Phương trình g-navier-stokes với các trễ vô hạn

• Tác giả: The Anh Cung, Trong Quyet Dao
• Ngôn ngữ: vie
• Ký hiệu phân loại: 532.593 Waves
• Thông tin xuất bản: Vietnam Journal of Mathematics, 2012
• Mô tả vật lý: 57-78
• Bộ sưu tập: Metadata
• ID: 626464

Tóm tắt

The paper study the first initial boundary value problem for the two-dimensional non-autonomous g-Navier-Stokes equations containing infinite delay terms in an arbitrary (bounded or unbounded) domain satisfying the Poincare inequality. The existence and uniqueness of a weak solution to the problem is proved by using the Galerkin method. Moreover, the authors also analyze the stationary problem and, under suitable additional conditions, and obtain global exponential decay of the solution of the evolutionary problem to the stationary solution.