**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

**Computational Turbulent Incompressible Flow**

by

**Johan Hoffman, Claes Johnson**-

**Springer**

In this book we address mathematical modeling of turbulent fluid flow, and its many mysteries that have haunted scientist over the centuries. We approach these mysteries using a synthesis of computational and analytical mathematics.

(

**13088**views)

**Why the Boundary of a Round Drop Becomes a Curve of Order Four**

by

**A. N. Varchenko, P. I. Etingof**-

**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.

(

**16788**views)

**Basics of Fluid Mechanics**

by

**Genick Bar-Meir**

Introductory textbook for the fluid mechanics in undergraduate classes for engineering/science students. It can be used as a reference book for people who have at least some basics knowledge of science areas such as calculus, physics, etc.

(

**29459**views)

**Surface Waves**

by

**John V. Wehausen, Edmund V. Laitone**-

**Springer**

Since its first publication this article has been an inspirational resource for students and researchers in the various fields of science and engineering. This may be attributed to its encyclopedic scope and to the scholarly efforts of the authors.

(

**12701**views)