Singularities of complex-valued solutions of the two-dimensional Burgers system

DOI10.1063/1.3276099zbMath1309.35113OpenAlexW2057737223MaRDI QIDQ3580891

Dong Li, Yakov G. Sinai

Publication date: 13 August 2010

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

Full work available at URL: https://doi.org/10.1063/1.3276099

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44)

Related Items (7)

Generalized Korteweg-de Vries equation induced from position-dependent effective mass quantum models and mass-deformed soliton solution through inverse scattering transform ⋮ Complex singular solutions of the 3-d Navier-Stokes equations and related real solutions ⋮ Particular solutions to multidimensional PDEs with KdV-type nonlinearity ⋮ Blowups of complex-valued solutions for some hydrodynamic models ⋮ Solutions of multidimensional partial differential equations representable as a one-dimensional flow ⋮ Artificial boundary conditions for the Burgers equation on the plane ⋮ Exploding solutions of the complex two-dimensional Burgers equations: Computer simulations

Cites Work

• Asymptotic behavior of generalized convolutions
• Complex singularities of solutions of some 1D hydrodynamic models
• On a nonlinear recurrent relation
• Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method

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