Blowups of complex-valued solutions for some hydrodynamic models

DOI10.1134/S1560354710040088zbMath1205.35227OpenAlexW2172031297MaRDI QIDQ618231

Dong Li, Yakov G. Sinai

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354710040088

zbMATH Keywords

renormalization group method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Complex variables methods applied to problems in fluid mechanics (76M40) Blow-up in context of PDEs (35B44)

Related Items (3)

Non-collision singularities in the planar two-center-two-body problem ⋮ Complex singular solutions of the 3-d Navier-Stokes equations and related real solutions ⋮ Exploding solutions of the complex two-dimensional Burgers equations: Computer simulations

Cites Work

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• Power series for solutions of the 3D Navier-Stokes system on \(\mathbb R^3\)
• Zeros of complex caloric functions and singularities of complex viscous Burgers equation
• Singularities of complex-valued solutions of the two-dimensional Burgers system
• Explicit solutions of the viscous model vorticity equation

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