Exploding solutions of the complex two-dimensional Burgers equations: Computer simulations

DOI10.1063/1.4746814zbMath1332.35319OpenAlexW2055894608WikidataQ124542251 ScholiaQ124542251MaRDI QIDQ2872249

Pierluigi Maponi, Carlo Boldrighini, Sandro Frigio

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1063/1.4746814

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Analyticity in context of PDEs (35A20) Blow-up in context of PDEs (35B44)

Related Items (3)

Complex singular solutions of the 3-d Navier-Stokes equations and related real solutions ⋮ Artificial boundary conditions for the Burgers equation on the plane ⋮ An integral equation method for the numerical solution of the Burgers equation

Cites Work

• Blowups of complex-valued solutions for some hydrodynamic models
• Asymptotic behavior of generalized convolutions
• Complex singularities of solutions of some 1D hydrodynamic models
• Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method
• Zeros of complex caloric functions and singularities of complex viscous Burgers equation
• On implementation of a blowing-up tornado-type solution of a complex 3D Navier-Stokes system
• Singularities of complex-valued solutions of the two-dimensional Burgers system
• Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations

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