Existence results for the Kudryashov–Sinelshchikov–Olver equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2020 English Publisher:Cambridge University Press (CUP)Journal:Proceedings of the Royal Society of Edinburgh: Section A Mathematics, volume 151, pages 425-450 (issn: 0308-2105, eissn: 1473-7124,

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Authors: Coclite, Giuseppe Maria; Di Ruvo, Lorenzo;

doi: 10.1017/prm.2020.23

Existence results for the Kudryashov–Sinelshchikov–Olver equation

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Abstract

AbstractThe Kudryashov–Sinelshchikov–Olver equation describes pressure waves in liquids with gas bubbles taking into account heat transfer and viscosity. In this paper, we prove the existence of solutions of the Cauchy problem associated with this equation.

Related Organizations

University of Bari Aldo Moro
Italy
Polytechnic University of Bari
Italy

Keywords

Nonlinear parabolic equations, PDEs in connection with fluid mechanics, pressure waves in liquids with gas bubbles, Initial value problems for nonlinear higher-order PDEs

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