Exponential attractors and inertial manifolds for a class of generalized nonlinear Kirchhoff-Sine-Gordon equation*
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 6
Abstract
In this paper,we consider a class of generalized nonlinear Kirchhoff-Sine-Gordon equation in n dimensional space.We first prove the squeezing property of the nonlinear semigroup associated with this equation and the existence of exponential attractors.Then using the Hadamards graph transformation method,the existence of inertial manifolds of the equation is obtained when N is sufficiently large.
Authors and Affiliations
Ruijin Lou, Penghui Lv, Guoguang Lin
How To Have a Transfer of Information From a Prior to a Present Universe, in Lieu of Information Theory
What happens to the topological entanglement entropy of a system, when it is driven out of its ground state by increasing the temperature? This question is basic, especially if there is an increasing amount of tempe...
An analytic approximate solution of the matrix Riccati differential equation arising from the LQ optimal control problems
Approximate analytical solution of the matrix Riccati differential equation related to the linear quadratic optimal control problems, is the main goal of this paper which has a specific importance in the optimal control...
The Impact of Customer Behavior on The Type of Household Expenditure.
This study focuses on the family, enabling data collection and processing to come to the conclusion that it spends on average a month in a family in the city of Vlora. The data was collected in written and electronic for...
The Resultant formula of Masses m_1/m_2,..., m_n in Space oxyz at a Point
In this paper, the formula of the contact resultant for masses (m-1,m-2,...,m-n) in space(oxyz) is calculated and proved. Regarding the importance of masses movement in space and their contact with each other, it is felt...
Concomitants of Record Values From a General Farlie-Gumbel-Morgenstern Distribution
In this paper, we discuss the distributions of concomitants of record values arising from a polynomial-type single parameter extension of general Farlie-Gumbel-Morgenstern bivariate distribution. We derive the single and...