What are evolution equations?

Jüri Engelbrecht
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Jüri Engelbrecht: Tallinn University of Technology Institute of Cybernetics, Centre for Nonlinear Studies (CENS)

Chapter Chapter 5 in Questions About Elastic Waves, 2015, pp 71-89 from Springer

Abstract: Abstract Let us first return to Sect. 2.2, where the simplest wave equation (2.1) is presented together with its solution (2.7) under initial conditions (2.3). Figure 2.1 shows the fronts $$x + c_{0}t = 0$$ and $$x - c_{0}t = 0$$ , and it becomes obvious that the wave equation is actually a two-wave equation: one wave propagating to the right, another one to the left.

Keywords: Wave Equation; Evolution Equation; Burger Equation; Eikonal Equation; Simple Wave (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-14791-8_5

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