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Abstract In this paper, we study the long time behavior of solutions to a class of the third grade fluid equations in R 3 . We first show that the… Click to show full abstract
Abstract In this paper, we study the long time behavior of solutions to a class of the third grade fluid equations in R 3 . We first show that the solutions decay to zero if the initial data u 0 ∈ L 2 ( R 3 ) . Then, applying Fourier splitting method and decay character r ⁎ , we establish the upper and lower bounds of time decay rate in L 2 -norm for the solutions.
Keywords:
grade fluid;
solutions class;
fluid equations;
third grade
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!