Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8947393 | Computers & Mathematics with Applications | 2018 | 8 Pages |
Abstract
In this paper, we study the generalized incompressible Navier-Stokes equations in R3. Based on the energy estimates and regularization of the initial data with the heat semigroup, we prove the well-posedness of solutions in H5â4α2(R3) provided that the H5â4α2(R3)-norm of initial data is sufficiently small. In addition, in contrast to the generalized heat equation, the upper bound of the time decay rate of solutions to the generalized Navier-Stokes equations is also established.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Ning Duan,