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Nonlinear integro-differential models for intense waves in media like biological tissues and geostructures with complex internal relaxation-type dynamics
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för maskinteknik.
2014 (engelsk)Inngår i: Acoustical Physics, ISSN 1063-7710, E-ISSN 1562-6865, Vol. 60, nr 4, s. 398-404Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The paper discusses a universal scheme for constructing nonlinear integro-differential models to describe intense waves in media with a complex internal relaxation-type dynamics. Examples of such media are presented. Various forms of kernels are described. Situations are shown in which the models can be simplified by reducing them to differential or differential-difference equations with partial derivatives. Integral relations for the linear momentum and energy transferred by the wave are obtained. Exact solutions are found. The mapping method is used to obtain approximate solutions and analyze them in the form of difference relations.

sted, utgiver, år, opplag, sider
Maik Nauka/Springer , 2014. Vol. 60, nr 4, s. 398-404
Emneord [en]
nonlinearity, integro-differential equations, relaxation, kernel, absorption, dispersion, exact solution, shock wave
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-6594DOI: 10.1134/S1063771014040162ISI: 000339380800005Lokal ID: oai:bth.se:forskinfoF9E3085DB7FD4C26C1257D6D0034C26DOAI: oai:DiVA.org:bth-6594DiVA, id: diva2:834112
Tilgjengelig fra: 2014-10-10 Laget: 2014-10-10 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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