Acoustic and Shallow Water Wave Propagation with Irregular Dissipation

Acoustic and Shallow Water Wave Propagation with Irregular Dissipation
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不规则耗散的声波和浅水波传播

DOI:
10.1134/s0016266319020114
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发表时间:
2019
影响因子:
0.4
通讯作者:
N. Tokmagambetov
N. Tokmagambetov
中科院分区:
数学4区
文献类型:
--
作者:
J. Muñoz;Michael Ruzhansky;N. Tokmagambetov

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本文研究了具有奇异耗散的声波和浅水波传播物理模型的“很弱”解问题。证明了一类新的解的存在性。得到了问题的一个很弱解的存在性定理。最后证明了当经典解存在时,很弱解与经典解在一定意义上是一致的。
Questions related to “very weak” solutions of physical models of acoustic and shallow water wave propagation with singular dissipation are studied. The existence of a new type of solutions is proved. An existence theorem for a very weak solution of the problem is obtained. Finally it is shown that very weak solutions are consistent with classical ones in a certain sense, provided that the latter exist.
DOI: 10.1007/s00205-014-0830-1
发表时间: 2014
影响因子: 2.5
作者:
Garetto C
通讯作者: Garetto C