Stochastics · 2016 · 12 citations · 18 references
Natural SciencesMathematicsPhysicsFluid DynamicsFluid MechanicsStochastic ProcessesDissipative SystemsHydrodynamic StabilityNonlinear DynamicsStochastic ControlStochastic Differential EquationsStochastic StabilityMultiplicative NoiseNonlinear EvolutionSpatial Correlation StructureStochastic Differential SystemsStochastic Dissipative SystemsStochastic Dynamical SystemsStochastic Nonlinear DynamicsWhite Noise
We study the exponential behaviour and stabilizability of the following abstract nonlinear stochastic evolution equationwhere is a multiplicative white noise in time with spatial correlation. Applications to concrete models in fluid mechanics are also given.
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