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On Obtaining Non-Similar Solutions from Similar Solutions

In: Group Invariance in Engineering Boundary Value Problems

Author

Listed:
  • R. Seshadri

    (Syncrude Canada Limited)

  • T. Y. Na

    (University of Michigan—Dearborn, Department of Mechanical Engineering)

Abstract

We have seen in the earlier chapters, that a similarity representation is obtainable for a boundary value problem provided the governing differential equations and the associated boundary conditions are invariant under a group of transformations. However, if any of the equations and boundary conditions is not invariant under a group, then the problem becomes nonsimilar.

Suggested Citation

  • R. Seshadri & T. Y. Na, 1985. "On Obtaining Non-Similar Solutions from Similar Solutions," Springer Books, in: Group Invariance in Engineering Boundary Value Problems, chapter 0, pages 103-124, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-5102-6_6
    DOI: 10.1007/978-1-4612-5102-6_6
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