Affiliation:
1. Universidad de Tarapacá
Abstract
In this paper we analyze a parabolic-elliptic chemo-repulsion system with superlinear production term in two-dimensional domains. Under the injection extract chemical substance on a subdomain $\omega\subset\Omega\subset\mathbb{R}^2$, we prove the existence and uniqueness of global-in-time strong solutions at finite time.
Funder
FONDECYT de Iniciación, ANID-Chile
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
Reference23 articles.
1. [1] R. Adams, Sobolev spaces, Academic Press, New York, 1975.
2. [2] H. Brézis, Functional analysis, Sobolev spaces and partial differential equations,
Springer, New York, 2011.
3. [3] T. Ciéslak, P. Laurençot and C. Morales-Rodrigo, Global existence and convergence
to steady states in a chemorepulsion system, Parabolic and Navier-Stokes Equations, Part 1, Banach Center Publ., 81, Part 1, Polish Acad. Sci. Inst. Math., Warsaw, 105-117, 2008.
4. [4] E. Feireisl and A. Novotný, Singular limits in thermodynamics of viscous fluids. Ad- vances in Mathematical Fluid Mechanics, Birkhäuser Verlag, Basel, 2009.
5. [5] P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman Advanced Publishing Program, Boston, 1985.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献