Dynamics and Condensation of Complex Singularities For Burgers' Equation I

DOI10.1137/S0036141095289373zbMath0889.35088OpenAlexW2010732919MaRDI QIDQ4377471

David Senouf

Publication date: 9 February 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141095289373

zbMATH Keywords

Burgers' equationpartial differential equationsdomain of analyticityasymptotic approximationspole dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Analyticity in context of PDEs (35A20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (15)

Complex singularities in KdV solutions ⋮ Isolated singularities of the 1D complex viscous Burgers equation ⋮ Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation ⋮ Numerical analytic continuation ⋮ Burgers' equation in the complex plane ⋮ Dynamics of Complex Singularities of Nonlinear PDEs ⋮ Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions ⋮ A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation ⋮ Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus ⋮ Dirichlet problem on the half-line for a forced Burgers equation with time-variable coefficients and exactly solvable models ⋮ Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Singularity formation in the deterministic and stochastic fractional Burgers equation ⋮ Viscous Marangoni Flow Driven by Insoluble Surfactant and the Complex Burgers Equation ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Boundary linear stabilization of the modified generalized Korteweg-de Vries-Burgers equation

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