Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Choi, Sunhi"'
We prove the global-time existence of weak solutions to the supercooled Stefan problem. Our result holds in general space dimensions and with a general class of initial data. In addition, our solution is maximal in the sense of a certain stochastic o
Externí odkaz:
http://arxiv.org/abs/2402.17154
Autor:
Abrams, Rubin, Choi, Sunhi
We study a parabolic free boundary problem, arising from a model for the propagation of equi-diffusional premixed flames with high activation energy. If an initial data is compactly supported, then the solution vanishes in a finite time, called the e
Externí odkaz:
http://arxiv.org/abs/1911.06916
Autor:
Choi, Sunhi, Kim, Inwon
We consider a nonlinear Neumann problem, with periodic oscillation in the elliptic operator and on the boundary condition. Our focus is on problems posed in half-spaces, but with general normal directions that may not be parallel to the directions of
Externí odkaz:
http://arxiv.org/abs/1911.06909
Autor:
Choi Sunhi, Kim Inwon C.
Publikováno v:
Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 293-332 (2023)
We consider a nonlinear Neumann problem, with periodic oscillation in the elliptic operator and on the boundary condition. Our focus is on problems posed in half-spaces, but with general normal directions that may not be parallel to the directions of
Externí odkaz:
https://doaj.org/article/73b2ab6aa47b400aa04333a647e07728
Autor:
Choi, Sunhi, Kim, Inwon
In this article we investigate averaging properties of fully nonlinear PDEs in bounded domains with oscillatory Neumann boundary data. The oscillation is periodic and is present both in the operator and in the Neumann data. Our main result states tha
Externí odkaz:
http://arxiv.org/abs/1302.5386
Autor:
Choi, Sunhi, Kim, Inwon
We investigate the regularizing behavior of two-phase Stefan problem near initial data. The main step in the analysis is to establish that in any given scale, the scaled solution is very close to a Lipschitz profile in space-time. We introduce a new
Externí odkaz:
http://arxiv.org/abs/1012.1277
Autor:
Choi, Sunhi, Kim, Inwon C.
Publikováno v:
In Journal de mathématiques pures et appliquées August 2014 102(2):419-448
Autor:
Choi, Sunhi, Kim, Inwon C.
Publikováno v:
American Journal of Mathematics, 2010 Dec 01. 132(6), 1693-1727.
Externí odkaz:
https://www.jstor.org/stable/40931053
Publikováno v:
Transactions of the American Mathematical Society, 2009 Oct 01. 361(10), 5111-5137.
Externí odkaz:
https://www.jstor.org/stable/40302732
Publikováno v:
Indiana University Mathematics Journal, 2009 Jan 01. 58(6), 2765-2804.
Externí odkaz:
https://www.jstor.org/stable/24903312