H-principle for the 2-dimensional incompressible porous media equation with viscosity jump
From MaRDI portal
Publication:2128853
DOI10.2140/apde.2022.15.429zbMath1490.35340OpenAlexW4224238087WikidataQ114045425 ScholiaQ114045425MaRDI QIDQ2128853
Publication date: 22 April 2022
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/apde.2022.15.429
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Turbulent transport, mixing (76F25) Weak solutions to PDEs (35D30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interface evolution: the Hele-Shaw and Muskat problems
- Weak solutions to the incompressible Euler equations with vortex sheet initial data
- Lack of uniqueness for weak solutions of the incompressible porous media equation
- The confined Muskat problem: differences with the deep water regime
- Convex integration for Lipschitz mappings and counterexamples to regularity
- The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results
- Hölder continuous solutions of active scalar equations
- A survey for the Muskat problem and a new estimate
- On the Muskat problem with viscosity jump: global in time results
- Degraded mixing solutions for the Muskat problem
- Piecewise constant subsolutions for the Muskat problem
- Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric
- A new approach to the Rayleigh-Taylor instability
- Mixing solutions for the Muskat problem
- The zero surface tension limit of two-dimensional interfacial Darcy flow
- Global existence, singular solutions, and ill-posedness for the Muskat problem
- Convex integration for a class of active scalar equations
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Partial Differential Relations
- Viscous displacement in porous media: the Muskat problem in 2D
- Relaxation of the incompressible porous media equation
- Well-posedness of two-phase Hele–Shaw flow without surface tension
This page was built for publication: H-principle for the 2-dimensional incompressible porous media equation with viscosity jump