 | I.M. Gelfand, James Lepowsky, Mikhail Smirnov - 1996 - 284 oldal
...—U¿+flU tnu_c¿nxx=d¿(IuI 2 )¿¿ (2.16) when c —¿ 00. The physical meaning of u, n, c are resp. the electrostatic envelope field, the ion density fluctuation field and the ion sound speed. This model is discussed in [LRS]. Defining an auxiliary field V(x, t) by I nt=-c 2 Vx (2.17) I. Vt... | |
 | Michael Francis Atiyah, Daniel Iagolnitzer - 1997 - 652 oldal
...as the limit of the ID Zakharov model (ZE) when c — > oo. The physical meaning of u,n,c are resp. the electrostatic envelope field, the ion density fluctuation field and the ion sound speed. This model is discussed in [LRS]. Defining an auxiliary field V(x,t) by nt = -c2 V, Vt = -nx - \u\l... | |
 | Luis A. Caffarelli, Weinan E - 488 oldal
...conditions) , + nu .«-c 2 n xx = c 2 (|u| 2 ) xx . where c is a parameter. The physical meaning of u,n,c are respectively the electrostatic envelope field,...fluctuation field and the ion sound speed. The cubic NLS iu t + u xx + u\u\ 2 = 0 may be seen as a limit of (80) if c —* oo (80) is a Hamiltonian system (it... | |
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I 1mx when c —, oo. The physical meaning of u,n,c are resp. the electrostatic envelope field, the ion density fluctuation field and the ion sound speed. This model is discussed in [LRS]. Defining an auxiliary field V(x,t) by... 