Boris P. Belinskiy

Exact Controllability of the Damped Wave Equation

We study the controllability problem for a distributed parameter system governed by the damped wave equation

Acoustic scattering by a narrow crack in an elastic plate

u_{tt}-\frac{1}{\rho(x)}\frac{d}{dx}\left(p(x)\frac{du}{dx}\right)+ 2d(x)u_t+q(x)u=g(x)f(t),

Acoustic scattering on an elastic plate described by the Timoshenko model: Contact conditions and uniqueness of the solution

where

Inverse scattering of acoustic waves in an ocean with ice cover

x\in (0,a)

Energy of the stochastic wave equation driven by a fractional Gaussian noise

, with the boundary conditions

Acoustic scattering from an elastic plate supported by a rigid narrow rib

u(0)=0,\;\; (u_x+hu_t)(a)=0,\;\; h\in{\Bbb C}\cup\{\infty\}.