Applications of Group-Theoretical Methods in Hydrodynamics by V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. PDF

By V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov

It used to be in the past that workforce research of differential equations turned a robust software for learning nonlinear equations and boundary worth difficulties. This research used to be in particular fruitful in program to the elemental equations of mechanics and physics as the invariance ideas are already occupied with their derivation. it truly is by no means a twist of fate that the equations of hydrodynamics served because the first item for using the hot principles and techniques of staff research which have been constructed via 1. V. Ovsyannikov and his institution. The authors rank themselves as disciples of the college. the current monograph bargains as a rule with group-theoretic category of the equations of hydrodynamics within the presence of planar and rotational symmetry and likewise with building of tangible ideas and their actual interpretation. it really is worthy noting that the idea that of actual approach to a differential equation isn't really outlined carefully; diverse authors comprehend it in numerous methods. the concept that of tangible answer expands in addition to the growth of arithmetic (soluĀ­ tions in common services, in quadratures, and in precise capabilities; suggestions within the type of convergent sequence with successfully computable phrases; options whose looking reduces to integrating traditional differential equations; and so forth. ). We examine it justifiable to counterpoint the set of tangible recommendations with rank one and rank inĀ­ version and in part invariant suggestions to the equations of hydrodynamics.

Show description

Read or Download Applications of Group-Theoretical Methods in Hydrodynamics (Mathematics and Its Applications) PDF

Best differential equations books

Download PDF by Richard F. Bass: Diffusions and Elliptic Operators (Probability and Its

A dialogue of the interaction of diffusion strategies and partial differential equations with an emphasis on probabilistic tools. It starts off with stochastic differential equations, the probabilistic equipment had to examine PDE, and strikes directly to probabilistic representations of options for PDE, regularity of recommendations and one dimensional diffusions.

Download e-book for iPad: A First Course in Differential Equations, Modeling, and by Carlos A. Smith,Scott W. Campbell

Emphasizing a realistic procedure for engineers and scientists, a primary path in Differential Equations, Modeling, and Simulation avoids overly theoretical causes and indicates readers how differential equations come up from using uncomplicated actual rules and experimental observations to engineering platforms.

Get Elliptic and Parabolic Equations: Hannover, September 2013 PDF

The overseas workshop on which this lawsuits quantity is predicated on introduced jointly top researchers within the box of elliptic and parabolic equations. specific emphasis used to be wear the interplay among well-established scientists and rising younger mathematicians, in addition to on exploring new connections among natural and utilized arithmetic.

Read e-book online Three Courses on Partial Differential Equations (IRMA PDF

Modeling, specifically with partial differential equations, performs an ever turning out to be position within the technologies. as a result its mathematical figuring out is a crucial factor for modern-day study. This booklet offers an advent to 3 diversified issues in partial differential equations coming up from purposes.

Extra info for Applications of Group-Theoretical Methods in Hydrodynamics (Mathematics and Its Applications)

Sample text

Download PDF sample

Applications of Group-Theoretical Methods in Hydrodynamics (Mathematics and Its Applications) by V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov


by George
4.5

Rated 4.05 of 5 – based on 25 votes