Logo

Solution of the Cauchy problem for the Navier - Stokes and Euler equations

Small book cover: Solution of the Cauchy problem for the Navier - Stokes and Euler equations

Solution of the Cauchy problem for the Navier - Stokes and Euler equations
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(1MB, PDF)

Similar books

Book cover: Topics in dynamics I: FlowsTopics in dynamics I: Flows
by - Princeton University Press
Lecture notes for a course on differential equations covering differential calculus, Picard's method, local structure of vector fields, sums and Lie products, self-adjoint operators on Hilbert space, commutative multiplicity theory, and more.
(16339 views)
Book cover: Why the Boundary of a Round Drop Becomes a Curve of Order FourWhy the Boundary of a Round Drop Becomes a Curve of Order Four
by - American Mathematical Society
This book concerns the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution.
(13820 views)
Book cover: Lecture notes in fluid mechanics: From basics to the millennium problemLecture notes in fluid mechanics: From basics to the millennium problem
by - arXiv
These lecture notes have been prepared as a first course in fluid mechanics up to the presentation of the millennium problem listed by the Clay Mathematical Institute. Our primary goal is to debunk this beautiful problem as much as possible.
(8537 views)
Book cover: Complex Fluids: The Physics of EmulsionsComplex Fluids: The Physics of Emulsions
by - arXiv
These lectures start with the mean field theory for a symmetric binary fluid mixture, addressing interfacial tension, the stress tensor, and the equations of motion (Model H). We then consider the phase separation kinetics of such a mixture.
(4690 views)