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On a Moving Boundary Problem

Journal of Mathematical Physics, 1961
An exact analytic solution is obtained for a uniformly expanding, neutral, infinitely conducting plasma sphere in an external uniform and constant magnetic field.
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A Boundary Element Method for Multiple Moving Boundary Problems

Journal of Computational Physics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zerroukat, M., Wrobel, L. C.
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SOLUTION OF THE MOVING-BOUNDARIES PROBLEMS

Numerical Heat Transfer, Part B: Fundamentals, 1998
In the present study, a new method for solving the moving-boundaries problems is presented. The focus of our analysis of this technique is the mathematical formulation of the basic physical facts leading to the solid-liquid phase change. At each time step, the main idea is first to compute the solution without accounting for the discontinuity at the ...
M. Sassi, M. Raynaud
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A Moving Boundary Filtration Problem or "The Cigarette Problem"

The American Mathematical Monthly, 1957
(1957). A Moving Boundary Filtration Problem or “The Cigarette Problem”. The American Mathematical Monthly: Vol. 64, No. 10, pp. 710-715.
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Lagrangian Coordinates for Moving Boundary Problems

SIAM Journal on Applied Mathematics, 1982
Changes of density which occur naturally in phase change problems introduce movement of bulk material. It is customary in analyzing such problems to ignore this unpleasant complication and consider the densities to be equal. But for one-dimensional problems the complexities introduced by this bulk movement can easily be circumvented.
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Flagellar elongation as a moving boundary problem

Bulletin of Mathematical Biology, 1974
Movement of a proposed controlling factor along the growing flagellum is considered as a special case of one-dimensional diffusion with a moving boundary. Flagellar elongation, which involves polymerization of the building units at the distal tip, is viewed as taking place in a series of steps.
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An Introduction to Parabolic Moving Boundary Problems

2004
1. Introduction 2. The One Dimensional Case 3. Basic Examples 3.1. Self-similar Solutions in Bounded Domains 3.2. Travelling Waves in Unbounded Domains 4. Weak Solutions 5. The Fully Nonlinear Equations Approach 6. Special Geometries 6.1. Radially Symmetric Solutions 6.2.
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Numerical Solution of a Moving Boundary Hyperbolic Problem

1993
We report some preliminary results related to the numerical solution of a moving boundary hyperbolic problem. The problem describes a shock front propagation in a constant state. For this problem an implicit first order difference scheme was considered.
FAZIO, Riccardo, DAVID J. EVANS
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A Moving Boundary Problem for the Sphere

IMA Journal of Applied Mathematics, 1982
Davis, Gregory B., Hill, James M.
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Existence theorems for moving boundary optimization problems

1980
Si danno teoremi di esistenza per problemi di calcolo delle variazioni con frontiera mobile.
CALIGARIS, OTTAVIO, OLIVA P.
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