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Moving-boundary problems for the time-fractional diffusion equation
(Texas State University. Department of Mathematics, 2017-02)
We consider a one-dimensional moving-boundary problem for thetime-fractional diffusion equation. The time-fractional derivative of order α ∈(0, 1) is taken in the sense of Caputo. We study the asymptotic behaivor, ast tends ...
Hopf lemma for the fractional diffusion operator and its application to a fractional free-boundary problem
(Academic Press Inc Elsevier Science, 2016-02)
We consider a one-dimensional moving-boundary problem for the time-fractional diffusion equation, where the time-fractional derivative of order α. ∈. (0, 1) is taken in the Caputo sense. A generalization of the Hopf lemma ...
A simple and efficient direct forcing immersed boundary method combined with a high order compact scheme for simulating flows with moving rigid boundaries
(Pergamon-Elsevier Science Ltd, 2016-01)
A non-boundary conforming formulation for simulating complex flows with moving solid boundaries on fixed Cartesian grids is proposed. The direct forcing immersed boundary method (IBM) is implemented in a direct numerical ...
On the detection of a moving obstacle in an ideal fluid by a boundary measurement
(2008)
In this paper, we investigate the problem of the detection of a moving obstacle
in a perfect fluid occupying a bounded domain in R2 from the measurement of
the velocity of the fluid on one part of the boundary. We show ...
A moving boundary problem in a food material undergoing volume change - Simulation of bread baking
(Elsevier Science, 2010-05)
This paper presents a mathematical model for describing processes involving simultaneous heat and mass transfer with phase transition in foods undergoing volume change, i.e. shrinkage and/or expansion. We focused on processes ...
Exact boundary control for the wave equation in a polyhedral time-dependent domain
(Elsevier B.V., 1999-05-01)
We establish exact boundary controllability for the wave equation in a polyhedral domain where a part of the boundary moves slowly with constant speed in a small interval of time. The control on the moving part of the ...
Boundary games: A language and intention based framework for boundary critique
(2011-01-01)
Exploring ways to understand the boundary of a problematic situation is fundamental to intervention. The boundary draws a difference between what is relevant and what is not relevant for the problem situation. In other ...
Numerical solution and validation concerning a descriptive model of a simultaneous heat and mass transfer process
(Praise Worthy Prize, 2011-07)
This paper deals with the numerical solution of an initial moving boundary problem (IMBVP) arising from a simplified version of a free boundary problem (IFBVP) which was formulated in another paper, as a mathematical model ...