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

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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

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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).

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Authors and Affiliations

  1. Department of Mathmetics, Indian Institute of Technology Madras, Sardar Patel Road, 600036, Chennai, India

    Srinivasa Rao Ch.

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  1. Sachdev* P.L.
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  2. Srinivasa Rao Ch.
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Correspondence to Srinivasa Rao Ch. .

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P.L., S., Ch., S. (2009). Large Time Asymptotics for Solutions of Nonlinear First-Order Partial Differential Equations. In: Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-87809-6_2

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