On the Longtime Behavior of Almost Periodic Entropy Solutions to Scalar Conservation Laws

被引：0
|
作者：
Panov, Evgeny Yu. [1 ]
机构：
[1] Novgorod State Univ, 41 B St Peterburgskaya Str, Veliky Novgorod 173003, Russia
来源：
THEORY, NUMERICS AND APPLICATIONS OF HYPERBOLIC PROBLEMS II | 2018年 / 237卷
基金：
俄罗斯基础研究基金会;
关键词：
Almost periodic entropy solutions; Decay property; Scalar conservation laws; Spectrum; Traveling waves; CAUCHY-PROBLEM; DECAY;
D O I：
10.1007/978-3-319-91548-7_30
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We found the precise condition for the decay as t ->infinity of Besicovitch almost periodic entropy solutions of multidimensional scalar conservation laws. Moreover, in the case of one space variable we establish asymptotic convergence of the entropy solution to a traveling wave (in the Besicovitch norm). Besides, the flux function turns out to be affine on the minimal segment containing the essential range of the limit profile while the speed of the traveling wave coincides with the slope of the flux function on this segment.
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页码：391 / 403
页数：13
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