Acoustic and Shallow Water Wave Propagation with Irregular Dissipation

2019

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DOI 10.1134/s0016266319020114
Data confidence 85 high
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Abstract

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.