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Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
book

Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition

by Andrei D. Polyanin, Vladimir E. Nazaikinskii
December 2015
Intermediate to advanced content levelIntermediate to advanced
1643 pages
59h 33m
English
Chapman and Hall/CRC
Content preview from Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
1094 SYSTEMS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS
Decomposition not requiring the mass force to split into components (the fi rst ap-
proach).
The solution of Eqs. (1) of viscoelastic fluids can be represented in the form
u = curl curl U U −∇div U, p = p
0
(t) + L[div U],
where p
0
(t) is an arbitrary function and the vector function U satisfies the equation
L[U] = f.
Decomposition not requiring the mass force to split into components (the second
approach).
The solution of Eqs. (1) of viscoelastic fluids can be represented in the form
u = U +
ϕ (LH + 1)[div U]
, p = p
0
(t) ρL
ϕ (LH + 1)[div U]
,
where p
0
(t) is an arbitrary function, H is
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Publisher Resources

ISBN: 9781466581494