Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem.
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Error control and adaptivity for a phase relaxation model
Zhiming Chen, Ricardo H. Nochetto, Alfred Schmidt (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Error Control and Andaptivity for a Phase Relaxation Model
Zhiming Chen, Ricardo H. Nochetto, Alfred Schmidt (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The phase relaxation model is a diffuse interface model with small parameter ε which consists of a parabolic PDE for temperature θ and an ODE with double obstacles for phase variable χ. To decouple the system a semi-explicit Euler method with variable step-size τ is used for time discretization, which requires the stability constraint τ ≤ ε. Conforming piecewise linear finite elements over highly graded simplicial meshes with parameter h are further employed for space discretization. A posteriori...
Error Estimates for a Semi-Explicit Numerical Scheme for Stefan-Type Problems.
Claudio Verdi, Augusto Visintin (1987/1988)
Numerische Mathematik
Error estimates for Euler forward scheme related to two-phase Stefan problems
G. Amiez, P.-A. Gremaud (1992)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Error estimates of a fully discrete linear approximation scheme for Stefan problem.
Handlovičová, Angela (1996)
Acta Mathematica Universitatis Comenianae. New Series
Error estimates on homogenization of free boundary velocities in periodic media
Inwon C. Kim (2009)
Annales de l'I.H.P. Analyse non linéaire
Estimation of the conductivity in the one-phase Stefan problem : numerical results
K. Kunisch, K. A. Murphy, G. Peichl (1993)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Étude du nombre de solutions pour une classe d'équations elliptiques non-linéaires qui se prolongent en problèmes à frontière libre
Michel Misiti (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Exact solutions for nonclassical Stefan problems.
Briozzo, Adriana C., Tarzia, Domingo A. (2010)
International Journal of Differential Equations
Existence and approximation results for gradient flows
Riccarda Rossi, Giuseppe Savaré (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
This note addresses the Cauchy problem for the gradient flow equation in a Hilbert space
Existence and geometric properties of solutions of a free boundary problem in potential theory.
Björn Gustafsson, Henrik Shahgholian (1995)
Journal für die reine und angewandte Mathematik
Existence and multiplicity of solutions to elliptic problems with discontinuities and free boundary conditions.
Bensid, Sabri, Bouguima, Sidi Mohammed (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Existence and regularity for a minimum problem with free boundary.
H.W. Alt, L.A. Caffarelli (1981)
Journal für die reine und angewandte Mathematik
Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.
Boldrini, José Luiz, Dias Vaz, Cristina Lúcia (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Existence and uniqueness for one-phase Stefan problems of nonclassical heat equations with temperature boundary condition at a fixed face.
Briozzo, Adriana C., Tarzia, Domingo A. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
W. M. Zajączkowski (1995)
Annales Polonici Mathematici
We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Existence of solution for a free boundary problem in a nonlinear piecewise homogeneous medium
A. Bermúdez, M. C. Muniz, P. Quintela (1998)
Annales de l'I.H.P. Analyse non linéaire
Existence of solution to transpiration control problem.
Zhu, Guangtian, Wu, Jingang, Liang, Benzhong, Ji, Xinhua, Yang, Xueshi (1992)
Journal of Applied Mathematics and Stochastic Analysis
Existence of solutions for the one-phase and the multi-layer free-boundary problems with the -Laplacian operator.
Ly, Idrissa, Seck, Diaraf (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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