The perturbation on initial binding energy for a Majda-CJ combustion model

References

• Majda , A . 1981 . A qualitative model for dynamic combustion . SIAM J. Appl. Math. , 41 : 70 – 93 .
   Web of Science ®Google Scholar
• Lyng , G and Zumbrun , K . 2004 . One-dimensional stability viscous strong detonation waves . Arch. Ration. Mech. Anal. , 173 : 213 – 277 .
   Web of Science ®Google Scholar
• Lyng , G and Zumbrun , K . 2004 . A stability index for detonation waves in Majda's model for reacting flow . Physica D , 194 : 1 – 29 .
   Web of Science ®Google Scholar
• Liu , TP and Zhang , T . 1991 . A scalar combustion model . Arch. Ration. Mech. Anal. , 114 : 297 – 312 .
   Web of Science ®Google Scholar
• Bao , W and Jin , S . 2000 . The random projection method for hyperbolic conservation laws with stiff reaction terms . J. Comput. Phys. , 163 : 216 – 248 .
   Web of Science ®Google Scholar
• Fickett , W . 1979 . Detonation in miniature . Am. J. Phys. , 47 : 1050 – 1059 .
   Web of Science ®Google Scholar
• Li , JQ and Zhang , P . 2003 . The transition from Zeldovich–von Neumann–Döring to Chapman–Jouget theories for a nonconvex scalar combustion model . SIAM J. Math. Anal. , 34 : 675 – 699 .
   Web of Science ®Google Scholar
• Pan , LJ and Sheng , WC . 2012 . The generalized Riemann problem for a scalar nonconvex combustion model – the perturbation on initial binding energy . Acta Math. Sci. , 32B : 1262 – 1280 .
   Google Scholar
• Sheng , WC , Sun , MN and Zhang , T . 2007 . The generalized Riemann problem for a scalar nonconvex Chapman-Jouguet combustion model . SIAM J. Appl. Math. , 68 : 544 – 561 .
   Web of Science ®Google Scholar
• Sheng , WC and Zhang , T . 2009 . Structural stability of solutions to the Riemann problem for a scalar nonconvex combustion model . Discrete Contin. Dyn. Syst. , 25 : 651 – 667 .
   Web of Science ®Google Scholar
• Sun , MN and Sheng , WC . 2006 . The ignition problem for a scalar nonconvex combustion model . J. Differ. Equ. , 231 : 673 – 692 .
   Web of Science ®Google Scholar
• Sun , MN and Sheng , WC . 2009 . The generalized Riemann problem for a scalar Chapman-Jouguet combustion model . Z. Angew. Math. Phys. , 60 : 271 – 283 .
   Web of Science ®Google Scholar
• Zhang , P and Zhang , T . 1995 . The Riemann problem for scalar CJ-combustion model without convexity . Discrete Contin. Dyn. Syst. , 1 : 195 – 206 .
   Google Scholar
• Zhang , T . 1989 . The Riemann problem for combustion . Contemp. Math. , 100 : 111 – 124 .
   Google Scholar
• Lyng , G , Raoofi , M , Texier , B and Zumbrun , K . 2007 . Pointwise Green function bounds and stability of combustion waves . J. Differ. Equ. , 233 : 654 – 698 .
   Web of Science ®Google Scholar
• Sun , MN . 2012 . The entropy solutions of a scalar Chapman-Jouguet combustion model . Math. Models Methods Appl. Sci. , 22 ( 9 ) 1250018, 35 pages
   Web of Science ®Google Scholar
• Zhang , XT and Ying , LA . 2005 . Dependence of qualitative behaviour of the numerical solutions on the ignition temperature for a combustion model . J. Comput. Math. , 23 : 337 – 350 .
   Web of Science ®Google Scholar
• Chang , T and Hsiao , L . 1989 . “ The Riemann Problem and Interaction of Waves in Gas Dynamics, Pitman Monoger ” . In Surveys in Pure and Applied Mathematics , Vol. 41 , Essex : Longman .
   Google Scholar