On the Euler flow in \(\mathbb{R}^ 2\)

DOI10.1007/BF00375585zbMath0784.76018OpenAlexW1967029732MaRDI QIDQ1309700

Carlo Marchioro, Dario Benedetto, Mario Pulvirenti

Publication date: 6 January 1994

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375585

zbMATH Keywords

global existence and uniqueness theoreminitial velocity fields

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47)

Related Items

Perfect fluid flows on \(\mathbb{R}^d\) with growth/decay conditions at infinity, Bounded solutions in incompressible hydrodynamics, Solutions to the 2D Euler equations with velocity unbounded at infinity, On the Euler Equation in the Plane, THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID, ON THE CAUCHY PROBLEM FOR THE GYRO-WATER-BAG MODEL, On Singular Vortex Patches, I: Well-posedness Issues

Cites Work

• Vortex methods in two-dimensional fluid dynamics
• Mathematical theory of incompressible nonviscous fluids
• On classical solutions of the two-dimensional non-stationary Euler equation
• Existence et unicité de la solution de l'équation d'Euler en dimension deux
• Non-stationary flow of an ideal incompressible liquid