Results 11 to 20 of about 64,698 (263)
A Free Boundary Problem with Facets [PDF]
Archive for Rational Mechanics and Analysis, 2018 38 pages, 2 ...
William M. Feldman, Charles K. Smart
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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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Crack Propagation as a Free Boundary Problem [PDF]
Physical Review Letters, 2007 A newly developed sharp interface model describes crack propagation by a phase transition process. We solve this free boundary problem numerically and obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic effects are taken into account.
Müller-Krumbhaar, H. +3 more
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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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Mathematics, 2023 The research on free surface flow is of great interest in fluid mechanics, with the primary task being the tracking and description of the motion of free surfaces.
Kaixuan Shao, Yinghan Wu, Suizi Jia
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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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On Plateau's Problem with Free Boundaries [PDF]
Proceedings of the National Academy of Sciences, 1945 Not ...
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A remark on memory effects in constrained fluid systems [PDF]
ESAIM: Proceedings and Surveys, 2020 The goal of this note is to put into perspective the recent results obtained on memory effects in partially congested fluid systems of Euler or Navier-Stokes type with former studies on free boundary obstacle problems and Hele-Shaw equations.
Perrin Charlotte
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Some Free Boundary Problems Arising in Rock Mechanics
Современная математика: Фундаментальные направления, 2018 В этой статье мы рассматриваем несколько физических процессов в механике горных пород, которые описываются задачами со свободной границей. Некоторые из них известны (задачи Муската), другие совершенно новые (подземное выщелачивание и динамика трещин в ...
A M Meirmanov, O V Galtsev, O A Galtseva
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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 ...
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