Complex Blow-Up in Burgers' Equation: an Iterative Approach

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dc.creatorJoshi, Nalini
dc.creatorPetersen, Johannes A.
dc.date1996-10-31
dc.date.accessioned2026-07-07T09:17:55Z
dc.date.available2026-07-07T09:17:55Z
dc.descriptionWe show that for a given holomorphic noncharacteristic surface S in two-dimensional complex space, and a given holomorphic function on S, there exists a unique meromorphic solution of Burgers' equation which blows up on S. This proves the convergence of the formal Laurent series expansion found by the Painlevé test. The method used is an adaptation of Nirenberg's iterative proof of the abstract Cauchy-Kowalevski theorem.
dc.description11 pages in LaTeX. To appear in Bull. Aust. Math. Soc
dc.identifierhttps://arxiv.org/abs/solv-int/9610013
dc.identifierhttp://arxiv.org/abs/solv-int/9610013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153844
dc.subjectExactly Solvable and Integrable Systems
dc.titleComplex Blow-Up in Burgers' Equation: an Iterative Approach
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