Averaging Principle for Complex Ginzburg--Landau Equation Perturbated by Mixing Random Forces
Peng Gao
Abstract
In this paper we establish an averaging principle for the complex Ginzburg--Landau equations, perturbed by a mixing random force. The principle applies to study the limiting behavior of solutions for the equations on long time intervals, as well as the limiting behavior of their stationary measures. Next we apply this averaging principle to specific equations, perturbed by several classes of random forces.
Topics & Concepts
MathematicsLimitingMixing (physics)Mathematical analysisStatistical physicsPhysicsQuantum mechanicsEngineeringMechanical engineeringAdvanced Mathematical Physics Problemsadvanced mathematical theoriesStochastic processes and financial applications