On the stochastic Kuramoto–Sivashinsky equation

• Published in: Nonlinear analysis Vol. 44; no. 2; pp. 205 - 216
• Main Authors: Duan, Jinqiao, Ervin, Vincent J.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.04.2001; Elsevier
• Subjects: Exact sciences and technology; Function theory, analysis; Kuramoto–Sivashinsky; Mathematical methods in physics; Numerical approximation and analysis; Ordinary and partial differential equations, boundary value problems; Partial differential equations; Physics; Probability theory, stochastic processes, and statistics; Random forcing; Stochastic processes; Random forcing; Kuramoto–Sivashinsky; Random noise; Existence condition; Dynamical systems; Uniqueness theorem; Bounded solution; Non linear operator; Dirichlet domain; Fixed point theorem; Solutions; Differential equations; Infinite dimension; Kuramoto Sivashinsky equation; Wiener processes; Stochastic equation
• ISSN: 0362-546X; 1873-5215
• DOI: 10.1016/S0362-546X(99)00259-X