DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Moon-Jin | ko |
dc.contributor.author | Vasseur, Alexis F. | ko |
dc.contributor.author | Wang, Yi | ko |
dc.date.accessioned | 2022-02-24T06:41:37Z | - |
dc.date.available | 2022-02-24T06:41:37Z | - |
dc.date.created | 2022-02-22 | - |
dc.date.created | 2022-02-22 | - |
dc.date.issued | 2019-08 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.267, no.5, pp.2737 - 2791 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10203/292374 | - |
dc.description.abstract | We consider a L-2-contraction (a L-2-type stability) of large viscous shock waves for the multidimensional scalar viscous conservation laws, up to a suitable shift by using the relative entropy methods. Quite different from the previous results, we find a new way to determine the shift function, which depends both on the time and space variables and solves a viscous Hamilton-Jacobi type equation with source terms. Moreover, we do not impose any conditions on the anti-derivative variables of the perturbation around the shock profile. More precisely, it is proved that if the initial perturbation around the viscous shock wave is suitably small in L-2-norm, then the L-2-contraction holds true for the viscous shock wave up to a suitable shift function. Note that BY-norm or the L-infinity-norm of the initial perturbation and the shock wave strength can be arbitrarily large. Furthermore, as the time t tends to infinity, the L-2-contraction holds true up to a (spatially homogeneous) time-dependent shift function. In particular, if we choose some special initial perturbations, then L-2-convergence of the solutions towards the associated shock profile can be proved up to a time-dependent shift. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | L-2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws | - |
dc.type | Article | - |
dc.identifier.wosid | 000468614700002 | - |
dc.type.rims | ART | - |
dc.citation.volume | 267 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 2737 | - |
dc.citation.endingpage | 2791 | - |
dc.citation.publicationname | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.identifier.doi | 10.1016/j.jde.2019.03.030 | - |
dc.contributor.localauthor | Kang, Moon-Jin | - |
dc.contributor.nonIdAuthor | Vasseur, Alexis F. | - |
dc.contributor.nonIdAuthor | Wang, Yi | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | NAVIER-STOKES EQUATIONS | - |
dc.subject.keywordPlus | FLUID DYNAMIC LIMITS | - |
dc.subject.keywordPlus | RELATIVE ENTROPY | - |
dc.subject.keywordPlus | NONLINEAR STABILITY | - |
dc.subject.keywordPlus | BOLTZMANN-EQUATION | - |
dc.subject.keywordPlus | KINETIC-EQUATIONS | - |
dc.subject.keywordPlus | RIEMANN SOLUTIONS | - |
dc.subject.keywordPlus | ASYMPTOTIC STABILITY | - |
dc.subject.keywordPlus | EULER EQUATIONS | - |
dc.subject.keywordPlus | FOURIER SYSTEM | - |
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