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Shock Waves and Reaction-Diffusion Equations, 2nd edition
Shock Waves and Reaction-Diffusion Equations, 2nd edition
Date: 14 April 2011, 15:00

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For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Olcinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered arc L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T: P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix arc described.

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