Results 31 to 40 of about 1,011,292 (311)
Boundary regularity for the free boundary in the one-phase problem [PDF]
New Developments in the Analysis of Nonlocal
Operators, 2017 We consider the Bernoulli one-phase free boundary problem in a domain $\Omega$ and show that the free boundary $F$ is $C^{1,1/2}$ regular in a neighborhood of the fixed boundary $\partial \Omega$.
Héctor A. Chang‐Lara, O. Savin
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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
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Regularity of the free boundary for the vectorial Bernoulli problem [PDF]
Analysis & PDE, 2018 In this paper we study the regularity of the free boundary for a vector-valued Bernoulli problem, with no sign assumptions on the boundary data. More precisely, given an open, smooth set of finite measure $D\subset \mathbb{R}^d$, $\Lambda>0$ and ...
Dario Mazzoleni +2 more
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Multidimensional transonic shock waves and free boundary problems
Bulletin of Mathematical Sciences, 2022 We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
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A free boundary problem for an attraction–repulsion chemotaxis system
Boundary Value Problems, 2018 In this paper we study an attraction–repulsion chemotaxis system with a free boundary in one space dimension. First, under some conditions, we investigate existence, uniqueness and uniform estimates of the global solution.
Weiyi Zhang, Zuhan Liu, Ling Zhou
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Higher Critical Points in an Elliptic Free Boundary Problem
, 2018 We study higher critical points of the variational functional associated with a free boundary problem related to plasma confinement. Existence and regularity of minimizers in elliptic free boundary problems have already been studied extensively.
D. Jerison, K. Perera
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Open Mathematics, 2015 We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained.
Semerdjieva Rossitza
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On the controllability of a free-boundary problem for the 1D heat equation
Systems & control letters (Print), 2016 This paper deals with the local null control of a free-boundary problem for the classical 1D heat equation with distributed controls, locally supported in space.
E. Fernández-Cara +2 more
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Free boundary value problem for compressible magnetohydrodynamic equations
Electronic Journal of Differential Equations, 2020 In this article we consider a free boundary value problem for barotropic compressible magnetohydrodynamic equations with density-dependent viscosity coefficients.
Huihui Kong, Ruxu Lian
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A free boundary problem for the -Laplacian [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 We consider the optimization problem of minimizing $\int_Ω|\nabla u|^{p(x)}+ λχ_{\{u>0\}} dx$ in the class of functions $W^{1,p(\cdot)}(Ω)$ with $u-ϕ_0\in W_0^{1,p(\cdot)}(Ω)$, for a given $ϕ_0\geq 0$ and bounded. $W^{1,p(\cdot)}(Ω)$ is the class of weakly differentiable functions with $\int_Ω|\nabla u|^{p(x)} dx0\}$, is a regular surface.
Fernandez Bonder, Julian +2 more
openaire +4 more sources