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Large Time Asymptotics for Solutions of Nonlinear First-Order Partial Differential Equations

  • Sachdev* P.L.
  • Srinivasa Rao Ch.
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter, we consider the asymptotic behaviour of the solution of the (generalised) with damping, namely, u t + g(u)u x + λ h(u) = 0, λ > 0, g u (u) > 0, h u (u) > 0 for u > 0, (2.1.1) where g(u) and h(u) are nonnegative functions. This equation appears in several physical contexts including the Gunn effect (Murray 1970b).

Keywords

Large Time Travel Wave Solution Nonlinear Partial Differential Equation Decay Estimate Initial Disturbance 
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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of MathmeticsIndian Institute of Technology MadrasChennaiIndia

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