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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
Chapter 1 3
Methods for First-Order
Linear PDEs
13.1 Linear PDEs with Two Independent Variables
13.1.1 Special First-Order Linear PDEs with Two Independent
Vari ables
Physical interpretation and the characteristic equation.
Consider a first-order linear homogeneous partial differential equation with two indepen-
dent variables of the special form
f(x, y)
∂w
∂x
+ g(x, y)
∂w
∂y
= 0. (13.1.1.1)
Equation (13.1.1.1) describes a steady-state distribution of the concentration of a sub-
stance in a plane flow (without regard to diffusion). Moreover, it is assumed that the fluid
velocity components along the x- and y-axes are specified by the functions f and g.
The transfo ...
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Publisher Resources

ISBN: 9781466581494