搜索结果: 1-6 共查到“数学 thin film”相关记录6条 . 查询时间(0.154 秒)
The thin film equation with non zero contact angle:A singular perturbation approach
thin film equation non zero contact angle singular perturbation approach
font style='font-size:12px;'>
2015/10/15
In this paper we prove the existence of weak solutions for the thin film equation with prescribed non zero contact angle and for a large class of mobility coefficients, in dimension 1. The existence o...
Fluid accumulation in thin-film flows driven by surface tension and gravity (I): Rigorous analysis of a drainage equation
Fluid accumulation surface tension and gravity drainage equation
font style='font-size:12px;'>
2011/9/23
Abstract: We derive a boundary layer equation describing accumulation regions within a thin-film approximation framework where gravity and surface tension balance. As part of the analysis of this prob...
Lyapunov's method proves convergence to equilibrium for a thin film equation
Lyapunov's method proves convergence to equilibrium thin film equation
font style='font-size:12px;'>
2010/11/15
The degenerate parabolic equation u_t + [u^3(u_xxx + u_x - sin x)]_x=0 with periodic boundary conditions models the evolution of a thin liquid film on a stationary horizontal cylinder. The equation d...
Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation
Thin film equation local bifurcation analysis source-type and blow-up similarity solutions
font style='font-size:12px;'>
2010/12/14
Countable families of global-in-time and blow-up similarity sign-changing patterns of the Cauchy problem for the fourth-order thin film equation (TFE–4) ut = −∇ · (|u|n∇u) in RN × R...
A compactness result for Landau state in thin-film micromagnetics
compactness singular perturbation vortex N´ eel wall micromagnetics
font style='font-size:12px;'>
2010/12/1
We deal with a nonconvex and nonlocal variational problem coming from thin-film micro-magnetics. It consists in a free-energy functional depending on two small parameters " and
and defined over vec...
On the energy-minimizing steady states of a thin film equation
energy-minimizing steady states thin film equation
font style='font-size:12px;'>
2010/12/9
Steady states of the thin film equation ut + [u3 (uθθθ + 2uθ − sin )]θ = 0 are considered
on the periodic domain = (−, ). The equation defines a generalized gradient flow for an
ene...