ON BURGERS-TYPE EQUATIONS WITH NONMONOTONIC DISSIPATIVE FLUXES

Authors
KURGANOV A LEVY D ROSENAU P
Citation
A. Kurganov et al., ON BURGERS-TYPE EQUATIONS WITH NONMONOTONIC DISSIPATIVE FLUXES, Communications on pure and applied mathematics, 51(5), 1998, pp. 443-473
Citations number
13
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Communications on pure and applied mathematics → ACNP
ISSN journal
00103640
Volume
51
Issue
5
Year of publication
1998
Pages
443 - 473
Database
ISI
SICI code
0010-3640(1998)51:5<443:OBEWND>2.0.ZU;2-3
Abstract
We study a formation of patterns in Burgers-type equations endowed wit h a bounded but nonmonotonic dissipative flux: u(t) + f(u)(x) = +/-nu Q(u(x))(x), Q(s) = s/(1 + s(2)). Issues of unique ness, existence, and smoothness of a solution are addressed. Asymptotic regions of a solut ion are discussed; in particular, classical and nonclassical traveling waves with an embedded subshock are constructed. (C) 1998 John Wiley & Sons, Inc.