Singular limit of the porous medium equation with a drift

DOI10.1016/j.aim.2019.04.017zbMath1447.35333arXiv1708.05842OpenAlexW2963458951WikidataQ127970631 ScholiaQ127970631MaRDI QIDQ2419276

Norbert Požár, Brent Woodhouse, Inwon Christina Kim

Publication date: 29 May 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.05842

zbMATH Keywords

tumor growthporous medium equationsingular limitviscosity solutionsHele-Shaw problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27) Viscosity solutions to PDEs (35D40)

Related Items

Phase transitions for nonlinear nonlocal aggregation-diffusion equations, A Hele–Shaw Limit with a Variable Upper Bound and Drift, Tumor boundary instability induced by nutrient consumption and supply, Convergence rate for the incompressible limit of nonlinear diffusion-advection equations, On the incompressible limit for a tumour growth model incorporating convective effects, Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits, Porous medium equation with a drift: free boundary regularity, A Hele-Shaw limit without monotonicity, A tumor growth model of Hele-Shaw type as a gradient flow

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