Exponential attractors and inertial manifolds for a class of generalized nonlinear Kirchhoff-Sine-Gordon equation* | Zendy

Ruijin Lou | Zendy; Penghui Lv | Zendy; Guoguang Lin | Zendy

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Exponential attractors and inertial manifolds for a class of generalized nonlinear Kirchhoff-Sine-Gordon equation*

Author(s) -

Ruijin Lou,

Penghui Lv,

Guoguang Lin

Publication year - 2016

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v12i6.3849

Subject(s) - mathematics , attractor , mathematical analysis , nonlinear system , semigroup , exponential function , sine gordon equation , transformation (genetics) , inertial frame of reference , class (philosophy) , soliton , classical mechanics , biochemistry , chemistry , physics , quantum mechanics , gene , artificial intelligence , computer science

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.

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