Results 21 to 30 of about 9,988,559 (299)
Regularity results for a quasilinear free boundary problem
Mathematical Modelling and Analysis, 2020 In this paper we prove local interior and boundary Lipschitz continuity of the solutions of a quasilinear free boundary problem. We also show that the free boundary is the union of graphs of lower semi-continuous functions.
Samia Challal, Abdeslem Lyaghfouri
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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 Multistable Type of Free Boundary Problem with a Flux at the Boundary
Advances in Mathematical Physics, 2023 This paper studies the free boundary problem of a multistable equation with a Robin boundary condition, which may be used to describe the spreading of the invasive species with the solution representing the density of species and the free boundary ...
Haitao Ren, Jingjing Cai, Li Xu
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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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Trial methods for Bernoulli's free boundary problem [PDF]
, 2014 Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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A second order convergent trial method for a free boundary problem in three dimensions [PDF]
, 2015 The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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Analysis of a multiphase free boundary problem [PDF]
Opuscula MathematicaIn this paper, we investigate a free boundary problem relevant in several applications, such as tumor growth models. Our problem is expressed as an elliptic equation involving discontinuous nonlinearities in a specified domain with a moving boundary.
Ahlem Abdelouahab, Sabri Bensid
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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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Boundary-value problem with free boundary: zirconium alloy hydrogenation
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2016 One of the most important requirements for the reactor’s active zone materials (made of zirconium alloys) is low hydrogen absorptivity since hydrogen embrittlement may cause zirconium cladding damage.
Yury Zaika, Natalia Rodchenkova
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Forced water entry and exit of two-dimensional bodies through a free surface [PDF]
, 2014 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The forced water entry and exit of two-dimensional bodies through a free surface is computed for various 2D bodies (symmetric wedges, asymmetric wedges ...
Rasadurai, Rajavaheinthan
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