Symplectic geometry of the oil displacement Barenblatt equations

DOI10.1016/j.geomphys.2024.105277zbMath1547.35566MaRDI QIDQ6610200

Svetlana S. Mukhina

Publication date: 25 September 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

exact solutionhyperbolic equationssymplectic transformationsoil filtrationLychagin-Rubtsov theorem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Wave equation (35L05) Pfaffian systems (58A17) Nonlinear first-order PDEs (35F20) Solutions to PDEs in closed form (35C05) First-order hyperbolic systems (35L40) Monge-Ampère equations (35J96) Contact systems (37J55) Liquid-liquid two component flows (76T06) Symplectic and canonical mappings (37J11)

Cites Work

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• A contact linearization problem for Monge-Ampère equations and Laplace invariants
• Lectures on geometry of Monge-Ampère equations with Maple
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• Finite Dimensional Dynamics of Evolutionary Equations with Maple
• Contact transformations in theory of frontal oil displacement

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