Lax representations for the Euler ideal hydrodynamics equation in vorticity form on a two-dimensional Riemannian manifold

We find a family of Lax representations with a non-removable parameter for the Euler equation of dynamics of an inviscid incompressible fluid in vorticity form on a two-dimensional Riemannian manifold.

Authors

Institutions

Publication Details

Journal
Journal of Geometry and Physics
Published
2024-08-22
DOI
https://doi.org/10.1016/j.geomphys.2024.105299
Citations
1
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
0.97
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Lax representations for the Euler ideal hydrodynamics equation in vorticity form on a two-dimensional Riemannian manifold

Oleg I. Morozov
1 citations
Journal of Geometry and Physics
Navier-Stokes equation solutions
0.97
article

Lax representations for the Euler ideal hydrodynamics equation in vorticity form on a two-dimensional Riemannian manifold

Oleg I. Morozov
article en
1 citations

Abstract

We find a family of Lax representations with a non-removable parameter for the Euler equation of dynamics of an inviscid incompressible fluid in vorticity form on a two-dimensional Riemannian manifold.

Journal of Geometry and PhysicsVol. 206
Jagiellonian University (PL), AGH University of Krakow (PL)
Openalex Percentile: Top 27%
Navier-Stokes equation solutions
0.97
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Lax representations for the Euler ideal hydrodynamics equation in vorticity form on a two-dimensional Riemannian manifold — Oleg I. Morozov · Journal of Geometry and Physics (2024) | TGRS Research Map | TGRS