2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.AP2020★ 2 cited
Infinite energy solutions for weakly damped quintic wave equations in
Xinyu Mei, Anton Savostianov, Chunyou Sun +1
The paper gives a comprehensive study of infinite-energy solutions and their long-time behavior for semi-linear weakly damped wave equations in with quintic nonlinea…
math.AP2018
Uniform attractors for measure-driven quintic wave equation with periodic boundary conditions
Anton Savostianov, Sergey Zelik
We give a detailed study of attractors for measure driven quintic damped wave equations with periodic boundary conditions. This includes uniform energy-to-Strichartz estimates, the…
math.AP2018
Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations
Shane Cooper, Anton Savostianov
Homogenisation of global and exponential attractors for the damped semi-linear anisotropic wave equation $\partial_t^2 u^ε+γ\partial_t u^ε-{\rm div}…