Non-uniform propagation of weak waves through thermally-conducting and dissociating gases |
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Authors: | Arisdudan Rai J P Vishwakarma |
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Institution: | (1) Dept. of Mathematics, University of Gorakhpur, Gorakhpur, India |
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Abstract: | Non-uniform propagation of weak discontinuities headed by wavefronts of arbitrary shape along bi-characteristics of a hyperbolic system through thermally-conducting and dissociating gases are studied. An explicit criterion for the growth and decay of weak waves along bi-characteristic curves in the characteristic manifold of the governing differential equations is given. The two fundamental theorems on the global behaviour of the time-dependent wave amplitude of a weak wave has been concluded. |
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