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961.
This paper studies isentropic solutions of quasilinear first-order equations with two independent variables and a flux function
that is only continuous. The isentropic solutions are characterized by the requirement that the S. N. Kruzhkov entropy conditions
hold for these solution with the equality sign. It turns out that the existence of a nonconstant isentropic solution imposes
rather strong restrictions on the nonlinearity. In particular, it is shown that on the minimal interval containing the essential
image of the isentropic solution, the flux function satisfies the local Lipschitz condition, and its generalized derivative
is a function of locally bounded variation. Also, it is proved that when the flux function is nonlinear, any isentropic solution
is continuous on nondegenerate intervals.
__________
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 33, Suzdal
Conference-2004, Part 1, 2005. 相似文献
962.
963.
964.
965.
The kinetic behaviour of aluminum naphthenate/benzene system in the process of gelation and degradation was systematically studied. The results obtained from the kinetic experiments indicated that the gelation stage was in accordance with a kinetic model of an auto-catalytic first-order reaction, and the degradation stage was a simple first-order reaction. The rate constants in these two stages at various temperaturs were measured. And the determined apparent activation energies for the gelation stage and for the degradation stage are 27.5±2.0 and 37.7±2.3 kJ/mol, respectively. 相似文献
966.
In this paper, a quasilinear second-order system with periodic boundary conditions is studied. By the least action principle and classical theorems of variational calculus, existence results of periodic solutions are obtained. 相似文献
967.
968.
Approximation of signals from local averages 总被引:4,自引:0,他引:4
This work is concerned with approximation of a signal from local averages. It improves a result of Butzer and Lei [P.L. Butzer, J. Lei, Approximation of signals using measured sampled values and error analysis, Commun. Appl. Anal. 4 (2000) 245–255]. 相似文献
969.
S. V. Nekhoroshev Yu. P. Turov V. P. Nekhoroshev A. K. Golovko 《Russian Journal of Applied Chemistry》2006,79(7):1191-1195
A method for identification of explosive-containing commercial articles is suggested. The method is based on chromatographic analysis of petroleum products present in the articles as process admixtures and structural components. 相似文献
970.
V. V. Platonov A. A. Khadartsev A. Yu. Shvykin D. V. Prokopchenkov V. A. Proskuryakov T. V. Chestnova 《Russian Journal of Applied Chemistry》2006,79(10):1581-1587
The organic matter of schungite rock from the Zazhogino Deposit of Karelian Transonega region was extracted in the sequential mode. The extract composition was determined by several modern physicochemical methods. 相似文献