Traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity

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dc.contributor.authorIchida, Yu
dc.date.accessioned2023-05-19T19:26:39Z
dc.date.available2023-05-19T19:26:39Z
dc.date.issued2023-01-16
dc.description.abstractWe consider traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity. We investigate how the existence of traveling waves, their shapes, and asymptotic behavior change with the presence or absence of an inertial term. These are studied by applying the framework that combines Poincare compactification, classical dynamical systems theory, and geometric methods for the desingularization of vector fields. We report that the presence of this term causes the shapes to change significantly for sufficiently large wave speeds.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationIchida, Y. (2023). Traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity. <i>Electronic Journal of Differential Equations, 2023</i>(05), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16840
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectMEMS type equation
dc.subjectPoincare compactification
dc.subjectDesingularization of vector fields (blow-up)
dc.subjectAsymptotic behavior
dc.titleTraveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity
dc.typeArticle

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