Solution of the Cauchy problem for the Navier - Stokes and Euler equations
by A. Tsionskiy, M. Tsionskiy
Publisher: arXiv 2010
Number of pages: 65
Description:
Solutions of the Navier-Stokes and Euler equations with initial conditions (Cauchy problem) for two and three dimensions are obtained in the convergence series form by the iterative method using the Fourier and Laplace transforms in this paper. For several combinations of problem parameters numerical results were obtained and presented as graphs.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
An Introduction to the Mechanics of Fluids
by Edwin H. Barton - Longmans, Green
In writing this book, while preserving the usual rigour, the endeavour has been made to impart to it by the character of the illustrations and examples, a modern and practical flavour which will render it more widely useful. The calculus is not used.
(10029 views)
by Edwin H. Barton - Longmans, Green
In writing this book, while preserving the usual rigour, the endeavour has been made to impart to it by the character of the illustrations and examples, a modern and practical flavour which will render it more widely useful. The calculus is not used.
(10029 views)
Hydrodynamics
by Horace Lamb - Cambridge University Press
Constantly in use since its first publication in 1879, this book is the definitive reference for all fluid dynamicists. Despite the pace of modern research and the advent of high-speed computers, Lamb's work remains a relevant, timeless classic.
(11438 views)
by Horace Lamb - Cambridge University Press
Constantly in use since its first publication in 1879, this book is the definitive reference for all fluid dynamicists. Despite the pace of modern research and the advent of high-speed computers, Lamb's work remains a relevant, timeless classic.
(11438 views)
Water Waves: The Mathematical Theory With Applications
by J. J. Stoker - Interscience Publishers
Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications.
(15016 views)
by J. J. Stoker - Interscience Publishers
Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications.
(15016 views)
Statistical Mechanics of Two-dimensional and Geophysical Flows
by Freddy Bouchet, Antoine Venaille - arXiv
The theoretical study of the self-organization of two-dimensional and geophysical turbulent flows is addressed based on statistical mechanics methods. This review is a self-contained presentation of classical and recent works on this subject.
(9010 views)
by Freddy Bouchet, Antoine Venaille - arXiv
The theoretical study of the self-organization of two-dimensional and geophysical turbulent flows is addressed based on statistical mechanics methods. This review is a self-contained presentation of classical and recent works on this subject.
(9010 views)