CRITICAL THRESHOLDS IN 2D RESTRICTED EULER–POISSON EQUATIONS

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dc.contributor.authorLIU, HAILIANG
dc.contributor.authorTADMOR, EITAN
dc.date.accessioned2008-11-03T18:48:28Z
dc.date.available2008-11-03T18:48:28Z
dc.date.issued2003
dc.description.abstractWe provide a complete description of the critical threshold phenomenon for the twodimensional localized Euler–Poisson equations, introduced by the authors in [Comm. Math. Phys., 228 (2002), pp. 435–466]. Here, the questions of global regularity vs. finite-time breakdown for the two-dimensional (2D) restricted Euler–Poisson solutions are classified in terms of precise explicit formulae, describing a remarkable variety of critical threshold surfaces of initial configurations. In particular, it is shown that the 2D critical thresholds depend on the relative sizes of three quantities: the initial density, the initial divergence, and the initial spectral gap, that is, the difference between the two eigenvalues of the 2 × 2 initial velocity gradient.en
dc.format.extent225825 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationH. Liu & E. Tadmor (2003). Critical thresholds in 2D restricted Euler-Poisson equations. SIAM Journal of Applied Mathematics 63 (2003) 1889-1910.en
dc.identifier.urihttp://hdl.handle.net/1903/8658
dc.language.isoen_USen
dc.publisherCopyright: Society for Industrial and Applied Mathematicsen
dc.relation.isAvailableAtCollege of Computer, Mathematical & Physical Sciencesen_us
dc.relation.isAvailableAtMathematicsen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, MD)en_us
dc.subjectcritical thresholdsen
dc.subjectrestricted Euler–Poisson dynamicsen
dc.subjectspectral gapen
dc.titleCRITICAL THRESHOLDS IN 2D RESTRICTED EULER–POISSON EQUATIONSen
dc.typeArticleen

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