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Time Dependent Free Boundary Problems

SIAM Review, 1979
Recent 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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Free-Boundary Problems

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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Free Boundary Problem of Magnetohydrodynamics

Journal of Mathematical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Free Boundary Optimization Problem

SIAM Journal on Mathematical Analysis, 1978
Given 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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Free boundary problems:

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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A Parabolic-Hyperbolic Free Boundary Problem

SIAM Journal on Mathematical Analysis, 1986
The 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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Free Boundary Problems

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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Rearrangement Optimization Problems with Free Boundary

Numerical Functional Analysis and Optimization, 2014
This article is concerned with three optimization problems. In the first problem, a functional is maximized with respect to a set that is the weak closure of a rearrangement class; that is, a set comprising rearrangements of a prescribed function. Questions regarding existence, uniqueness, symmetry, and local minimizers are addressed.
MARRAS, MONICA, Emamizadeh B.
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Bernoulli’s Free-boundary Problem

1999
As 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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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach

Ca-A Cancer Journal for Clinicians, 2022
Grace Li Smith   +2 more
exaly  

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