Dispersive deformations of the Hamiltonian structure of Euler's equations

DOI10.1134/S0040577916090026zbMath1351.35111arXiv1509.00254MaRDI QIDQ2520101

Matteo Casati

Publication date: 13 December 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00254

zbMATH Keywords

Poisson bracketEuler's equationsPoisson vertex algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Poisson algebras (17B63) Euler equations (35Q31)

Related Items (2)

Higher-order dispersive deformations of multidimensional Poisson brackets of hydrodynamic type ⋮ MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine \(\mathcal{W}\)-algebras

Cites Work

• Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets
• Jacobi structures of evolutionary partial differential equations
• A nonlinear Hamiltonian structure for the Euler equations
• On deformation of Poisson manifolds of hydrodynamic type
• A Darboux theorem for Hamiltonian operators in the formal calculus of variations.
• Poisson vertex algebras in the theory of Hamiltonian equations
• On deformations of multidimensional Poisson brackets of hydrodynamic type
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• The Hamiltonian formalism and a many-valued analogue of Morse theory

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