Multi-dimensional Jordan chain and Navier-Stokes equation

DOI10.1016/j.physleta.2022.128167zbMath1505.76022arXiv2203.11730OpenAlexW4221155403MaRDI QIDQ2142261

B. G. Konopelchenko

Publication date: 27 May 2022

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

Full work available at URL: https://arxiv.org/abs/2203.11730

zbMATH Keywords

Navier-Stokes equationJordan chainhodograph equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05)

Cites Work

• The general solution of the matrix equation \(w_t + \sum^n_{k=1} w_{x_k}\rho^{(k)}(w) = \rho (w) + [w, T \tilde{\rho}(w)\)]
• Confluence of hypergeometric functions and integrable hydrodynamic-type systems
• Integrable hydrodynamic chains
• Homogeneous Euler equation: blow-ups, gradient catastrophes and singularity of mappings
• On universality of homogeneous Euler equation
• Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
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