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Parameter delimitation of the weak solvability for a pseudo-parabolic system coupling chemical reactions,  diffusion and momentum equations
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för matematik och datavetenskap (from 2013).
Eindhoven University of Technology, The Netherlands.
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för matematik och datavetenskap (from 2013).ORCID-id: 0000-0002-1160-0007
2019 (engelsk)Inngår i: Advances in Mathematical Sciences and Applications, ISSN 1343-4373, Vol. 28, nr 1, s. 273-311Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The weak solvability of a nonlinearly coupled system of parabolic and pseudo-parabolic equations describing the interplay between mechanics, chemical reac- tions, diffusion and flow modelled within a mixture theory framework is studied via energy- like estimates and Gronwall inequalities. In analytically derived parameter regimes, these estimates ensure the convergence of discretized-in-time partial differential equa- tions. These regimes are tested and extended numerically. Especially, the dependence of the temporal existence domain of physical behaviour on selected parameters is shown.

sted, utgiver, år, opplag, sider
Tokyo: GAKKO TOSHO CO , 2019. Vol. 28, nr 1, s. 273-311
Emneord [en]
System of nonlinear parabolic and pseudo-parabolic equations, reaction-diffusion, weak solu- tions, existence, Rothe method, parameter delimitation
HSV kategori
Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:kau:diva-72198OAI: oai:DiVA.org:kau-72198DiVA, id: diva2:1319085
Tilgjengelig fra: 2019-05-29 Laget: 2019-05-29 Sist oppdatert: 2019-06-24bibliografisk kontrollert

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