Results 21 to 30 of about 1,924,298 (375)
Domain variation solutions for degenerate two phase free boundary problems
Mathematics in Engineering, 2021 We discuss the notion of domain variation solution for some degenerate elliptic two-phase free boundary problems as well as the viscosity definition of the problem when the operator is degenerate.
Aleksandr Dzhugan, Fausto Ferrari
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On a Casson Fluid Motion: Nonuniform Width Symmetric Channel and Peristaltic Flows
Fluids, 2021 Widely used for modeling biological fluids flows—in particular, blood vessel flows—a Casson flow is studied in a symmetric channel for which the aspect ratio enables one to use the lubrication approximation.
Simone Guadagni +3 more
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Existence and uniqueness of solutions of free boundary problems in heterogeneous environments
Discrete & Continuous Dynamical Systems - B, 2019 In this short paper we study the existence and uniqueness of solutions of free boundary problems coming from ecology in heterogeneous environments.
Mingxin Wang
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An Epiperimetric Inequality for the Regularity of Some Free Boundary Problems: The 2‐Dimensional Case [PDF]
Communications on Pure and Applied Mathematics, 2016 Using a direct approach, we prove a two‐dimensional epiperimetric inequality for the one‐phase problem in the scalar and vectorial cases and for the double‐phase problem.
L. Spolaor, B. Velichkov
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Free boundary methods and non-scattering phenomena [PDF]
Research in the Mathematical Sciences, 2021 We study a question arising in inverse scattering theory: given a penetrable obstacle, does there exist an incident wave that does not scatter? We show that every penetrable obstacle with real-analytic boundary admits such an incident wave.
M. Salo, H. Shahgholian
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Free boundary regularity in obstacle problems [PDF]
, 2018 These notes record and expand the lectures for the `Journ\'ees \'Equations aux D\'eriv\'ees Partielles 2018' held by the author during the week of June 11-15, 2018.
A. Figalli
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Schrödinger-type identity for Schrödinger free boundary problems
Boundary Value Problems, 2018 Our aim in this paper is to develop a Schrödinger-type identity for a Schrödinger free boundary problem in Rn $\mathbb{R}^{n}$. As an application, we establish necessary and sufficient conditions for the product of some distributional functions to ...
Xingjian Zhang +4 more
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Lipschitz regularity of solutions to two-phase free boundary problems [PDF]
, 2017 We prove Lipschitz continuity of viscosity solutions to a class of two-phase free boundary problems governed by fully nonlinear operators.
D. Silva, 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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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
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