European Journal of Applied Mathematics
SCIE-ISI SCOPUS (1990-2023)
1469-4425
0956-7925
Anh Quốc
Cơ quản chủ quản: CAMBRIDGE UNIV PRESS , Cambridge University Press
Lĩnh vực:
Applied Mathematics
Các bài báo tiêu biểu
The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysisA mathematical analysis is carried out for the Cahn–Hilliard equation where the free energy takes the form of a double well potential function with infinite walls. Existence and uniqueness are proved for a weak formulation of the problem which possesses a Lyapunov functional. Regularity results are presented for the weak formulation, and consideration is given to the asymptotic behaviour a... ... hiện toàn bộ
Tập 2 Số 3 - Trang 233-280 - 1991
Convergence of the phase field model to its sharp interface limitsWe 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 Stefan
model, the surface tension model (with or without kinetics), the surface
tension model with
zero specific heat, the two phase Hele–Shaw, or quasi-static,
model. The Hele–Shaw model is
also a limit of the... ... hiện toàn bộ
Tập 9 Số 4 - Trang 417-445 - 1998
Models for thin viscous sheetsLeading-order equations governing the dynamics of a two-dimensional thin viscous sheet are derived. The inclusion of inertia effects is found to result in an ill-posed model when the sheet is compressed, and the resulting paradox is resolved by rescaling the equations over new length-and timescales which depend on the Reynolds number of the flow and the aspect ratio of the sheet. Physicall... ... hiện toàn bộ
Tập 7 Số 4 - Trang 321-343 - 1996
On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacleWe consider the dynamic behaviour of a thermoviscoelastic
body which may come into
frictional contact with a rigid obstacle. The frictional contact is
modelled by general contact
and friction laws which include as special cases the power law normal
compliance condition
and the corresponding generalization of Coulomb's law of
dry friction. The stress-strain
constitutive rela... ... hiện toàn bộ
Tập 8 Số 4 - Trang 417-436 - 1997
Stability of standing waves for a class of quasilinear Schrödinger equationsThis paper is concerned with the stability and instability of standing waves for the quasilinear Schrödinger equation of the form
p ∈ $1 < p < 4\alpha -1 +{4\over N}$ hiện toàn bộ
Tập 23 Số 5 - Trang 611-633 - 2012
The effect of hydrodynamic dispersion on reactive flows in porous mediaThe shape stability of the reaction interface for reactive flow in a porous medium is investigated.
Previous work showed that the Reaction-Infiltration Instability could cause the reaction
zone to lose stability when the Peclet number exceeded a critical value. The new feature of this
study is to include a velocity-dependent hydrodynamic dispersion. A mathematical model for
this phenom... ... hiện toàn bộ
Tập 12 Số 5 - Trang 557-569 - 2001