Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures: (AMS-197)

Format: Hardback
Length: 832 pages
Publication date: 27 February 2018
Publisher: Princeton University Press

Shock waves, as fundamental phenomena in nature, are governed by the Euler equations or their variants, often expressed in the form of nonlinear conservation laws. When a shock encounters an obstacle, shock reflection-diffraction configurations emerge. To comprehend the intricate aspects involved, such as the structure and transition criteria of different configuration patterns, it is crucial to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This necessitates addressing several fundamental challenges in the analysis of nonlinear PDEs, including mixed type, free boundaries, and corner singularities, which also arise in fundamental problems across diverse fields such as continuum mechanics, differential geometry, mathematical physics, and materials science. By presenting recently developed approaches and techniques, this book offers valuable tools for tackling problems with similar complexities, thereby opening up new avenues for research.

Weight: 1324g
Dimension: 161 x 242 x 49 (mm)
ISBN-13: 9780691160542