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http://dx.doi.org/10.4134/BKMS.b170044

EXISTENCE AND LONG-TIME BEHAVIOR OF SOLUTIONS TO NAVIER-STOKES-VOIGT EQUATIONS WITH INFINITE DELAY  

Anh, Cung The (Department of Mathematics Hanoi National University of Education)
Thanh, Dang Thi Phuong (Department of Mathematics Hung Vuong University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.2, 2018 , pp. 379-403 More about this Journal
Abstract
In this paper we study the first initial boundary value problem for the 3D Navier-Stokes-Voigt equations with infinite delay. First, we prove the existence and uniqueness of weak solutions to the problem by combining the Galerkin method and the energy method. Then we prove the existence of a compact global attractor for the continuous semigroup associated to the problem. Finally, we study the existence and exponential stability of stationary solutions.
Keywords
Navier-Stokes-Voigt equations; infinite delay; weak solution; Galerkin method; energy method; global attractor; stationary solution; existence; stability;
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Times Cited By KSCI : 1  (Citation Analysis)
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