Skip to Main Content
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
19.2. First-Order Decompositions. Examples 1249
where L
1
and L
2
are linear differential operators in time t. For operators of this form,
the following two identities have been used in the derivation of the definitive results stated
below:
∆(xg) xg + 2g, curl[∆(xg)] curl(xg),
where g is an arbitrary scalar function.
For all solutions of system (19.1.2.5)–(19.1.2.6) based on formula (19.2.1.19) and for
four distinct representations of the vector function Ψ
n
, the unknown functions ψ
(1)
and
ψ
(2)
satisfy two independent (identical) equations (19.2.1.1), and the functions ϕ and p are
described by Eqs. (19.2.1.3)–(19.2.1.4).
Note that the above-described
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Differential Equations, 2nd Edition

Differential Equations, 2nd Edition

Steven G. Krantz

Publisher Resources

ISBN: 9781466581494