Motion by crystalline-like mean curvature: a survey

Y Giga, N Požár - Bulletin of Mathematical Sciences, 2022 - World Scientific
Motion by crystalline-like mean curvature: A survey | Bulletin of Mathematical Sciences World
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Tumor growth with nutrients: Regularity and stability

M Jacobs, I Kim, J Tong - Communications of the American Mathematical …, 2023 - ams.org
In this paper, we study a tumor growth model with nutrients. The model presents dynamic
patch solutions due to the incompressibility of the tumor cells. We show that when the …

Level-set forced mean curvature flow with the Neumann boundary condition

J Jang, D Kwon, H Mitake, HV Tran - Journal de Mathématiques Pures et …, 2022 - Elsevier
Here, we study a level-set forced mean curvature flow with the homogeneous Neumann
boundary condition. We first show that the solution is Lipschitz in time and locally Lipschitz in …

Area-preserving anisotropic mean curvature flow in two dimensions

E Kim, D Kwon - Calculus of Variations and Partial Differential …, 2025 - Springer
We study the motion of sets by anisotropic curvature under a volume constraint in the plane.
We establish the exponential convergence of the area-preserving anisotropic flat flow to a …

Motion by crystalline-like mean curvature: a survey

Y Giga, N Požár - arXiv preprint arXiv:2112.05294, 2021 - arxiv.org
arXiv:2112.05294v1 [math.AP] 10 Dec 2021 Page 1 MOTION BY CRYSTALLINE-LIKE MEAN
CURVATURE: A SURVEY YOSHIKAZU GIGA AND NORBERT POZÁR Abstract. We consider a …

Further properties of viscosity solutions to some fully nonlinear partial differential equations

J Jang - 2024 - search.proquest.com
I present two research directions in this dissertation. The first direction is on further
properties of viscosity solutions to geometric equations, a part of which is about the mean …

[PDF][PDF] Level set numerical approach to anisotropic mean curvature flow on obstacle

SB Gavhale - 2022 - repository.kulib.kyoto-u.ac.jp
The thesis investigates multiphase geometric evolutions with direction dependent energy
densities and with global constraints on the enclosed volumes. This kind of problem has …