Open AccessStructure of shock wave for a viscous combustion model
Author(s) -
Abdolrahman Razania
Publication year - 2012
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1202389r
Subject(s) - mathematics , ordinary differential equation , detonation , shock wave , order (exchange) , combustion , shock (circulatory) , mathematical analysis , differential equation , mechanics , physics , medicine , chemistry , organic chemistry , finance , economics , explosive material
Inthisarticle,theexistenceofweakandstrongdetonationwavesforaviscouscombustionmodel 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.
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