Nonlinear stability of rarefaction waves for compressible Navier Stokes equations
dc.contributor.author | Xin, Zhouping | en_US |
dc.contributor.author | Liu, Tai-Ping | en_US |
dc.date.accessioned | 2006-09-11T17:49:16Z | |
dc.date.available | 2006-09-11T17:49:16Z | |
dc.date.issued | 1988-09 | en_US |
dc.identifier.citation | Liu, Tai-Ping; Xin, Zhouping; (1988). "Nonlinear stability of rarefaction waves for compressible Navier Stokes equations." Communications in Mathematical Physics 118(3): 451-465. <http://hdl.handle.net/2027.42/46471> | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.issn | 0010-3616 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46471 | |
dc.description.abstract | It is shown that expansion waves for the compressible Navier-Stokes equations are nonlinearly stable. The expansion waves are constructed for the compressible Euler equations based on the inviscid Burgers equation. Our result shows that Navier-Stokes equations and Euler equations are time-asymptotically equivalent on the level of expansion waves. The result is proved using the energy method, making essential use of the expansion of the underlining nonlinear waves and the specific form of the constitutive eqution for a polytropic gas. | en_US |
dc.format.extent | 651076 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Quantum Computing, Information and Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | en_US |
dc.subject.other | Relativity and Cosmology | en_US |
dc.title | Nonlinear stability of rarefaction waves for compressible Navier Stokes equations | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Department of Mathematics, University of Maryland, 20742, College Park, MD, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46471/1/220_2005_Article_BF01466726.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01466726 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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