Random attractors of Kirchhoff-type reaction–diffusion equations without uniqueness driven by nonlinear colored noise

Abstract

In this article, we consider the asymptotic behavior of solutions for the Kirchhoff-type reaction–diffusion equations driven by a nonlinear colored noise defined on unbounded domains. We prove the existence and uniqueness of pullback random attractors by the uniformly estimate.

Keywords

• reaction–diffusion equation
• the kirchhoff-type
• colored noise
• unbounded domain
• 35b40
• 35b41