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dc.contributor.authorMeirmanov, Anvarbek ( )
dc.contributor.authorSazhenkov, Sergey ( )
dc.date.accessioned2021-08-05T14:13:39Z
dc.date.available2021-08-05T14:13:39Z
dc.date.issued2007-03-09
dc.identifier.citationMeirmanov, A. M., & Sazhenkov, S. A. (2007). Generalized solutions to linearized equations of thermoelastic solid and viscous thermofluid. Electronic Journal of Differential Equations, 2007(41), pp. 1-29.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14201
dc.description.abstractWithin the framework of continuum mechanics, the full description of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy balance equations, the first and the second laws of thermodynamics, and an additional set of thermomechanical state laws. The present paper is devoted to the investigation of this system. Assuming that variations of the physical characteristics of the thermomechanical system of the fluid and the solid are small about some rest state, we derive the linearized non-stationary dynamical model, prove its well-posedness, establish additional refined global integral bounds for solutions, and further deduce the linearized incompressible models and models incorporating absolutely rigid skeleton, as asymptotic limits.en_US
dc.formatText
dc.format.extent29 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectThermoelastic soliden_US
dc.subjectViscous thermofluiden_US
dc.subjectCompressibilityen_US
dc.subjectLinearizationen_US
dc.subjectExistence and uniqueness theoryen_US
dc.subjectWeak generalized solutionsen_US
dc.titleGeneralized solutions to linearized equations of thermoelastic solid and viscous thermofluiden_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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