Shock Waves Related to First Order PDEs

Arik Melikyan
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Arik Melikyan: Institute for Problems in Mechanics, Russian Academy of Science

Chapter 7 in Generalized Characteristics of First Order PDEs, 1998, pp 227-261 from Springer

Abstract: Abstract Consider a two-dimensional boundary value problem on the half-plane y > 0 of the (x, y)-plane: 7.1 $$\begin{array}{*{20}{c}} {F\left( {x,y,u,p,q} \right) = 0,y \geqslant 0\left( {p = \partial u/\partial x,q = \partial u/\partial y} \right)} \\ {u\left( {x,0} \right) = w\left( x \right),x \in M \subset {{\mathbb{R}}^{1}}} \\ \end{array}$$

Keywords: Shock Wave; Secondary Wave; Regular Characteristic; Singular Surface; Singular Line (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4612-1758-9_8

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