\(L^1\)-theory for incompressible limit of reaction-diffusion porous medium flow with linear drift
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Publication:6667426
DOI10.1016/j.jde.2024.09.042MaRDI QIDQ6667426
Publication date: 20 January 2025
Published in: Journal of Differential Equations (Search for Journal in Brave)
Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Perturbations in context of PDEs (35B20) Quasilinear parabolic equations (35K59)
Cites Work
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- Congestion-driven dendritic growth
- Subsolutions for abstract evolution equations.
- Degenerate diffusion with a drift potential: a viscosity solutions approach
- Quasilinear elliptic-parabolic differential equations
- Entropy solutions for nonlinear degenerate problems
- Singular limit of changing sign solutions of the porous medium equation
- Uniqueness for nonlinear degenerate problems
- The mesa problem for Neumann boundary value problem.
- On uniqueness techniques for degenerate convection-diffusion problems
- \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
- The mesa-limit of the porous-medium equation and the Hele-Shaw problem
- Handling congestion in crowd motion modeling
- A Hele-Shaw limit without monotonicity
- Free boundary limit of a tumor growth model with nutrient
- Singular limit of the porous medium equation with a drift
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- Revising uniqueness for a nonlinear diffusion-convection equation
- A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
- A Density Dependent Diffusion Equation in Population Dynamics: Stabilization to Equilibrium
- Porous medium equation to Hele-Shaw flow with general initial density
- Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits
- Quasi-static evolution and congested crowd transport
- Uniqueness for inhomogeneous Dirichlet problem for elliptic–parabolic equations
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Limit of the solution of \(u_t-\Delta u^m+\operatorname{div} F(u)=0\) if \(m\to\infty\)
- Convergence of the porous media equation to Hele-Shaw
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
- L1-Theory for Hele-Shaw flow with linear drift
- On the incompressible limit for a tumour growth model incorporating convective effects
- Prediction-Correction Pedestrian Flow by Means of Minimum Flow Problem
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