Now showing items 51-55 of 55
Short wave stability for inviscid shear flow
(Siam Publications, 2008)
We consider the linear stability of inviscid shear flows. While it is well known that discontinuous velocity profiles lead to short wave instabilities and ill-posedness, known examples of instability for smooth profiles ...
On a stochastic hyperbolic system in linear elasticity
(Siam Publications, 2000-08)
In this paper we discuss the Cauchy problem for linear elasticity with a space-time white noise forcing term. We show that the solution can be represented by a formula analogous to the Riesz formula for solutions of a wave ...
Invariant measures for the tochastic von Karman plate equation
(Siam Publications, 2005)
We prove the existence of an invariant measure for the von Karman plate equation with random noise. The nonlinear term which symbolizes the von Karman equation inhibits the standard procedure for the existence of an invariant ...
Nonlinear Integral Inequalities in Two Independent Variables and Their Applications
(Hindawi Publishing Corporation, 2007-11-05)
This paper generalizes results of Cheung and Ma (2005) to more general inequalities with more than one distinct nonlinear term. From our results, some results of Cheung and Ma ( 2005) can be deduced as some special cases. ...
The effect of negative feedback loops on the dynamics of Boolean networks
(CELL PRESS, 2008-07)
Feedback loops play an important role in determining the dynamics of biological networks. To study the role of negative feedback loops, this article introduces the notion of distance-to-positive-feedback which, in essence, ...