Second-order differential equation associated with contact geometry: Symmetries, conservation laws and shock waves

DOI10.1007/BF00047883zbMath0857.35006WikidataQ115395287 ScholiaQ115395287MaRDI QIDQ1815389

Lev V. Zilbergleit

Publication date: 16 December 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

conservation lawsvon Kármán equationcontact geometryHugoniot-Rankine conditionsshock wave front sets

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Catastrophe theory (58K35) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Propagation of singularities; initial value problems on manifolds (58J47)

Cites Work

• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• LOCAL CLASSIFICATION OF NON-LINEAR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS
• The Similarity Law of Transonic Flow
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