Large time asymptotics for solutions to a nonhomogeneous Burgers equation

• Published in: Applied mathematics and mechanics Vol. 31; no. 9; pp. 1189 - 1196
• Main Authors: Chidella, S. R., Yadav, M. K.
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.09.2010; Department of Mathematics,Indian Institute of Technology Madras,Chennai 600036,India
• Subjects: Applications of Mathematics; Asymptotic properties; Burgers equation; Classical Mechanics; Decay; Fluid- and Aerodynamics; Heat equations; Initial value problems; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Self-similarity; Series (mathematics); 35C06; nonhomogeneous Burgers equation; 35K15; Hermite polynomials; 35B40; self-similar solutions; 35K55; O175.2

In this article, the solutions to a nonhomogeneous Burgers equation subject to bounded and compactly supported initial profiles are constructed. In an interesting study, Kloosterziel （Journal of Engineering Mathematics 24, 213-236 （1990）） represented a solution to an initial value problem （IVP） for...