Results 11 to 20 of about 1,325,975 (331)
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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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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On the Optimal Control of the Free Boundary Problems for the Second Order Parabolic Equations. I.Well-posedness and Convergence of the Method of Lines [PDF]
, 2012 We develop a new variational formulation of the inverse Stefan problem, where information on the heat flux on the fixed boundary is missing and must be found along with the temperature and free boundary.
Mezzan, Youness, Tber, Moulay Hicham
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On a price formation free boundary model by Lasry & Lions: The Neumann problem [PDF]
, 2011 We discuss local and global existence and uniqueness for the price formation free boundary model with homogeneous Neumann boundary conditions introduced by Lasry & Lions in 2007.
Caffarelli, Luis A. +2 more
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On a free boundary problem and minimal surfaces [PDF]
, 2017 From minimal surfaces such as Simons' cone and catenoids, using refined Lyapunov-Schmidt reduction method, we construct new solutions for a free boundary problem whose free boundary has two components.
Liu, Yong, Wang, Kelei, Wei, Juncheng
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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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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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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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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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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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