OPTIMAL TRACING OF VISCOUS SHOCKS IN SOLUTIONS OF VISCOUS CONSERVATION LAWS.
In: SIAM Journal on Mathematical Analysis, Jg. 38 (2006-12-01), Heft 5, S. 1474-1488
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Zugriff:
This paper contains a qualitative study of a scalar conservation law with viscosity: ut + f(u)x = uxx . We consider the problem of identifying the location of viscous shocks, thus obtaining an optimal finite dimensional description of solutions to the viscous conservation law. We introduce a nonlinear functional whose minimizers yield the viscous traveling profiles which optimally fit the given solution. We prove that outside an initial time interval and away from times of shock interactions, our functional remains very small, i.e., the solution can be accurately represented by a finite number of viscous traveling waves. [ABSTRACT FROM AUTHOR]
Titel: |
OPTIMAL TRACING OF VISCOUS SHOCKS IN SOLUTIONS OF VISCOUS CONSERVATION LAWS.
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Autor/in / Beteiligte Person: | Shen, Wen ; Mee Rea Park |
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Zeitschrift: | SIAM Journal on Mathematical Analysis, Jg. 38 (2006-12-01), Heft 5, S. 1474-1488 |
Veröffentlichung: | 2006 |
Medientyp: | academicJournal |
ISSN: | 0036-1410 (print) |
DOI: | 10.1137/050642642 |
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