Global attractor for weakly damped nonlinear parametric Klein-Gordon Schrödinger system
Olivier Goubet, Marilena Poulou
Abstract
We consider a damped forced nonlinear Klein-Gordon Schr\''odinger (KGS) system known as the parametric KGS system with Yukawa coupling. We prove the regularity of the global attractor for this infinite-dimensional dynamical system, i.e. that the global attractor is included into a smaller Sobolev space than the energy space. We prove that this global attractor has finite fractal dimension, without any assumption on the decay of the forcing terms.
Create a lesson
Related papers
Non-centered maximal operators over q balls for exponential and Laguerre-type measures
The Anh Bui, Fu Ken Ly
Weighted Fractional Commutator Estimate and Application to the Fractional Wave Equations with Time-dependent Damping
Jiayun Lin, Masahiro Ikeda
The Characteristic Initial Value Problem for the 3D Compressible Euler Equations
Jared Speck, Sifan Yu
A transition calculus for 0-pseudodifferential operators with applications to gas giant geometry
Andy Yin
Maps from the Dbar-data to the derivative NLS potentials
Junyi Zhu, Xueru Wang, Huan Liu
An L5/6 bound for the periodic Kuramoto-Sivashinsky equation
Benjamin Ingimarson, Igor Kukavica, Qi Xu