215 citations
- Indiana University BloomingtonUS5 papers
- California Institute of TechnologyUS3 papers
- AT&T (United States)US2 papers
- CEA DAM Île-de-FranceFR2 papers
- Los Alamos National LaboratoryUS2 papers
- Mitchell InstituteUS2 papers
- Université Paris-SudFR2 papers
- University of California, BerkeleyUS2 papers
- University of California, Santa CruzUS2 papers
- University of Colorado BoulderUS2 papers
- University of MichiganUS2 papers
- Yale UniversityUS2 papers
Showing 2009 · math.APShow all
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math.AP2009★ 2 cited
Existence of quasilinear relaxation shock profiles
Guy Metivier, Benjamin Texier, Kevin Zumbrun
We establish existence with sharp rates of decay and distance from the Chapman--Enskog approximation of small-amplitude quasilinear relaxation shocks in the general case that the p…
math.AP2009★ 1 cited
Existence and sharp localization in velocity of small-amplitude Boltzmann shocks
Guy Metivier, Kevin Zumbrun
Using a weighted -contraction mapping argument based on the macro-micro decomposition of Liu and Yu, we give an elementary proof of existence, with sharp rates of decay and di…
math.AP2009
The Transverse Instability of Periodic Waves in Zakharov-Kuznetsov Type Equations
Mathew A. Johnson
In this paper, we investigate the instability of one-dimensionally stable periodic traveling wave solutions of the generalized Korteweg-de Vries equation to long wavelength transve…