Results 241 to 250 of about 1,111,656 (279)
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2017
Obstacle and contact problems leading to variational inequalities as well as models for porous media are studied. A main theme is phase transitions appearing in the context of solidification processes. Finally, also free boundary problems in fluid dynamics are considered.
Christof Eck +2 more
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Obstacle and contact problems leading to variational inequalities as well as models for porous media are studied. A main theme is phase transitions appearing in the context of solidification processes. Finally, also free boundary problems in fluid dynamics are considered.
Christof Eck +2 more
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Axisymmetric free boundary problems
Journal of Fluid Mechanics, 1997We present a number of three-dimensional axisymmetric free boundary problems for two immiscible fluids, such as air and water. A level set method is used where the interface is the zero level set of a continuous function while the two fluids are solutions of the incompressible Navier–Stokes equation.
Sussman, Mark, Smereka, Peter
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Time Dependent Free Boundary Problems
SIAM Review, 1979Recent results on the existence and continuity of solutions, and on the shape and smoothness of the free boundary are described for the following problems: (a) the flow of liquid in a dam with time...
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1993
Abstract The equations derived thus far combine to form an important free-boundary problem for the temperature. The differential equation to be satisfied in bulk is balance of energy supplemented by the constitutive equations (cf. (14.27)): [eq]The evolving interface forms a free boundary, and the corresponding free-boundary conditions ...
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Abstract The equations derived thus far combine to form an important free-boundary problem for the temperature. The differential equation to be satisfied in bulk is balance of energy supplemented by the constitutive equations (cf. (14.27)): [eq]The evolving interface forms a free boundary, and the corresponding free-boundary conditions ...
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Free Boundary Problem of Magnetohydrodynamics
Journal of Mathematical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Free Boundary Optimization Problem
SIAM Journal on Mathematical Analysis, 1978Given a convex set $Q \subset R^2 $ (bounded by a simple closed curve) and a constant $A > 0$, we determine the doubly-connected region $\Omega $ encircling (but not intersecting) Q, with area $| \Omega | \leqq A$, which has the least capacitance.
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2019
One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator.- Existence and Uniqueness Results for Quasi-linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions.- Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation.- Parabolic Equations with Anisotropic Nonstandard Growth Conditions ...
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One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator.- Existence and Uniqueness Results for Quasi-linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions.- Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation.- Parabolic Equations with Anisotropic Nonstandard Growth Conditions ...
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1994
The study of the free boundary problems was started working in China as early as 1960 ([14] [19]). Since then many mathematicians have been concentrating their effects to the theoretical researches on phase change problems, filtration problems, etc.
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The study of the free boundary problems was started working in China as early as 1960 ([14] [19]). Since then many mathematicians have been concentrating their effects to the theoretical researches on phase change problems, filtration problems, etc.
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A Parabolic-Hyperbolic Free Boundary Problem
SIAM Journal on Mathematical Analysis, 1986The paper is concerned with a parabolic-hyperbolic free boundary problem for change of phase processes in which the melting temperature is space- dependent. A weak formulation is given, pointing out that relevant differences occur with respect to the case of melting temperature. For the case in which weak solutions are suitably smooth it is established
FASANO, ANTONIO, A. FASANO
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Boundary regularity for free boundary problems
Communications on Pure and Applied Mathematics, 1999The purpose of this paper is to study up-to-the-boundary regularity of solutions of elliptic free boundary problems with two phases. The solution of a typical problem can be described as a function \(u\) that is harmonic in \(\{u\neq 0\}\) and satisfies the gradient jump condition: \(| \nabla u^+|^2 -|\nabla u^-|^2=1\) on the free boundary \(\{u= 0\}\).
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