Self-similar 2d Euler solutions with mixed-sign vorticity

DOI10.1007/s00220-016-2755-zzbMath1351.35114OpenAlexW2523499472MaRDI QIDQ329582

Volker Elling

Publication date: 21 October 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-016-2755-z

zbMATH Keywords

vortex spirals

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

Related Items (12)

Algebraic spiral solutions of the 2d incompressible Euler equations ⋮ Shock polars for non-polytropic compressible potential flow ⋮ Non-uniqueness of Leray solutions of the forced Navier-Stokes equations ⋮ On self-similar solutions to the incompressible Euler equations ⋮ Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids ⋮ Freezing similarity solutions in the multi-dimensional Burgers equation ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Variety of unsymmetric multibranched logarithmic vortex spirals ⋮ A posteriori error estimates for self-similar solutions to the Euler equations ⋮ Loss of regularity for the 2D Euler equations ⋮ Vortex cusps ⋮ Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations

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