In addition, innovative treatments of wave equations with singular Kelvin–Voigt damping have refined our comprehension of energy decay mechanisms, proving that even when damping is localised ...

[2] Uniform Stabilization of Wave Equation with Localized Damping and Acoustic Boundary Condition. Journal of Mathematical Analysis and Applications (2016).

Global well-posedness in H2 (ℝ3) × H1 (ℝ3) is shown for nonlinear wave equations of the form u + f (u) + g (ut) = 0, where t ∈ ℝ+. The main assumption is that the nonlinear damping g (ut) behaves like ...

Alexander D. Kolesnik, Enzo Orsingher, A Planar Random Motion with an Infinite Number of Directions Controlled by the Damped Wave Equation, Journal of Applied Probability, Vol. 42, No. 4 (Dec., 2005), ...