Acoustic and Shallow Water Wave Propagation with Irregular Dissipation


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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.

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J. Muñoz

Department of Mathematics, Universidad del Valle

编辑信件的主要联系方式.
Email: jcarlmz@yahoo.com
哥伦比亚, 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
英国, London; Ghent; London

N. Tokmagambetov

al-Farabi Kazakh National University; Institute of Mathematics and Mathematical Modeling

Email: jcarlmz@yahoo.com
哈萨克斯坦, Almaty; Almaty

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