Analyticity of thermo-elastic semigroups with free boundary conditions
Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system.
Numerical studies of viscous incompressible flow between two rotating concentric spheres.
Regularity result for the problem of vibrations of a nonlinear beam.
Reissner-Mindlin plate theory for elastodynamics.
Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions.
The dynamical Lame system : regularity of solutions, boundary controllability and boundary data continuation
The boundary control problem for the dynamical Lame system (isotropic elasticity model) is considered. The continuity of the “input state” map in -norms is established. A structure of the reachable sets for arbitrary is studied. In general case, only the first component of the complete state may be controlled, an approximate controllability occurring in the subdomain filled with the shear (slow) waves. The controllability results are applied to the problem of the boundary data continuation....
The dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation
The boundary control problem for the dynamical Lame system (isotropic elasticity model) is considered. The continuity of the “input → state" map in L2-norms is established. A structure of the reachable sets for arbitrary T>0 is studied. In general case, only the first component of the complete state may be controlled, an approximate controllability occurring in the subdomain filled with the shear (slow) waves. The controllability results are applied to the problem of the boundary data continuation....