Results 31 to 40 of about 9,988,559 (299)
Existence of solution of a free boundary problem for reaction-diffusion systems
Современная математика: Фундаментальные направления, 2022 In this paper, we prove the existence of solution of a novel free boundary problem for reaction-diffusion systems describing growth of biological tissues due to cell influx and proliferation.
G. A. Younes +2 more
doaj +1 more source
Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
core +5 more sources
Free boundary problems in biology [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 In this paper, I review several free boundary problems that arise in the mathematical modelling of biological processes. The biological topics are quite diverse: cancer, wound healing, biofilms, granulomas and atherosclerosis. For each of these topics, I describe the biological background and the mathematical model, and then proceed to state ...
openaire +3 more sources
Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data [PDF]
, 2013 We apply the trial method for the solution of Bernoulli’s free boundary problem when the Dirichlet boundary condition is imposed for the solution of the underlying Laplace equation and the free boundary is updated according to the Neumann boundary ...
Giannoula Mitrou +3 more
core +1 more source
Perturbation in a Free Boundary Problem
Journal of Mathematical Analysis and Applications, 1994 This paper is concerned with the Dirichlet boundary value problem for a semilinear elliptic partial differential equation with a discontinuous nonlinearity on the unit ball \(B\) in \(\mathbb{R}^2\). Precisely, the authors consider the problem for \(u\) with two positive parameters \(\lambda\) and \(\varepsilon\): \[ - \Delta u= (\lambda+ \varepsilon g(
Boucherif, Abdelkader, Bouguima, Mohamed
openaire +2 more sources
A continuity result for a quasilinear elliptic free boundary problem [PDF]
, 1994 summary:We investigate a two dimensional quasilinear free boundary problem, and show that the free boundary is a union of graphs of continuous ...
Álvarez Contreras, Jesús +2 more
core +1 more source
Improved trial methods for a class of generalized Bernoulli problems [PDF]
, 2013 The aim of this article is to develop improved trial methods for the solution of a generalized exterior Bernoulli free boundary problem. At the free boundary, we prescribe the Neumann boundary condition and update the free boundary with the help of the ...
Mitrou, Giannoula, Harbrecht, Helmut
core +1 more source
A free boundary problem with nonlinear jump and kinetics on the free boundaries [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 1999 A free boundary problem with nonlinear jump and kinetics on the free boundaries \[ \begin{cases} \Delta u=0\quad & \text{in }\Omega_1(t)=\{(x,y)\in\mathbb{R}^2: g_2(x,t)
openaire +2 more sources
A free boundary problem for binary fluids
, 2021 A free boundary problem for the dynamics of a glasslike binary fluid naturally leads to a singular perturbation problem for a strongly degenerate parabolic partial differential equation in 1D.
Deangelis F. +5 more
core +1 more source
Regularity of the free boundary in the one-phase Stefan problem: a recent approach
Bruno Pini Mathematical Analysis Seminar, 2022 In this note, we discuss about the regularity of the free boundary for the solutions of the one-phase Stefan problem. We start by recalling the classical results achieved by I. Athanasopoulos, L. Caffarelli, and S.
Nicolò Forcillo
doaj +1 more source