Complex singularities of solutions of some 1D hydrodynamic models

DOI10.1016/j.physd.2007.11.015zbMath1143.76391OpenAlexW2070144184MaRDI QIDQ942750

Dong Li, Yakov G. Sinai

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.physd.2007.11.015

zbMATH Keywords

fixed pointrenormalization groupblow up

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (8)

Isolated singularities of the 1D complex viscous Burgers equation ⋮ On a class of strongly contractive quadratic recurrent systems ⋮ Blowups of complex-valued solutions for some hydrodynamic models ⋮ Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up ⋮ Complex Burgers Equation: A Probabilistic Perspective ⋮ Singularities of complex-valued solutions of the two-dimensional Burgers system ⋮ Separating solution of a quadratic recurrent equation ⋮ Exploding solutions of the complex two-dimensional Burgers equations: Computer simulations

Cites Work

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• On a separating solution of a recurrent equation
• On a one-dimensional model for the three-dimensional vorticity equation
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• Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method
• Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\)
• Vorticity and Incompressible Flow
• Explicit solutions of the viscous model vorticity equation
• A simple one‐dimensional model for the three‐dimensional vorticity equation
• Diagrammatic approach to the 3D Navier-Stokes system

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