Are waves with negative spatial damping unstable?

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dc.contributor.authorStruchtrup, Henning
dc.contributor.authorNadler, Ben
dc.date.accessioned2020-06-18T22:24:38Z
dc.date.available2020-06-18T22:24:38Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractConventional plane harmonic waves decay in direction of propagation, but unconventional harmonic waves grow in the direction of propagation. While a single unconventional wave cannot be a solution to a physically meaningful boundary value problem, these waves may have an essential contribution to the overall solution of a problem as long as this is a superposition of unconventional and conventional waves. A fourth order diffusion equation with proper thermodynamic structure, and the Burnett equations of rarefied gas dynamics exhibit conventional and unconventional waves. Steady state oscillating boundary value problems are considered to discuss the interplay of conventional and unconventional waves. Results show that as long as the second law of thermodynamics is valid, unconventional waves may contribute to the overall solution, which, however is dominated by conventional waves, and behaves as these.en_US
dc.description.embargo2021-09-01
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipNSERC, grant numbers RGPIN-2016-03679 and RGPIN-2018-04573en_US
dc.identifier.citationStruchtrup, H. & Nadler, B. (2020, Septemeber). Are waves with negative spatial damping unstable? Wave Motion, 92. https://doi.org/10.1016/j.wavemoti.2020.102612en_US
dc.identifier.urihttps://doi.org/10.1016/j.wavemoti.2020.102612
dc.identifier.urihttp://hdl.handle.net/1828/11857
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectwaves, stability, entropy, 2nd law of thermodynamics
dc.subject.departmentDepartment of Mechanical Engineering
dc.titleAre waves with negative spatial damping unstable?en_US
dc.typeArticleen_US

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