An unfinished tale of nonlinear PDEs: Do solutions of 3D incompressible Euler equations blow-up in finite time?

DOI10.1016/j.physd.2005.03.010zbMath1115.76010OpenAlexW2162081298MaRDI QIDQ2571420

Denisse Sciamarella, Yves Pomeau

Publication date: 7 November 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2005.03.010

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

Nonexistence of self-similar singularities for the 3D incompressible Euler equations ⋮ On blow-up space jets for the Navier–Stokes equations in R3 with convergence to Euler equations ⋮ Absence of singular stretching of interacting vortex filaments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• `Ruban à godets': an elastic model for ripples in plant leaves
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation
• On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations
• On the plant leaf's boundary, `jupe à godets' and conformal embeddings
• Collapsing solutions to the 3-D Euler equations
• Development of singular solutions to the axisymmetric Euler equations
• Evidence for a singularity of the three-dimensional, incompressible Euler equations
• Small-scale structures in Boussinesq convection
• Evolution of complex singularities in Kida–Pelz and Taylor–Green inviscid flows
• Self-Similar Solutions as Intermediate Asymptotics

This page was built for publication: An unfinished tale of nonlinear PDEs: Do solutions of 3D incompressible Euler equations blow-up in finite time?