Burgers’ Equation

Marcelo R. Ebert and Michael Reissig
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Marcelo R. Ebert: University of São Paulo, Department of Computing and Mathematics
Michael Reissig: TU Bergakademie Freiberg, Institute of Applied Analysis

Chapter Chapter 7 in Methods for Partial Differential Equations, 2018, pp 69-75 from Springer

Abstract: Abstract In the previous chapter the method of characteristics was introduced. This method allows among other things, a precise description of the life span of solutions to Cauchy problems for quasilinear partial differential equations of first order. We will now elaborate such an application by means of Burgers’ equation. Johannes (Jan) Martinus Burgers (1895–1981) was a Dutch physicist. He is credited with being the father of Burgers’ equation. Notions as blow up, geometrical blow up or life span of solutions to Burgers’ equation with and without mass term are introduced and discussed.

Date: 2018
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DOI: 10.1007/978-3-319-66456-9_7

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