Results 21 to 30 of about 1,111,656 (279)
On the Optimal Control of the Free Boundary Problems for the Second Order Parabolic Equations. I.Well-posedness and Convergence of the Method of Lines [PDF]
, 2012 We develop a new variational formulation of the inverse Stefan problem, where information on the heat flux on the fixed boundary is missing and must be found along with the temperature and free boundary.
Mezzan, Youness, Tber, Moulay Hicham
core +4 more sources
Two-Phase Free Boundary Problems: From Existence to Smoothness
Advanced Nonlinear Studies, 2017 We describe the theory we developed in recent times concerning two-phasefree boundary problems governed by elliptic operators with forcing terms.Our results range from existence of viscosity solutions to smoothness ofboth solutions and free boundaries ...
De Silva Daniela +2 more
doaj +1 more source
Compactness estimates for minimizers of the Alt-Phillips functional of negative exponents
Advanced Nonlinear Studies, 2023 We investigate the rigidity of global minimizers u≥0u\ge 0 of the Alt-Phillips functional involving negative power potentials ∫Ω(∣∇u∣2+u−γχ{u>0})dx,γ∈(0,2),\mathop{\int }\limits_{\Omega }(| \nabla u{| }^{2}+{u}^{-\gamma }{\chi }_{\left\{u\gt 0\right\}}){\
De Silva Daniela, Savin Ovidiu
doaj +1 more source
A class of unstable free boundary problems [PDF]
, 2016 We consider the free boundary problem arising from an energy functional which is the sum of a Dirichlet energy and a nonlinear function of either the classical or the fractional perimeter.
Dipierro, Serena +2 more
core +3 more sources
Nonlinear Two-Phase Stefan Problem [PDF]
Journal of Sciences, Islamic Republic of Iran, 2007 In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.
K. Ivaz
doaj
Solving boundary value problems in the open source software R: package bvpSolve [PDF]
Opuscula Mathematica, 2014 The R package bvpSolve for the numerical solution of Boundary Value Problems (BVPs) is presented. This package is free software which is distributed under the GNU General Public License, as part of the R open source software project.
Francesca Mazzia +2 more
doaj +1 more source
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
Concavity properties for free boundary elliptic problems
, 2010 We prove some concavity properties connected to nonlinear Bernoulli type free boundary problems. In particular, we prove a Brunn-Minkowski inequality and an Urysohn's type inequality for the Bernoulli Constant and we study the behaviour of the free ...
Bianchini, C., Salani, P.
core +1 more source
Free boundary problems for Tumor Growth: a Viscosity solutions approach [PDF]
, 2015 The mathematical modeling of tumor growth leads to singular stiff pressure law limits for porous medium equations with a source term. Such asymptotic problems give rise to free boundaries, which, in the absence of active motion, are generalized Hele-Shaw
Alt +14 more
core +6 more sources
On a variational principle for shape optimization and elliptic free boundary problems
Revista de Matemática: Teoría y Aplicaciones, 2009 A variational principle for several free boundary value problems using a relaxation approach is presented. The relaxed Energy functional is concave and it is defined on a convex set, so that the minimizing points are characteristic functions of sets.
Raúl B. González De Paz
doaj +1 more source