Finite-dimensional attractors for the quasi-linear strongly-damped wave equation

Varga Kalantarov, Sergey Zelik

We present a new method of investigating the so-called quasi-linear strongly damped wave equations $${\partial }_t^{2}u-\gamma {\partial }_t{\Delta }_{x}u-{\Delta }_{x}u+f(u)={\nabla }_x\cdot {\varphi }^{\prime }({\nabla }_{x}u)+g$$ i…