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1.
Anna Ghazaryan Peter Gordon Christopher K. R. T. Jones 《Journal of Dynamics and Differential Equations》2007,19(4):951-966
We study traveling wave solutions arising in Sivashinsky’s model of subsonic detonation which describes combustion processes
in inert porous media. Subsonic (shockless) detonation waves tend to assume the form of a reaction front propagating with
a well defined speed. It is known that traveling waves exist for any value of thermal diffusivity [5]. Moreover, it has been
shown that, when the thermal diffusivity is neglected, the traveling wave is unique. The question of whether the wave is unique
in the presence of thermal diffusivity has remained open. For the subsonic regime, the underlying physics might suggest that
the effect of small thermal diffusivity is insignificant. We analytically prove the uniqueness of the wave in the presence
of non-zero diffusivity through applying geometric singular perturbation theory.
Dedicated to Mr. Brunovsky in honor of his 70th birthday. 相似文献
2.
Circumferential Traveling Waves in Filled Cylindrical Shells 总被引:3,自引:0,他引:3
Consideration is given to deformation in the form of traveling circumferential waves in circular cylindrical shells with a liquid. The effect of the liquid on the phase velocity in the carrier shell is studied depending on the waveformation parameters and initial conditions 相似文献
3.
IntroductionHowtoobtaintravelingwavespeedsandsolutionsinnonlinearreaction_diffusionequationshasbeenaclassoffocusedquestionsformathematiciansandtheoreticalphysicists.Lineardiffusionyieldsinfinitepropagationspeed ,sodiffusioncoefficientswhichdependonthe… 相似文献
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5.
Huang Nanjing 《应用数学和力学(英文版)》1997,18(6):599-603
In this paper, a new kind of generalized BBM equation is introduced and discussed. Some existence theorems of periodic traveling
wave solutions for this kind generalized BBM equation are given. 相似文献
6.
黄南京 《应用数学和力学(英文版)》1997,18(6):599-603
I.Intr9ducti0nInpaperI5]globalexistenceanduniqueness0fsolutionswereestablishedfortheBenjamin-Bona-Mahony(BBM)equation,Il.l)u, uu,-u,,I=o(l'l)wherexERandt>O.TheBBMequationmodelslongwavesinanonlineardispersivesystemisasubstitutemodelfortheKortweg-deVriesequ… 相似文献