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A free boundary problem for the wave equation

โœ Scribed by Willard L. Miranker

Publisher
Elsevier Science
Year
1961
Tongue
English
Weight
582 KB
Volume
271
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

WAVE EQUATION

In this paper we discuss the motion of a frictionless piston contained in a tube which is filled with a hydraulic fluid.

The fluid is assumed to be inviscid but compressible.

The mathematical problem is that of solving the wave equation in a domain with an a priori unknown boundary (the piston trajectory).

The methods for solving the problem amount essentially to a wave tracing technique.

The report is concluded with some numerical results and a comparison of these results with an entirely linear analysis of the same problem.

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