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On the regularity of the Navier–Stokes equation in a thin periodic domain by Igor Kukavica; Mohammed Ziane is a Mathematics article available to read on EtoBox.

What is On the regularity of the Navier–Stokes equation in a thin periodic domain about?

We address the global regularity of solutions of the Navier-Stokes equations in a thin domain Ω = [0, L 1 ] × [0, L 2 ] × [0, ] with periodic boundary conditions, where L 1 , L 2 > 0 and ∈ (0, 1/2). We prove that if where u 0 is the initial datum, then there exists a unique global smooth solution with the initial datum u 0 . Also, if the global regularity of the corresponding solution holds.

Who reads On the regularity of the Navier–Stokes equation in a thin periodic domain?

It is typically read by researchers, students, and practitioners in Mathematics.

Author
Igor Kukavica; Mohammed Ziane
Publisher
Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-0396)
Published
2007
Language
EN
Field
Mathematics (Physical Sciences)

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