-convergence and homogenization of monotone damped hyperbolic equations.
Galerkin-type solution of non-stationary aeroelastic stochastic problems
The assessment of vibration characteristics in slender engineering structures, influenced by both deterministic harmonic and stochastic excitation, poses a challenging problem. Due to its complexity, transverse vibration of the structure (relative to the wind direction) is typically modelled using the single-degree-of-freedom van der Pol-type equation. Determining the response probability density function comprises solving the Fokker-Planck equation, a task that generally necessitates the use of...
Generalized random processes and Cauchy's problem for some partial differential systems.
Generic solvability for the 3-D Navier-Stokes equations with nonregular force.
Green's functions for elliptic and parabolic equations with random coefficients.