[图书][B] Mathematical modeling of melting and freezing processes
V Alexiades - 2018 - taylorfrancis.com
This reference book presents mathematical models of melting and solidification processes
that are the key to the effective performance of latent heat thermal energy storage systems …
that are the key to the effective performance of latent heat thermal energy storage systems …
Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
H Amann - Function spaces, differential operators and nonlinear …, 1993 - Springer
It is the purpose of this paper to describe some of the recent developments in the
mathematical theory of linear and quasilinear elliptic and parabolic systems with …
mathematical theory of linear and quasilinear elliptic and parabolic systems with …
[图书][B] The stefan problem
AM Meĭrmanov - 1992 - books.google.com
Page 1 DE GRUYTER Anvarbek M. Meirmanov EXPOSITIONS IN MATHEMATICS 3 The Stefan
Problem W DE G Page 2 • Page 3 Page 4 Page 5 de Gruyter Expositions in Mathematics 3 …
Problem W DE G Page 2 • Page 3 Page 4 Page 5 de Gruyter Expositions in Mathematics 3 …
The nature of configurational forces
ME Gurtin - Fundamental Contributions to the Continuum Theory of …, 1999 - Springer
The standard forces associated with continua arise as a response to the motion of material
points. That additional, configurational 1 forces may be needed to describe the internal …
points. That additional, configurational 1 forces may be needed to describe the internal …
Dynamics of ripple formation and melt flow in laser beam cutting
W Schulz, V Kostrykin, M Nießen, J Michel… - Journal of Physics D …, 1999 - iopscience.iop.org
The dynamical behaviour of the laser beam fusion cutting process of metals is investigated.
Integral methods such as the variational formulation are applied to the partial differential …
Integral methods such as the variational formulation are applied to the partial differential …
A moving-boundary problem for concrete carbonation: global existence and uniqueness of weak solutions
A Muntean, M Böhm - Journal of mathematical analysis and applications, 2009 - Elsevier
This paper deals with a one-dimensional coupled system of semi-linear parabolic equations
with a kinetic condition on the moving boundary. The latter furnishes the driving force for the …
with a kinetic condition on the moving boundary. The latter furnishes the driving force for the …
Controllability of the Stefan problem by the flatness approach
B Colle, J Lohéac, T Takahashi - Systems & Control Letters, 2023 - Elsevier
We show the boundary controllability to stationary states of the Stefan problem with two
phases and in one dimension in the space variable. In the case of an initial condition that is …
phases and in one dimension in the space variable. In the case of an initial condition that is …
[图书][B] Free boundary problems in PDEs and particle systems
We develop here a theory for free boundary problems which applies to a large class of
systems arising from problems in various, even distant, areas of research and which share a …
systems arising from problems in various, even distant, areas of research and which share a …
[PDF][PDF] Mathematical models of some diffusive processes with free boundaries
A Fasano - SIMAI e-Lecture Notes, 2008 - cab.unime.it
Diffusive phenomena including free boundaries occur in an impressive number of processes
relevant to industry, biology, medicine, environment, etc. Here a small selection of problems …
relevant to industry, biology, medicine, environment, etc. Here a small selection of problems …
Regularization by kinetic undercooling of blow-up in the ill-posed Stefan problem
JR King, JD Evans - SIAM Journal on Applied Mathematics, 2005 - SIAM
It is well known that the one-dimensional supercooled Stefan problem possesses solutions
that blow up in finite time. The asymptotics of such solutions have been analyzed by Herrero …
that blow up in finite time. The asymptotics of such solutions have been analyzed by Herrero …