3.16 (b) Compatibility (Continued )

Previous:  3.16  Compatibility Conditions

If  are continuous with continuous second partial derivatives, to have single valued continuous solutions , we need additional six equations. They are:

These equations are called compatibility equations.

Note:

    1)   If field is given, compatibility is automatically satisfied.

    2)   If are linear in , then all second partial derivative vanish and compatibility is satisfied.

Next: Example Problem 3.56

10/02/01 0:54:49