonin Novotny
Publication date: 22 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.12896
compressible fluiddissipative solutiondefect measurenon-linear viscous fluidnon-homogenous boundary data
PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Navier-Stokes equations with nonhomogeneous boundary conditions in a bounded three-dimensional domain
- On the existence of local classical solutions for a class of one-dimensional compressible non-Newtonian fluids
- Boundedness of minimizers
- Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
- Measure-valued solution for non-Newtonian compressible isothermal monopolar fluid
- Global classical solution to a one-dimensional compressible non-Newtonian fluid with large initial data and vacuum
- Global solvability of the multidimensional Navier-Stokes equations of a compressible fluid with nonlinear viscosity. ~\text{I}
- On a class of generalized solutions to equations describing incompressible viscous fluids
- Solution semiflow to the isentropic Euler system
- Initial-boundary value problems for continuity equations with BV coefficients
- Global weak solutions to a class of non-Newtonian compressible fluids
- Compressible Navier--Stokes System with General Inflow-Outflow Boundary Data
- Isothermal Navier--Stokes Equations and Radon Transform
- Trace-Free Korn Inequalities in Orlicz Spaces
- Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
- Optimal Convergence for the Implicit Space‐Time Discretization of Parabolic Systems with p‐Structure
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