Blowup of Smooth Solutions for Relativistic Euler Equations
dc.contributor.author | Pan, Ronghua | en_US |
dc.contributor.author | Smoller, Joel A. | en_US |
dc.date.accessioned | 2006-09-11T17:51:47Z | |
dc.date.available | 2006-09-11T17:51:47Z | |
dc.date.issued | 2006-03 | en_US |
dc.identifier.citation | Pan, Ronghua; Smoller, Joel A.; (2006). "Blowup of Smooth Solutions for Relativistic Euler Equations." Communications in Mathematical Physics 262(3): 729-755. <http://hdl.handle.net/2027.42/46504> | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.issn | 0010-3616 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46504 | |
dc.description.abstract | We study the singularity formation of smooth solutions of the relativistic Euler equations in (3 + 1)-dimensional spacetime for both finite initial energy and infinite initial energy. For the finite initial energy case, we prove that any smooth solution, with compactly supported non-trivial initial data, blows up in finite time. For the case of infinite initial energy, we first prove the existence, uniqueness and stability of a smooth solution if the initial data is in the subluminal region away from the vacuum. By further assuming the initial data is a smooth compactly supported perturbation around a non-vacuum constant background, we prove the property of finite propagation speed of such a perturbation. The smooth solution is shown to blow up in finite time provided that the radial component of the initial ``generalized'' momentum is sufficiently large. | en_US |
dc.format.extent | 257482 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; Springer-Verlag Berlin Heidelberg | en_US |
dc.subject.other | Quantum Computing, Information and Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Relativity and Cosmology | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.title | Blowup of Smooth Solutions for Relativistic Euler 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, , Ann Arbor, MI, 48109, USA | en_US |
dc.contributor.affiliationother | School of Mathematics, , Georgia Institute of Technology, , Atlanta, GA, 30332, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46504/1/220_2005_Article_1464.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00220-005-1464-9 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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