Introduction

Prasad, Phoolan

doi:10.1007/978-981-10-7581-0_1

Phoolan Prasad²

Part of the book series: Infosys Science Foundation Series ((ISFM))

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Abstract

In this chapter we discuss the aim of the book and introduce basic equations for evolution of a propagating surface with special type of singularities.

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Notes

1.
In this book, we shall deal with two types of solutions: genuine solution of (1.1), (1.3) or (1.4) which is a \({\mathbb {C}}^1\) function satisfying the equations pointwise and weak solution of (1.2) or (1.7) which we shall define in Chap. 3.
2.
The system (1.7) is just a symbolic representation of a system of conservation laws written in integral form, which we shall explain later in Sect. 3.1.
3.
We shall define a kink precisely in Sect. 6.3.
4.
We need to define a wavefront. See Sect. 4.1 for definition using the language of physics. A mathematical definition is available in [42], Sect. 3.2.1, originally given in a lecture note in 1977 [36].

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Department of Mathematics, Indian Institute of Science, Bengaluru, Karnataka, India
Phoolan Prasad

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Phoolan Prasad
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Prasad, P. (2017). Introduction. In: Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-10-7581-0_1

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DOI: https://doi.org/10.1007/978-981-10-7581-0_1
Published: 07 March 2018
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-7580-3
Online ISBN: 978-981-10-7581-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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