ATTRACTOR FOR THE NON-AUTONOMOUS LONG WAVE-SHORT WAVE RESONANCE INTERACTION EQUATION WITH DAMPING | Zendy

Ranran Liu | Zendy; Hui Liu | Zendy; Jie Xin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

ATTRACTOR FOR THE NON-AUTONOMOUS LONG WAVE-SHORT WAVE RESONANCE INTERACTION EQUATION WITH DAMPING

Author(s) -

Ranran Liu,

Hui Liu,

Jie Xin

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190246

Subject(s) - attractor , wave equation , uniqueness , bounded function , resonance (particle physics) , mathematical analysis , physics , mathematics , nonlinear system , domain (mathematical analysis) , quantum mechanics

In this paper, the long wave-short wave resonance interaction equation with a nonlinear term in bounded domain was studied. When β ≥ 3 2 , we obtained the existence and uniqueness of the weak solution of system (1.1)(1.4) by Galërkin’s method, and further proved the existence of the compact uniform attractor for damped driven by the non-autonomous long wave-short wave resonance interaction equation.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research