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The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown (Classic Reprint) - Softcover
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Excerpt from The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown
The generalizations of the 1-dimensional Riemann problem to allow multiple jumps and resuicted smooth variation in the initial data are presented in 552 and 3. In 54, the two dimensional Riemann problem is defined and a suffio'ency condition for piecewise smooth solutions obtained.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2024
- ISBN 10 1334182728
- ISBN 13 9781334182723
- BindingPaperback
- LanguageEnglish
- Number of pages43
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The Scalar Riemann Problem in Two Spatial Dimensions (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: 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. Seller Inventory # 9781334182723_0
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The Scalar Riemann Problem in Two Spatial Dimensions Piecewise Smoothness of Solutions and Its Breakdown Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334182723
Quantity: 15 available
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The Scalar Riemann Problem in Two Spatial Dimensions Piecewise Smoothness of Solutions and Its Breakdown Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334182723
Quantity: 15 available