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Perturbed Initial Value Problem for Chaplygin System with Combustion
Perturbed Initial Value Problem for Chaplygin System with Combustion
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Perturbed Initial Value Problem for Chaplygin System with Combustion
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Perturbed Initial Value Problem for Chaplygin System with Combustion
Perturbed Initial Value Problem for Chaplygin System with Combustion

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Perturbed Initial Value Problem for Chaplygin System with Combustion
Perturbed Initial Value Problem for Chaplygin System with Combustion
Journal Article

Perturbed Initial Value Problem for Chaplygin System with Combustion

2023
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Overview
In the present paper, the authors consider the perturbed initial value problem of the Chapman-Jouguet model for the Chaplygin gas. We obtain the unique solution by analyzing the elementary waves under the global entropy conditions. We observe that the combustion wave solution may be extinguished after perturbation which tells the instability of the unburnt gas. And we also capture the transitions between the deflagration wave and the detonation wave.
Publisher
International Association of Engineers