The Existence of Global Weak Solution to the Nonlinear Waterhammer Program
The Existence of Global Weak Solution to the Nonlinear Waterhammer Program
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In our eReader you can find the full English version of the book. Read The Existence of Global Weak Solution to the Nonlinear Waterhammer Program Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Existence of Global Weak Solution to the Nonlinear Waterhammer Program
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4(y y ) Note that k. Depends only on a and w = — -- . H " AT We now turn to the estimate of Lerma 5. 2. We first estimate Uh(y2. T)-u^(ypt)|dt rJ Uh(y2't)-u^(y^, t)|dt and J- U - I Uh(y2>t)-u^(y^. T)|dt J-1 %(y2>^'>-%(y]'^)\^^ 1 j-i 39 u^(y2>t)-u^(y-|, t)|dt ^J-1 ?J t .
5u^(y2, t)-Uj^(y^, t)^-[u^(y2, t)-u^(y^, t)l)|dt J-1 However, for t e J-, K(y2>t)-u^(yi, t)]-[G^(y2, t)-u^(ypt)il -- • Hence vie see that m V Uj^{y2, t)-u^(ypt)|dt (5. 14) J-1 / M, M-1 „ j=OVi=nrfl i=m ^ Now by substituting (5. ...13) into the right hand side of (5. 14), we obtain J-1 / M T M-1 ^ j = \i=nr^l ^ i-m '-^ (5. 15) I T e/. L * 1^*' ' J J where T is the amount of time that a characteristic r with nonzero strength (J, Vl^^f°'^J^' ^"d ^^1'"^ ^^^ strength 40 of that characteristic. But by Lemma 5. 5, if k £ k v/e can estimate T^ 1 C(T)(y2-y^), and by Lemma 5.
What to read after The Existence of Global Weak Solution to the Nonlinear Waterhammer Program?
You can find similar books in the "Read Also" column, or choose other free books by Jeffrey Saltzman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
4(y y ) Note that k. Depends only on a and w = — -- . H " AT We now turn to the estimate of Lerma 5. 2. We first estimate Uh(y2. T)-u^(ypt)|dt rJ Uh(y2't)-u^(y^, t)|dt and J- U - I Uh(y2>t)-u^(y^. T)|dt J-1 %(y2>^'>-%(y]'^)\^^ 1 j-i 39 u^(y2>t)-u^(y-|, t)|dt ^J-1 ?J t .
5u^(y2, t)-Uj^(y^, t)^-[u^(y2, t)-u^(y^, t)l)|dt J-1 However, for t e J-, K(y2>t)-u^(yi, t)]-[G^(y2, t)-u^(ypt)il -- • Hence vie see that m V Uj^{y2, t)-u^(ypt)|dt (5. 14) J-1 / M, M-1 „ j=OVi=nrfl i=m ^ Now by substituting (5. ...13) into the right hand side of (5. 14), we obtain J-1 / M T M-1 ^ j = \i=nr^l ^ i-m '-^ (5. 15) I T e/. L * 1^*' ' J J where T is the amount of time that a characteristic r with nonzero strength (J, Vl^^f°'^J^' ^"d ^^1'"^ ^^^ strength 40 of that characteristic. But by Lemma 5. 5, if k £ k v/e can estimate T^ 1 C(T)(y2-y^), and by Lemma 5.
What to read after The Existence of Global Weak Solution to the Nonlinear Waterhammer Program?
You can find similar books in the "Read Also" column, or choose other free books by Jeffrey Saltzman to read onlineMoreLess
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