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Research Article | Open Access

H1 solutions for a modified Korteweg-de Vries-Burgers type equation

Giuseppe Maria Coclite1( ), Lorenzo di Ruvo2
Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy
Dipartimento di Matematica, Università di Bari, via E. Orabona 4, 70125 Bari, Italy
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Abstract

This paper modeled the dynamics of microbubbles coated with viscoelastic shells using the modified Korteweg-de Vries-Burgers equation, a nonlinear third-order partial differential equation. This study focused on the well-posedness of the Cauchy problem associated with this equation.

Keywords

existenceuniquenessstabilitya modified Korteweg-de Vries-Burgers type equationcauchy problem

References

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Networks and Heterogeneous Media
Volume 19 Issue 2,
September 2024
Pages 724-739
DOI: 10.3934/nhm.2024032

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Coclite GM, di Ruvo L. H1 solutions for a modified Korteweg-de Vries-Burgers type equation. Networks and Heterogeneous Media, 2024, 19(2): 724-739. https://doi.org/10.3934/nhm.2024032

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Received: 13 February 2024
Revised: 24 June 2024
Accepted: 08 July 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)