Publication: Stability of shock wave structures in nonlinear elastic media
Дата
2019
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Аннотация
© The Author(s) 2019.The stationary structure stability of discontinuous solutions to nonlinear hyperbolic equations describing the propagation of quasi-transverse waves with velocities close to characteristic ones are studied. A procedure to analyze spectral (linear) stability of these solutions is described. The main focus is the stability analysis of special discontinuities, the stationary structure of which is represented by the integral curve connecting two saddle points corresponding to the states in front of and behind the discontinuity. This analysis is done using the properties of the Evans function, an analytic function on the right complex half-plane, which has zeros in this domain if and only if there exist unstable modes of linearization around a solution representing a special discontinuity with the structure.
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Chugainova, A. P. Stability of shock wave structures in nonlinear elastic media / Chugainova, A.P., Il'ichev, A.T., Shargatov, V.A. // Mathematics and Mechanics of Solids. - 2019. - 10.1177/1081286519847710
URI
https://www.doi.org/10.1177/1081286519847710
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https://openrepository.mephi.ru/handle/123456789/18314
https://www.scopus.com/record/display.uri?eid=2-s2.0-85067801158&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000486834200007
https://openrepository.mephi.ru/handle/123456789/18314