On a nonhomogeneous Burgers' equation

DOI10.1007/BF02878974zbMath0997.35071OpenAlexW2258709313MaRDI QIDQ1609701

Cheng He, Xiaqi Ding, Quan-sen Jiu

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878974

zbMATH Keywords

Hermite polynomialsexplicit solutionlarge time behaviornonhomogeneous Burgers' equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items (9)

Generalized solutions of an inhomogeneous inviscid Burgers equation ⋮ Large time asymptotics for solutions to a nonhomogeneous Burgers equation ⋮ A remark on large time asymtotics for solutions of a nonhomogeneous viscous Burgers equation ⋮ A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation ⋮ Forced Burgers equation with sticky impulsion source ⋮ Large Time Asymptotics with Error Estimates to Solutions of a Forced Burgers Equation ⋮ Vanishing viscosity limit for a system of balance laws with general type initial data arising from 1D Saint-Venant model ⋮ Unnamed Item ⋮ On the numerical solution of one-dimensional nonlinear nonhomogeneous Burgers' equation

Cites Work

• The partial differential equation u_t + uu_x = μ_xx
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