The Library
Existence of Leray's self-similar solutions of the Navier-Stokes equations in D subset of R-3
Tools
UNSPECIFIED (2004) Existence of Leray's self-similar solutions of the Navier-Stokes equations in D subset of R-3. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 47 (1). pp. 30-37. ISSN 0008-4395.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Abstract
Leray's self-similar solution of the Navier-Stokes equations is defined by
u(x, t) = U(y)/2root(t* - t),
where y = x/root2sigma(t* - t), sigma > 0.
Consider the equation for U(y) in a smooth bounded domain D of R-3 with non-zero boundary condition:
-vDeltaU+sigmaU+sigmay(.)delU+U(.)delU+delP=0, y is an element of D,
del(.)U=0, y is an element of D,
U = 9(y), y E partial derivativeD.
We prove an existence theorem for the Dirichlet problem in Sobolev space W-1,W-2(D). This implies the local existence of a self-similar solution of the Navier-Stokes equations which blows up at t = t* with t(*) < +infinity, provided the function G(y) is permissible.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | ||||
Publisher: | CANADIAN MATHEMATICAL SOC | ||||
ISSN: | 0008-4395 | ||||
Official Date: | March 2004 | ||||
Dates: |
|
||||
Volume: | 47 | ||||
Number: | 1 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 30-37 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |