EXACT ANALYSIS OF BURGERS-EQUATION ON SEMILINE WITH FLUX CONDITION ATTHE ORIGIN

Authors
JOSEPH KT SACHDEV PL
Citation
Kt. Joseph et Pl. Sachdev, EXACT ANALYSIS OF BURGERS-EQUATION ON SEMILINE WITH FLUX CONDITION ATTHE ORIGIN, International journal of non-linear mechanics, 28(6), 1993, pp. 627-639
Citations number
17
Categorie Soggetti
Mechanics
Journal title
International journal of non-linear mechanics → ACNP
ISSN journal
00207462
Volume
28
Issue
6
Year of publication
1993
Pages
627 - 639
Database
ISI
SICI code
0020-7462(1993)28:6<627:EAOBOS>2.0.ZU;2-K
Abstract
The initial boundary value problem for the Burgers equation in the dom ain x greater than or equal to 0, t > 0 with flux boundary condition a t x = 0 has been solved exactly. The behaviour of the solution as t te nds to infinity is studied and the ''asymptotic profile at infinity'' is obtained. In addition, the uniqueness of the solution of the initia l boundary value problem is proved and its inviscid limit as epsilon - -> 0 is obtained.