Results 31 to 40 of about 1,924,298 (375)
Some infinite free boundary problems [PDF]
Transactions of the American Mathematical Society, 1979 Let Γ \Gamma be the boundary of an unbounded simply connected region D \mathcal {D} , and let C ( Γ ) \mathcal {C}(\Gamma ) denote the family of all simply connected regions Δ ⊂ D \Delta ...
Tepper, David E., Wildenberg, Gerald
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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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Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations
Electronic Research Archive, 2022 We survey some recent results related to free boundary problems of incompressible ideal magnetohydrodynamics equations, and present the main ideas in the proofs of the ill-posedness in 2D when the Taylor sign condition is violated given [1], and the well-
Chengchun Hao, Tao Luo
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Geometry of the free-sliding Bernoulli beam [PDF]
, 2016 If a variational problem comes with no boundary conditions prescribed beforehand, and yet these arise as a consequence of the variation process itself, we speak of a free boundary values variational problem.
Moreno, Giovanni, Stypa, Monika Ewa
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A Nonlocal Free Boundary Problem [PDF]
SIAM Journal on Mathematical Analysis, 2015 Given~$s, \in(0,1)$ and a bounded domain~$ \subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $ $-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus( ^c)^2) } + \Per_ \left(\{u>0\}, \right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_ $ is the fractional perimeter.
S. Dipierro, O. Savin, E. Valdinoci
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Free Boundary Formulation for BVPs on a Semi-Infinite Interval and Non-Iterative Transformation Methods [PDF]
, 2014 This paper is concerned with two examples on the application of the free boundary formulation to BVPs on a semi-infinite interval. In both cases we are able to provide the exact solution of both the BVP and its free boundary formulation. Therefore, these
Fazio, Riccardo
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A free boundary focusing problem [PDF]
Proceedings of the American Mathematical Society, 1994 We consider a one-dimensional free boundary problem arising in combustion theory and establish that all solutions are asymptotically equal to a similarity solution which vanishes in a finite time.
Hilhorst, Danielle, Hulshof, Josephus
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Two-Phase Anisotropic Free Boundary Problems and Applications to the Bellman Equation in 2D [PDF]
, 2016 We prove Lipschitz continuity of solutions to a class of rather general two-phase anisotropic free boundary problems in 2D and we classify global solutions.
Luis Caffarelli +2 more
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Recent progresses on elliptic two-phase free boundary problems
Discrete and Continuous Dynamical Systems. Series A, 2019 We provide an overview of some recent results about the regularity of the solution and the free boundary for so-called two-phase free boundary problems driven by uniformly elliptic equations.
D. Silva, F. Ferrari, S. Salsa
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Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics [PDF]
SIAM Journal on Mathematical Analysis, 2015 We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling modelling receptor-ligand dynamics. The model arises as a simplification of a mathematical model for the reaction between cell surface resident receptors ...
C. M. Elliott +2 more
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