On the well-posedness of the incompressible porous media equation in Triebel-Lizorkin spaces
DOI10.1186/1687-2770-2014-95zbMath1299.35246OpenAlexW2103474879WikidataQ59323960 ScholiaQ59323960MaRDI QIDQ477000
Publication date: 2 December 2014
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2014-95
well-posednessblow-up criterionTriebel-Lizorkin spaceFourier localizationincompressible porous media equationBony's paraproduct decomposition
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (1)
Cites Work
- Unnamed Item
- Lack of uniqueness for weak solutions of the incompressible porous media equation
- On the well-posedness of the ideal MHD equations in the Triebel-Lizorkin spaces
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Theory of function spaces
- On the Euler equations in the critical Triebel-Lizorkin spaces
- A maximum principle applied to quasi-geostrophic equations
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Incompressible flow in porous media with fractional diffusion
- Analytical behavior of two-dimensional incompressible flow in porous media
- On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation
- The quasi-geostrophic equation in the Triebel Lizorkin spaces
- Global Solutions of the 2D Dissipative Quasi-Geostrophic Equation in Besov Spaces
- On the well‐posedness of the Euler equations in the Triebel‐Lizorkin spaces
This page was built for publication: On the well-posedness of the incompressible porous media equation in Triebel-Lizorkin spaces
