[KÖNYV][B] Dynamics of quasi-stable dissipative systems

I Chueshov - 2015 - Springer
The main goal of this book is to present background material and recently developed
mathematical methods in the study of infinite-dimensional evolutionary models, taking into …

Long-time dynamics of Kirchhoff wave models with strong nonlinear dam**

I Chueshov - Journal of Differential Equations, 2012 - Elsevier
We study well-posedness and long-time dynamics of a class of quasilinear wave equations
with a strong dam**. We accept the Kirchhoff hypotheses and assume that the stiffness …

Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities

VK Kalantarov, S Zelik - ar**_and_logarithmic_nonlinearity/links/628c1e9eb5de4f1ad170719c/Well-posedness-of-solutions-for-a-class-of-quasilinear-wave-equations-with-strong-dam**-and-logarithmic-nonlinearity.pdf" data-clk="hl=hu&sa=T&oi=gga&ct=gga&cd=6&d=8267120190938831324&ei=iHPBZ6HuMZ-_6rQPvv_vqQc" data-clk-atid="3FleOAO2unIJ" target="_blank">[PDF] researchgate.net

Well‐posedness of solutions for a class of quasilinear wave equations with strong dam** and logarithmic nonlinearity

H Ding, J Zhou - Studies in Applied Mathematics, 2022 - Wiley Online Library
This paper investigates the well‐posedness of solutions for the following quasilinear wave
equation with strong dam** and logarithmic nonlinearity in a bounded domain with …

[HTML][HTML] Longtime dynamics of the Kirchhoff equations with fractional dam** and supercritical nonlinearity

Z Yang, P Ding, L Li - Journal of Mathematical Analysis and Applications, 2016 - Elsevier
The paper investigates the global well-posedness and the longtime dynamics of the
Kirchhoff equations with fractional dam** and supercritical nonlinearity: utt− M (‖∇ u‖ 2) …

Global stabilization of the Navier-Stokes-Voight and the damped nonlinear wave equations by finite number of feedback controllers

VK Kalantarov, ES Titi - ar** and critical nonlinearity on RN
Z Yang, P Ding - Journal of Mathematical Analysis and Applications, 2016 - Elsevier
The paper studies the longtime dynamics of the Kirchhoff equation with strong dam** and
critical nonlinearity on RN: utt− Δ ut− M (‖∇ u‖ 2) Δ u+ u t+ g (x, u)= f (x). We establish the …