The Euler Equations of Spatial Gasdynamics and the Integrable Heisenberg Spin Equation

DOI10.1111/j.1467-9590.2011.00539.xzbMath1256.35071OpenAlexW1526601374MaRDI QIDQ2905697

Colin Rogers, Wolfgang K. Schief

Publication date: 28 August 2012

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2011.00539.x

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Euler equations (35Q31)

Related Items (2)

A two-dimensional magnetohydrodynamic system: geometric decomposition and canonical reduction ⋮ On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections

Cites Work

• Gregory Internal constraint theories for the thermal expansion of viscous fluids.
• The Da Rios system under a geometric constraint: the Gilbarg problem
• On motions with constant speed and streamline parameters
• On geodesic hydrodynamic motions. Heisenberg spin connections
• A class of three-dimensional compressible fluid flows
• Thermal expansion models of viscous fluids based on limits of free energy
• Investigation of simplified thermal expansion models for compressible Newtonian fluids applied to nonisothermal plane Couette and Poiseuille flows
• On the Flow Patterns Common to Certain Classes of Plane Fluid Motions
• On the Uniqueness of Flows with Given Streamlines

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