Email this article Acoustic and Shallow Water Wave Propagation with Irregular Dissipation
- Authors: Muñoz J.C.1, Ruzhansky M.2,3,4, Tokmagambetov N.5,6
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Affiliations:
- Department of Mathematics, Universidad del Valle
- Department of Mathematics, Imperial College
- Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University
- School of Mathematical Sciences, Queen Mary University of London
- al-Farabi Kazakh National University
- Institute of Mathematics and Mathematical Modeling
- Issue: Vol 53, No 2 (2019)
- Pages: 153-156
- Section: Brief Communication
- URL: https://journals.rcsi.science/0016-2663/article/view/234596
- DOI: https://doi.org/10.1134/S0016266319020114
- ID: 234596
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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.
About the authors
J. C. Muñoz
Department of Mathematics, Universidad del Valle
Author for correspondence.
Email: jcarlmz@yahoo.com
Colombia, Cali
M. Ruzhansky
Department of Mathematics, Imperial College; Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University; School of Mathematical Sciences, Queen Mary University of London
Email: jcarlmz@yahoo.com
United Kingdom, London; Ghent; London
N. Tokmagambetov
al-Farabi Kazakh National University; Institute of Mathematics and Mathematical Modeling
Email: jcarlmz@yahoo.com
Kazakhstan, Almaty; Almaty
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