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 …

In this work, we use a variational approach to model vibrations on a piezoelectric beam with
fractional damping depending on a parameter ν∈(0, 1/2). Magnetic and thermal effects are …

We present a new method of investigating the so-called quasi-linear strongly-damped wave
equations in bounded 3D domains. This method allows us to establish the existence and …

Two types of second-order in time partial differential equations, namely semilinear wave
equations and semilinear beam equations are considered. To solve these equations with …

We are concerned with the stabilization of the wave equation with locally distributed mixed-
type damping via arbitrary local viscoelastic and frictional effects. Here, one of the novelties …

We investigate sectoriality and maximal regularity in L p–L q-Sobolev spaces for the
structurally damped plate equation with Dirichlet–Neumann (clamped) boundary conditions …

This paper is concerned with the mixed initial–boundary value problem for semilinear wave
equations with complementary frictional dampings and memory effects. We successfully …

This paper is devoted to study the asymptotic behavior of a binary mixture problem of solids
with fractional damping and sources terms. We prove the existence of global attractors with …

In this paper we consider the strongly damped wave equation with time-dependent terms in
a bounded domain Ω⊂ Rn, under some restrictions on βε (t), γ (t) and growth restrictions on …

arXiv:1311.3290v1 [math.AP] 13 Nov 2013 Page 1 arXiv:1311.3290v1 [math.AP] 13 Nov 2013
RECENT PROGRESS IN ATTRACTORS FOR QUINTIC WAVE EQUATIONS Anton Savostianov …