Recent progress in attractors for quintic wave equations

2013/11/13 by Anton Savostianov, Savostianov, Anton, Sergey Zelik +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1311.3290

This notes are prepared for the Proceedings of EQUADIFF 2013

arxiv created 2013/11/13 · arxiv updated 2013/11/14

Abstract

We report on new results concerning the global well-posedness, dissipativity and attractors of the damped quintic wave equations in bounded domains of R³.

Related

• Attractors for damped quintic wave equations in bounded domains
• Strong attractors for weakly damped quintic wave equation in bounded domains
• Infinite energy solutions for weakly damped quintic wave equations in ℝ³
• Dynamics of the quintic wave equation with nonlocal weak damping
• Smooth attractors for the quintic wave equations with fractional damping