The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown (Classic Reprint) - Couverture souple

Lindquist, W. Brent

9781334182723: The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown (Classic Reprint)

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ISBN 10 : 1334182728 ISBN 13 : 9781334182723

Editeur : Forgotten Books, 2019

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�diteur: Forgotten Books
Date d'�dition: 2019
Langue: anglais
ISBN 10: 1334182728
ISBN 13: 9781334182723
Reliure: Broch�
Nombre de pages: 43
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The Scalar Riemann Problem in Two Spatial Dimensions (Classic Reprint)

W. Brent Lindquist

Edit� par Forgotten Books, 2018

ISBN 10 : 1334182728 ISBN 13 : 9781334182723

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book delves into the Riemann problem in two spatial dimensions, an intricate phenomenon with applications ranging from astrophysics to fluid dynamics. The author begins by reviewing the one-dimensional Riemann problem, providing a foundation for understanding the more complex two-dimensional case. Throughout the book, emphasis is placed on finding piecewise smooth solutions, highlighting the delicate balance between regularity and discontinuity in these solutions. The work expands the classical Riemann problem by allowing for multiple initial discontinuities and smooth variation in the initial data, enriching the mathematical framework and its applicability to real-world phenomena. By restricting the convection function to have at most one inflection point, the author demonstrates that solutions remain piecewise smooth, a crucial property for accurate modeling. The author's detailed analysis and construction methods provide valuable insights into the behavior of nonlinear waves and their interactions. This book contributes to our understanding of the Riemann problem and opens up new avenues for research in nonlinear partial differential equations. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781334182723_0

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