When does the free boundary enter into corner points of the fixed boundary?
Shahgholian, H. (2004)
Zapiski Nauchnykh Seminarov POMI
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Displaying similar documents to “On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem”
When does the free boundary enter into corner points of the fixed boundary?
A one-dimensional free boundary problem arising in combustion theory.
Antontsev, S.N., Meirmanov, A.M., Yurinsky, V.V. (2001)
Portugaliae Mathematica. Nova Série
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The behavior of the free boundary for the dam problem
Hans Wilhelm Alt, Gianni Gilardi (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A qualitative study on a parabolic free boundary problem.
W. Walter, R.C. Thompson (1991)
Mathematische Zeitschrift
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Free boundary regularity in Stefan type problems
Ioannis Athanasopoulos (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Regularity results of free boundaries for Stefan type problems are discussed. The influence that curvature may have on the behavior of the free boundary is studied and various open problems are also mentioned.
Qualitative properties of the free-boundary of the Reynolds equation in lubrication.
S. J. Alvarez (1989)
Publicacions Matemàtiques
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The hydrodynamic lubrication of a cylindrical bearing is governed by the Reynolds equation that must be satisfied by the pressure of lubricating oil. When cavitation occurrs we are carried to an elliptic free-boundary problem where the free-boundary separates the lubricated region from the cavited region. Some qualitative properties are obtained about the shape of the free-boundary as well as the localization of the cavited region.
Regularity of the free boundary for non degenerate phase transition problems of parabolic type
L. Fornari (2000)
Rendiconti del Seminario Matematico della Università di Padova
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A continuity result for a quasilinear elliptic free boundary problem
Abdeslem Lyaghfouri (2020)
Applications of Mathematics
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We investigate a two dimensional quasilinear free boundary problem, and show that the free boundary is a union of graphs of continuous functions.
On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
Paola Pietra, Claudio Verdi (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Si discretizza il problema dell'ostacolo parabolico con differenze all'indietro nel tempo ed elementi finiti lineari nello spazio e si dimostrano stime dell'errore per la frontiera libera discreta.
Understanding singularitiesin free boundary problems
Xavier Ros-Oton, Joaquim Serra (2019)
Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana
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Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfacesor boundaries. The most classical example is the melting of ice to water (the Stefan problem). In this case, the freeboundary is the liquid-solid interface between ice and water. A central mathematical challenge in this context is to understand the regularity and singularities of free boundaries. In this paper we provide a gentle introduction to this topic by presenting some classical results...