Existence of weak solutions for porous medium equation with a divergence type of drift term in a bounded domain
DOI10.1016/j.jde.2024.01.028arXiv2306.08237OpenAlexW4391374066WikidataQ129123009 ScholiaQ129123009MaRDI QIDQ6123031
Hwa Kil Kim, Kyungkeun Kang, Sukjung Hwang
Publication date: 4 March 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.08237
Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) General biology and biomathematics (92B05) Quasilinear parabolic equations (35K59) Fokker-Planck equations (35Q84)
Cites Work
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- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- Hölder continuity of Keller-Segel equations of porous medium type coupled to fluid equations
- Degenerate parabolic equations
- Lack of uniqueness for weak solutions of the incompressible porous media equation
- Global existence and boundedness in a higher-dimensional quasilinear chemotaxis system
- Compact sets in the space \(L^ p(0,T;B)\)
- Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
- Continuity results for degenerate diffusion equations with \(L_t^p L_x^q\) drifts
- Paralinearization of the Muskat equation and application to the Cauchy problem
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Endpoint Sobolev theory for the Muskat equation
- Existence of weak solutions for porous medium equation with a divergence type of drift term
- Regularity of solutions to the Muskat equation
- Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion
- Regularity Properties of Degenerate Diffusion Equations with Drifts
- Existence of Weak Solutions in Wasserstein Space for a Chemotaxis Model Coupled to Fluid Equations
- Optimal Transport
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