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Structure of shock wave for a viscous combustion model

Razania Abdolrahman (Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran + School of Mathematics, Institute for Research in Fundamental Sciences, Tehran, Iran)

In this article, the existence of weak and strong detonation waves for a viscous combustion model is proved. In order to prove the existence of this kind of waves, it is necessary to consider a 3-dimensional system of ordinary differential equations and prove the existence of heteroclinic orbits of it. In order to prove this, topological arguments are mainly tools.

Keywords: heteroclinic orbit, Majda’s model, combustion, shock waves, travelling waves