It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a coincidence that the equations of hydrodynamics served as the first object for applying the new ideas and methods of group analysis which were developed by 1. V. Ovsyannikov and his school. The authors rank themselves as disciples of the school. The present monograph deals mainly with group-theoretic classification of the equations of hydrodynamics in the presence of planar and rotational symmetry and also with construction of exact solutions and their physical interpretation. It is worth noting that the concept of exact solution to a differential equation is not defined rigorously; different authors understand it in different ways. The concept of exact solution expands along with the progress of mathematics (solu� tions in elementary functions, in quadratures, and in special functions; solutions in the form of convergent series with effectively computable terms; solutions whose searching reduces to integrating ordinary differential equations; etc. ). We consider it justifiable to enrich the set of exact solutions with rank one and rank two in� variant and partially invariant solutions to the equations of hydrodynamics.

"About this title" may belong to another edition of this title.

Store Description

Professional Book Seller offering fast shipping and hassle-free returns for every order. Our 100% satisfaction policy guarantees that you get the best product and the best service at the best price!

Visit Seller's Storefront

Seller's business information

Basi6 International LLC
1018 Camino Lago, Irving, TX, 75039, U.S.A.

Sale & Shipping Terms

Terms of Sale

Professional Book Seller shipping from Multiple Locations Worldwide for fastest delivery possible!

Shipping Terms

All orders shipped via FedEx or DHL and delivered to your doorstep within 3-5 days. We do not ship to P.O.Boxes and a proper street address must be provided to avoid any delays.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	5 to 14 business days	3 to 6 business days
First item	US$ 0.00	US$ 0.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.