Acoustic and Shallow Water Wave Propagation with Irregular Dissipation

被引：3

作者：

Munoz, J. C. ^{[1
]}

Ruzhansky, M. ^{[2
,3
,4
]}

Tokmagambetov, N. ^{[5
,6
]}

机构：

[1] Univ Valle, Dept Math, Cali, Colombia

[2] Imperial Coll, Dept Math, London, England

[3] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium

[4] Queen Mary Univ London, Sch Math Sci, London, England

[5] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan

[6] Inst Math & Math Modeling, Alma Ata, Kazakhstan

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2019年 / 53卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

acoustic equation; shallow water; Cauchy problem; dissipative wave equation; EQUATION;

D O I：

10.1134/S0016266319020114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：153 / 156

页数：4

共 18 条

[1] FREQUENCY CONTENT OF RANDOMLY SCATTERED SIGNALS [J].