Approximate controllability of a hydro-elastic coupled system
Approximate controllability of a hydro-elastic coupled system
We analyze the controllability of the motion of a fluid by means of the action of a vibrating shell coupled at the boundary of the fluid. The model considered is linear. We study its approximate controllability, i.e. whether the fluid may reach a dense set of final configurations at a given time. We show that this problem can be reduced to a unique continuation question for the Stokes system. We prove that this unique continuation property holds generically among analytic domains and therefore,...
Approximate controllability of a reaction-diffusion system with a cross-diffusion matrix and fractional derivatives on bounded domains.
Approximate controllability of linear parabolic equations in perforated domains
In this paper we consider an approximate controllability problem for linear parabolic equations with rapidly oscillating coefficients in a periodically perforated domain. The holes are -periodic and of size . We show that, as , the approximate control and the corresponding solution converge respectively to the approximate control and to the solution of the homogenized problem. In the limit problem, the approximation of the final state is alterated by a constant which depends on the proportion...
Approximate Controllability of linear parabolic equations in perforated domains
In this paper we consider an approximate controllability problem for linear parabolic equations with rapidly oscillating coefficients in a periodically perforated domain. The holes are ε-periodic and of size ε. We show that, as ε → 0, the approximate control and the corresponding solution converge respectively to the approximate control and to the solution of the homogenized problem. In the limit problem, the approximation of the final state is alterated by a constant which depends on the proportion...
Approximate general solution of degenerate parabolic equations related to population genetics.
Approximate inertial manifolds for nonlinear parabolic equations via steady-state determining mapping.
Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation
Approximate iterative method and the existence of solutions of nonlinear parabolic differential-functional equations
Approximate method for studying the waves propagating along the interface between air-water.
Approximate solution of an inhomogeneous abstract differential equation
Recently, we have developed the necessary and sufficient conditions under which a rational function approximates the semigroup of operators generated by an infinitesimal operator . The present paper extends these results to an inhomogeneous equation .
Approximate solution of optimization problems for infinite-dimensional singular systems.
Approximate solution of the nonlinear heat conduction equation in a semi-infinite domain.
Approximate solution of the one-dimensional heat conduction equation by the boundary element method
Approximate solutions of abstract differential equations
The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary differential equation are studied. The right-hand side of the differential equation under investigation contains an unbounded operator which is an infinitesimal generator of a strongly continuous semigroup of operators. Necessary and sufficient conditions are found for a rational function to approximate the given semigroup with high accuracy.
Approximate solutions of boundary value problems for the second and higer order linear PDE-s of the elliptic type in two independent variables
Approximate solutions of the incompressible Euler equations with no concentrations
Approximate trajectories and Lyapunov exponents for dynamical systems
Approximate traveling wave solutions of coupled Whitham-Broer-Kaup shallow water equations by homotopy analysis method.
Approximating parameters in nonlinear reaction diffusion equations.