The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown (Classic Reprint) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for The Scalar Riemann Problem in Two Spatial Dimensions:...
Seller Image
The Scalar Riemann Problem in Two Spatial Dimensions (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
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
Buy New
US$ 17.35
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
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.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334182723
Stock Image
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
Buy New
US$ 23.83
US$ 4.40 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 15 available