Results 11 to 20 of about 700 (91)
Boundary layer analysis for a 2-D Keller-Segel model
Open Mathematics, 2020 We study the boundary layer problem of a Keller-Segel model in a domain of two space dimensions with vanishing chemical diffusion coefficient. By using the method of matched asymptotic expansions of singular perturbation theory, we construct an accurate ...
Meng Linlin, Xu Wen-Qing, Wang Shu
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Controlled Drug Release Asymptotics [PDF]
, 1998 The solution of Higushi's model for controlled release of drugs is examined when the solubility of the drug in the polymer matrix is a prescribed function of time. A time-dependent solubility results either from an external control or from a change in pH
Cohen, Donald S., Erneux, Thomas
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Moderately close Neumann inclusions for the Poisson equation [PDF]
, 2018 open2siWe investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ϱ1 and ϱ2 are two positive parameters, we define a perforated domain Ω(ϱ1,ϱ2) by making two small perforations ...
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Bubble concentration on spheres for supercritical elliptic problems [PDF]
, 2013 We consider the supercritical Lane-Emden problem $$(P_\eps)\qquad -\Delta v= |v|^{p_\eps-1} v \ \hbox{in}\ \mathcal{A} ,\quad u=0\ \hbox{on}\ \partial\mathcal{A} $$ where $\mathcal A$ is an annulus in $\rr^{2m},$ $m\ge2$ and $p_\eps={(m+1)+2\over(m+1)
A Bahri +15 more
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Derivation of a Hele-Shaw type system from a cell model with active motion [PDF]
, 2014 We formulate a Hele-Shaw type free boundary problem for a tumor growing under the combined effects of pressure forces, cell multiplication and active motion, the latter being the novelty of the present paper.
Perthame, Benoît +3 more
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Continuum limits of particles interacting via diffusion
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 215-237, 2004., 2004 We consider a two‐phase system mainly in three dimensions and we examine the coarsening of the spatial distribution, driven by the reduction of interface energy and limited by diffusion as described by the quasistatic Stefan free boundary problem. Under the appropriate scaling we pass rigorously to the limit by taking into account the motion of the ...
Nicholas D. Alikakos +2 more
wiley +1 more source
Advanced Nonlinear Studies, 2019 This paper studies a singular perturbation result for a class of generalized diffusive logistic equations, dℒu=uh(u,x){d\mathcal{L}u=uh(u,x)}, under non-classical mixed boundary conditions, ℬu=0{\mathcal{B}u=0} on ∂Ω{\partial\Omega}.
Fernández-Rincón Sergio +1 more
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Boundary Value Problems, 2012 In this article, we mainly construct multiple blowing-up and concentrating solutions for a class of Liouville-type equations under mixed boundary conditions: -Δv=ε2ev-4π∑i=1Nαiδpi,inΩ,ε(1-t)∂v∂ν+tb(x)v=0,on∂Ω, for ε small, where t∈(0,1],N∈ℕ∪{0},{α1,α2 ...
Yibin Chang, Hai-tao Yang
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An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems [PDF]
, 1995 In the context of analyzing a new model for nonlinear diffusion in polymers, an unusual condition appears at the moving interface between the glassy and rubbery phases of the polymer.
Cohen, D. S., Edwards, D. A.
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Asymptotic solutions of diffusion models for risk reserves
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 35, Page 2221-2239, 2003., 2003 We study a family of diffusion models for risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. After we defined the process of the conditional probability of ruin over finite time and imposed the appropriate boundary conditions, classical results from the theory of diffusion processes turn the
S. Shao
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