A Parabolic Free Boundary Problem Arising in a Model of Cell Polarization
نویسندگان
چکیده
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 30 June 2020Accepted: 07 December 2020Published online: 23 February 2021KeywordsPDEs on surfaces, obstacle-type problem, stability steady statesAMS Subject Headings35R35, 35K86, 92C37, 35R01Publication DataISSN (print): 0036-1410ISSN (online): 1095-7154Publisher: Society for Industrial and Applied MathematicsCODEN: sjmaah
منابع مشابه
A free boundary problem arising in flame propagation
We study a free boundary problem describing the propagation of laminar flames. The problem arises as the limit of a singular perturbation problem. We introduce the notion of viscosity solutions for the problem to show the maximum principle-type property of the solutions. Using this property we show the uniform convergence of the approximating solutions and the uniqueness of the viscosity soluti...
متن کاملOn a Free Boundary Problem Arising in Plasma Physics
INTRODUCTION THE PROBLEM we study in this paper has its origin in plasma physics. It stems from a model describing the equilibrium of a plasma confined in a toroidal cavity (a “Tokamak machine”). For a detailed presentation of this model the reader is referred to [l, 21 and also to the appendix in [3]. Let 51 denote the meridian cross section of the cavity and Oz the axis of toroidal symmetry, ...
متن کاملA free boundary problem arising in PDE optimization
A free boundary problem arising from the optimal reinforcement of a membrane or from the reduction of traffic congestion is considered; it is of the form sup ∫ D θ dx=m inf u∈H1 0 (D) ∫ D (1 + θ 2 |∇u| − fu ) dx. We prove the existence of an optimal reinforcement θ and that it has some higher integrability properties. We also provide some numerical computations for θ and u.
متن کاملA free boundary problem arising in a model for shallow water entry at small deadrise angles
The impact of a rigid body on liquid is an important free boundary problem with applications ranging in scale from asteroid impact to droplet motion. The severe nonlinearities involved mean that even the basic problem in which the liquid is inviscid and incompressible, the flow starts from rest and is therefore irrotational, and the effects of gravity, surface tension and air cushioning are neg...
متن کاملBifurcation from stability to instability for a free boundary problem arising in a tumor model, I
Mathematical models of tumor growth, which consider the tumor tissue as a density of proliferating cells, have been developed and studied in many papers; see [2,3,5–9,14,17–20] and the references given there. Most of the models discuss the case of radially symmetric tumors. Since tumors grown in vitro have a nearly spherical shape, it is important to determine whether radially symmetric tumors ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2021
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/20m1349114