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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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Bernoulli’s Free-boundary Problem
1999As already mentioned in the introduction Bernoulli’s free-boundary problem arises in ideal fluid dynamics, optimal design, electro chemistry, electro statics, and further applications. In the interior Bernoulli problem a connected domain Ω in ℝ n and a constant Q > 0 are given. The task is to find a subset A⊂Ω and a potential u: Ω\A → ℝ such that $$
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A Parallel Cut-Cell Algorithm for the Free-Boundary Grad--Shafranov Problem
SIAM Journal of Scientific Computing, 2021Shuang Liu, Qi Tang
exaly
Bernoulli free-boundary problems
Memoirs of the American Mathematical Society, 2008E. Shargorodsky, J. F. Toland
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