Compressible helical flows

DOI10.1002/cpa.3160480505zbMath0829.76074OpenAlexW2058947954MaRDI QIDQ4844802

Victor Yudovich, George M. Zaslavsky, Andrey Morgulis

Publication date: 25 January 1996

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160480505

zbMATH Keywords

exact solutionssymmetriesBeltrami flowgeneralization of ABC flownonuniform coefficientparadox of helical flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (13)

Beltrami fields and knotted vortex structures in incompressible fluid flows ⋮ Knotted solutions, from electromagnetism to fluid dynamics ⋮ Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori ⋮ Geometric hydrodynamics in open problems ⋮ Steady Euler flows on \({\mathbb{R}}^3\) with wild and universal dynamics ⋮ Fluid-electromagnetic helicities and knotted solutions of the fluid-electromagnetic equations ⋮ Local representation and construction of Beltrami fields ⋮ Local representation and construction of Beltrami fields. II: Solenoidal Beltrami fields and ideal MHD equilibria. ⋮ Solvability of a three-dimensional stationary flowing problem ⋮ Geometric problems in PDEs with applications to mathematical physics ⋮ Knotted solutions for linear and nonlinear theories: electromagnetism and fluid dynamics ⋮ Chiral anomaly in Euler fluid and Beltrami flow ⋮ Beltrami fields with a nonconstant proportionality factor are rare

Cites Work

• Weak Chaos and Quasi-Regular Patterns

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