[图书][B] Mathematical analysis of partial differential equations modeling electrostatic MEMS
P Esposito, N Ghoussoub, Y Guo - 2010 - books.google.com
" Micro-and nanoelectromechanical systems (MEMS and NEMS), which combine electronics
with miniature-size mechanical devices, are essential components of modern technology. It …
with miniature-size mechanical devices, are essential components of modern technology. It …
Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions
A Blanchet, JA Carrillo, P Laurençot - Calculus of Variations and Partial …, 2009 - Springer
This paper is devoted to the analysis of non-negative solutions for a generalisation of the
classical parabolic-elliptic Patlak–Keller–Segel system with d≥ 3 and porous medium-like …
classical parabolic-elliptic Patlak–Keller–Segel system with d≥ 3 and porous medium-like …
Nonlinear self-adjointness, conserved quantities, bifurcation analysis and travelling wave solutions of a family of long-wave unstable lubrication model
The paper investigates a class of long-wave unstable lubrication model using Lie theory. A
nonlinear self-adjoint classification of the considered equation is carried out. Without having …
nonlinear self-adjoint classification of the considered equation is carried out. Without having …
Thin liquid films on a slightly inclined heated plate
U Thiele, E Knobloch - Physica D: Nonlinear Phenomena, 2004 - Elsevier
The behavior of a thin liquid film on a uniformly heated substrate is considered. When the
substrate is horizontal and the Marangoni number sufficiently large the film breaks up into a …
substrate is horizontal and the Marangoni number sufficiently large the film breaks up into a …
[图书][B] Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations
VA Galaktionov, E Mitidieri, SI Pokhozhaev - 2015 - api.taylorfrancis.com
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations Page
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …
[PDF][PDF] Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity
Y Chen - Commun. Anal. Mech, 2023 - aimspress.com
In this work, the initial-boundary value problem for the global dynamical properties of
solutions to a class of finite degenerate fourth-order parabolic equations with mean …
solutions to a class of finite degenerate fourth-order parabolic equations with mean …
Long-Time Asymptotics for Strong Solutions¶ of the Thin Film Equation
JA Carrillo, G Toscani - Communications in mathematical physics, 2002 - Springer
In this paper we investigate the large-time behavior of strong solutions to the one-
dimensional fourth order degenerate parabolic equation ut=−(uu xxx) x, modeling the …
dimensional fourth order degenerate parabolic equation ut=−(uu xxx) x, modeling the …
Properties of positive solutions to an elliptic equation with negative exponent
L Ma, JC Wei - Journal of Functional Analysis, 2008 - Elsevier
In this paper, we study some quantitative properties of positive solutions to a singular elliptic
equation with negative power on the bounded smooth domain or in the whole Euclidean …
equation with negative power on the bounded smooth domain or in the whole Euclidean …
An algorithmic construction of entropies in higher-order nonlinear PDEs
A new approach to the construction of entropies and entropy productions for a large class of
nonlinear evolutionary PDEs of even order in one space dimension is presented. The task of …
nonlinear evolutionary PDEs of even order in one space dimension is presented. The task of …
Blowup and dissipation in a critical-case unstable thin film equation
We study the dynamics of dissipation and blow-up in a critical-case unstable thin film
equation. The governing equation is a nonlinear fourth-order degenerate parabolic PDE …
equation. The governing equation is a nonlinear fourth-order degenerate parabolic PDE …