[图书][B] Moving interfaces and quasilinear parabolic evolution equations
J Prüss, G Simonett - 2016 - Springer
Moving interfaces–and in the stationary case, free boundaries–are ubiquitous in our
environment and daily life. They are at the basis of many physical, chemical, and also …
environment and daily life. They are at the basis of many physical, chemical, and also …
Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
We prove that level surfaces of solutions to the Cahn-Hilliard equation tend to solutions of
the Hele-Shaw problem under the assumption that classical solutions of the latter exist. The …
the Hele-Shaw problem under the assumption that classical solutions of the latter exist. The …
Curvature driven interface evolution
H Garcke - Jahresbericht der Deutschen Mathematiker …, 2013 - Springer
Curvature driven surface evolution plays an important role in geometry, applied mathematics
and in the natural sciences. In this paper geometric evolution equations such as mean …
and in the natural sciences. In this paper geometric evolution equations such as mean …
Classical solutions for Hele-Shaw models with surface tension
J Escher, G Simonett - 1997 - projecteuclid.org
It is shown that surface tension effects on the free boundary are regularizing for Hele-Shaw
models. This implies, in particular, existence and uniqueness of classical solutions for a …
models. This implies, in particular, existence and uniqueness of classical solutions for a …
Phase segregation dynamics in particle systems with long range interactions II: Interface motion
G Giacomin, JL Lebowitz - SIAM Journal on Applied Mathematics, 1998 - SIAM
We study properties of the solutions of a family of second-order integrodifferential equations,
which describe the large scale dynamics of a class of microscopic phase segregation …
which describe the large scale dynamics of a class of microscopic phase segregation …
Growth in the Muskat problem
R Granero-Belinchón, O Lazar - Mathematical Modelling of …, 2020 - mmnp-journal.org
Growth in the Muskat problem Page 1 Math. Model. Nat. Phenom. 15 (2020) 7 Mathematical
Modelling of Natural Phenomena https://doi.org/10.1051/mmnp/2019021 www.mmnp-journal.org …
Modelling of Natural Phenomena https://doi.org/10.1051/mmnp/2019021 www.mmnp-journal.org …
Global asymptotic limit of solutions of the Cahn-Hilliard equation
X Chen - Journal of Differential Geometry, 1996 - projecteuclid.org
GLOBAL ASYMPTOTIC LIMIT OF SOLUTIONS OF THE CAHN-HILLIARD EQUATION XINFU
CHEN Abstract 1. Introduction lkuE = l ί ^ = > (x Page 1 J. DIFFERENTIAL GEOMETRY Vol. 44 …
CHEN Abstract 1. Introduction lkuE = l ί ^ = > (x Page 1 J. DIFFERENTIAL GEOMETRY Vol. 44 …
Convergence of the phase field model to its sharp interface limits
G Caginalp, X Chen - European Journal of Applied Mathematics, 1998 - cambridge.org
We consider the distinguished limits of the phase field equations and prove that the
corresponding free boundary problem is attained in each case. These include the classical …
corresponding free boundary problem is attained in each case. These include the classical …
Some mathematical aspects of the micro-phase separation in diblock copolymers
Y Nishiura, I Ohnishi - Physica D: Nonlinear Phenomena, 1995 - Elsevier
A free energy functional of nonlocal type is considered that was originally introduced to
describe the micro-phase separation of diblock copolymer. A mathematical framework is …
describe the micro-phase separation of diblock copolymer. A mathematical framework is …
A paradifferential approach for well-posedness of the Muskat problem
HQ Nguyen, B Pausader - Archive for Rational Mechanics and Analysis, 2020 - Springer
We study the Muskat problem for one fluid or two fluids, with or without viscosity jump, with or
without rigid boundaries, and in arbitrary space dimension d of the interface. The Muskat …
without rigid boundaries, and in arbitrary space dimension d of the interface. The Muskat …