Derivation of the spatio-temporal model equations for the thermoacoustic resonator

Details Derivation of the spatio-temporal model equations for the thermoacoustic resonator Derivation of the spatio-temporal model equations for the thermoacoustic resonator

2008-01-09

arxiv.org/abs/0801.1454v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We derive the model equations describing the thermoacoustic resonator, that is, an acoustical resonator containing a viscous medium inside. Previous studies on this system have addressed this sytem in the frame of the plane-wave approximation, we extend the previous model to by considering spatial effects in a large aperture resonator. This model exhibits pattern formation and localized structures scenario.

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