Lax pair formulation for the Euler equation

DOI10.1016/0375-9601(90)90809-3zbMath1092.37522OpenAlexW2087408973MaRDI QIDQ2498058

Misha Vishik, Susan J. Friedlander

Publication date: 9 August 2006

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/1412

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Theoretical approximation in context of PDEs (35A35) Smooth dynamical systems: general theory (37C99)

Related Items (11)

Applications of Nambu mechanics to systems of hydrodynamical type ⋮ Geometric hydrodynamics in open problems ⋮ Kinematical symmetries of three-dimensional incompressible flows ⋮ Stability and Unstability of the Standing Wave to Euler Equations ⋮ The Cartesian Vector Solutions for the N‐Dimensional Compressible Euler Equations ⋮ A Lax pair for the two dimensional Euler equation ⋮ Applications of Nambu Mechanics to Systems of Hydrodynamical Type II ⋮ Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations ⋮ Helicity invariants in 3D: Kinematical aspects ⋮ One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid ⋮ Nonhomogeneous boundary value problem for \((I, J)\) similar solutions of incompressible two-dimensional Euler equations

Cites Work

• Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Semidirect Products and Reduction in Mechanics
• Magnetic field generation by the motion of a highly conducting fluid
• Integrals of nonlinear equations of evolution and solitary waves
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Lax pair formulation for the Euler equation