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rarefaction n.稀少,稀薄;純凈;【化學】稀疏(作用)。adj.-t...

rarefy

In chapter 1 , the thesis studys the following cauthy problem to hyperbolic system with nonlinear relaxation term we prove that for the initial value with bounded c1 norm , there exists a unique global smooth solution for the cauthy problem ( 1 ) , ( 2 ) ; in chapter 2 , the thesis considers the following hyperbolic system with relaxation term and the sclar conservaton law equation when e is fixed , for a certain class of initial data , in the large time station , the thesis gets a determined lp ( p > 2 ) decay rate between the golbal smooth solutions of system ( 3 ) and the rarefaction waves solution of equation ( 4 ) 在第一章中,研究如下帶非線性松弛項的雙曲組的柯西問題證明了,對c ~ 1模有界的初值,柯西問題( 1 ) , ( 2 )存在唯一的整體光滑解。在第二章中,考慮如下帶松弛項的雙曲組和單守恒律方程u _ t + f ( u ) _ x 0 , ( x , t ) r r ~ + 。 ( 4 )當固定時,對一類初值,得到方程組( 3 )柯西問題的整體光滑解與方程( 4 )的稀疏波解間在大時間狀態下的l ~ p ( p 2 )衰減率。

The hyperbolic conservation laws with relaxation appear in many physical systems such as nonequilibrium gas dynamics , flood flow with friction , magnetohydrodynamics , etc . firstly , the thesis proves that there exists a unique global smooth solution for the cauthy problem to the hyperbolic conservation laws system with relaxation ; secondly , in the large time station , the thesis proves that the global smooth solutions of the hyperbolic conservation laws system with relaxation converge to rarefaction waves solution at a determined l ( p > 2 ) decay rate 帶松弛項的雙曲型守恒律組出現在諸多的物理系統中。例如,非平衡態的氣體動力學、帶摩擦的水流、磁動力學等。本文首先證明,帶松弛項的雙曲型守恒律組的柯西問題的整體光滑解的存在唯一性;其二,證明了帶松弛項的雙曲型守恒律組的解與相應的平衡態守恒律的稀疏波解在大時間狀態下的l ~ p衰減率。

If the inviscid solution includes the interaction that a central rarefaction wave collides with the boundary and the boundary reflects a new shock wave which is tangent to the boundary , or the inviscid solution includes some shock wave which is tangent to the boundary , then the error of the viscosity solution to the inviscid solution is bounded by o in l1 - norm ; otherwise , as in the initial value problem , the error bound is o 如果無粘解包含中心稀疏波與邊界相撞且邊界反射一個與之相切的新激波這樣的相互作用,或者無粘解包含與邊界相切的激波,那么在l ~ 1 -范數下粘性解與無粘解間的誤差界是o ( ~ ( 1 / 2 ) + | ln | + ) ;否則,類似于初始值問題,誤差界是o ( | ln | + ) 。

In the situation of the rarefaction chasing after the shock wave , both the analysis solve and the important relation as to the characteristics of the wave form are obtained in the use of the characteristic line method before the rarefaction catching ip with the shock wave ; after thai , qualitatively , two kinds of wave forms , reflection shock wave and incidence shock wave , or reflection shock wave and incidence rarefaction , may be obtained as well as the corresponding conditions for their occurrence 對稀疏波追趕沖擊波的情況,在稀疏波趕上沖擊波以前,利用特征線方法,得到了此問題的解析解及有關波形特性的重要關系;在稀疏波趕上沖擊波以后,不僅定性地得到二者經過相互作用以后,可能產生的兩種不同波形,即反射的沖擊波和入射的沖擊波或者反射的沖擊波和入射的稀疏波,而且給出了產生不同波形所對應的條件。

All the improvements included the modifications on the sound velocity , characteristic mach number and the mach number at the grid interface . several 2d flow fields which had shock , shear flow , rarefaction wave , or turbulent boundary layer and the combination of them were computed 該格式改進了聲速、特征馬赫數的處理方式,對網格界面馬赫數進行了修正,并求解了含有脫體激波、斜激波、剪切流、膨脹扇、及湍流附面層等流動特征的復雜流動。

Part two introduces some known preliminary results which will be used frequently in the following text . after smoothing the solution to the rarefaction wave , we further give some decay estimates which plays an important role in the following estimate 第二部分主要介紹了本文所需要的一些已知結果,在對稀疏波進行光滑化處理后,進一步給出了關于光滑稀疏波的一些衰減估計,這些衰減估計在后面的估計中起著重要的作用。

Compared with the initial value problem , the weak entropy solution of the initial - boundary value problem includes the following new interaction type : a central rarefaction wave collides with the boundary and the boundary reflects a new shock wave which is tangent to the boundary 與初始值問題相比較,初邊值問題的弱熵解包含了以下新的相互作用類型:中心稀疏波與邊界相撞,邊界反射出一個與之相切的新激波。

Using an l2 energy method proves that the solutions of the general initial - boundary problem to this relaxation model converges time - asymptotically to a stationary wave or a rarefaction wave or superposition of these two kinds wave for small perturbation 對此松弛模型,用l ~ 2 ?能量方法證明了在小擾動的情形下,相應的一般初邊值問題的解漸近收斂到一個穩定波或一個稀疏波或這兩種非線性波的疊加。

The results show that , when detonation sweeps a contact surface of inert gas , interactions of detonation , transmit shock and contact surface take place ; in condition of high n2 dilution proportion , detonation is decoupled by rarefaction waves 在高n2比例稀釋的可燃混合氣體情況下,當爆轟波平掠過特定惰性氣體界面時,它與惰性氣體界面相互作用產生的稀疏波可以導致爆轟波的解耦。

In the situation of shock wave , the interaction caused by the situation of one shock wave catching up with another is qualitatively analyzed with the result of the wave form : reflection rarefaction and incidence shock wave 對急流沖擊波的情況,從定性的角度分析了一個沖擊波追趕上另一個沖擊波后的相互作用,得到可能產生的波形,即反射的稀疏波和入射的沖擊波。

On the basis of forefathers “ study , the interaction of the shock waves of torrent , and that of rarefaction to shock wave have been discussed in detail in the useof the concept of the ( u , h ) curve 在前人研究的基礎上,通過引入( u , h )曲線的概念,分別對急流沖擊波的相互作用,稀疏波與沖擊波的相互作用進行了比較詳細地討論。

Due to the release by the rarefaction wave from the rear of copper impactor , and with the measurement of the velocity at the interface of sample and window , the release path was detected 利用來自飛片后界面稀疏波對被測樣品卸載,測量了樣品窗口界面的粒子速度剖面,得到了無氧銅的卸載路徑。

The method based on statistics has the problem of training data ' s rarefaction , and what restricts the more progress of corpus is the too large workload of manual tagging 基于統計的漢語自動分詞方法存在訓練數據稀疏的問題,而人工標注工作量過大又制約著語料庫規模的進一步擴大。

By combining the transient change model method and rarefaction wave method , the multidimensional rules to detect the leakage and locate the leak point were set up 并結合管道瞬變模型法與負壓波法建立多維判別法則,解決輸油管道泄漏檢測及漏點定位的問題。

Role of rarefaction clicks in detecting brainstem auditory evoked potential in sensorineural deafness 疏波短聲在感音性聾腦干聽覺誘發電位檢測中的作用

The rarefaction and compressibility effects of the gas flow in circular microtube 微細圓管中氣體流動的稀薄效應和可壓縮效應

Roughness and rarefaction effects on flow characteristics in microchannels 粗糙度與氣體稀薄性對微尺度流動特性的影響

Stability of the rarefaction wave for the generalized bbm - burgers equation 方程稀疏波解的穩定性英文

Numerical modeling and analysis on rarefaction wave gun 膨脹波槍炮發射原理數值建模與分析