Large Time Asymptotics with Error Estimates to Solutions of a Forced Burgers Equation

DOI10.1111/sapm.12148zbMath1383.35201OpenAlexW2534515313MaRDI QIDQ2973313

E. Satyanarayana, Mohd Ahmed, Veerapazham Murugan

Publication date: 3 April 2017

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12148

zbMATH Keywords

integral representationCole-Hopf transformationlarge time asymptoticsforced Burgers equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) A priori estimates in context of PDEs (35B45)

Related Items (5)

Generalized solutions of an inhomogeneous inviscid Burgers equation ⋮ The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics ⋮ A remark on large time asymtotics for solutions of a nonhomogeneous viscous Burgers equation ⋮ Vanishing viscosity limit for a system of balance laws with general type initial data arising from 1D Saint-Venant model ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Solutions of a system of forced Burgers equation
• Large time asymptotics for solutions to a nonhomogeneous Burgers equation
• Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics
• On the large-time asymptotics of the diffusion equation on infinite domains
• Symbolic computation of solutions for a forced Burgers equation
• A note on the forced Burgers equation
• Viscosity method of a non-homogeneous Burgers equation
• On a nonhomogeneous Burgers' equation
• Solutions of a system of forced Burgers equation in terms of generalized Laguerre polynomials
• Rates of Convergence to Self-Similar Solutions of Burgers' Equation
• Solutions of a Nonhomogeneous Burgers Equation
• Self‐similar Asymptotics for Linear and Nonlinear Diffusion Equations
• A Study of Separable Solutions of a Generalized Burgers Equation
• The partial differential equation u_t + uu_x = μ_xx

This page was built for publication: Large Time Asymptotics with Error Estimates to Solutions of a Forced Burgers Equation