Broadwell模型含粘性激波與粘性接觸間斷解的漸近穩(wěn)定性
發(fā)布時間：2018-12-07 15:08
【摘要】：我們關(guān)注的是Broadwell模型系統(tǒng)的Cauchy問題的解在大時間范圍內(nèi)的漸近行為。當(dāng)系統(tǒng)對應(yīng)的守恒律的相應(yīng)Riemann問題存在由接觸間斷和激波組成的解時,證明對于Broadwell模型系統(tǒng),如果組合波的強度適當(dāng)?shù)匦?則對應(yīng)于接觸間斷的“激波”與激波的組合波解是大時間存在且漸近穩(wěn)定的。這個結(jié)果通過使用基本能量方法證明。
[Abstract]:We focus on the asymptotic behavior of the solution of the Cauchy problem for the Broadwell model system in a large time range. When the corresponding Riemann problem of the corresponding conservation law of the system exists a solution consisting of contact discontinuity and shock wave, it is proved that for the Broadwell model system, if the intensity of the combined wave is properly small, The combined wave solution corresponding to the contact discontinuous "shock" and shock wave is large time and asymptotically stable. This result is proved by using the basic energy method.
【學(xué)位授予單位】：上海師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O175
本文編號：2367379
[Abstract]:We focus on the asymptotic behavior of the solution of the Cauchy problem for the Broadwell model system in a large time range. When the corresponding Riemann problem of the corresponding conservation law of the system exists a solution consisting of contact discontinuity and shock wave, it is proved that for the Broadwell model system, if the intensity of the combined wave is properly small, The combined wave solution corresponding to the contact discontinuous "shock" and shock wave is large time and asymptotically stable. This result is proved by using the basic energy method.
【學(xué)位授予單位】：上海師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O175
【參考文獻(xiàn)】
相關(guān)期刊論文 前1條
1 黃飛敏;王勇;翟曉云;;STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY[J];Acta Mathematica Scientia;2010年06期
，本文編號：2367379
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