%0 Journal Article %J Commun. Pure Appl. Anal. 1 (2002) 161-190 %D 2002 %T A center manifold technique for tracing viscous waves %A Stefano Bianchini %A Alberto Bressan %X In this paper we introduce a new technique for tracing viscous travelling profiles. To illustrate the method, we consider a special 2 x 2 hyperbolic system of conservation laws with viscosity, and show that any solution can be locally decomposed as the sum of 2 viscous travelling profiles. This yields the global existence, stability and uniform BV bounds for every solution with suitably small BV data. %B Commun. Pure Appl. Anal. 1 (2002) 161-190 %I American Institute of Mathematical Sciences %G en_US %U http://hdl.handle.net/1963/3075 %1 1258 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-10T10:55:34Z\\nNo. of bitstreams: 1\\npreprint2001_53.pdf: 444727 bytes, checksum: 26cee63284464e4850e1e6426216fe70 (MD5)