caa a22 4500 606166602 CHVBK 20210128100659.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10440-014-9883-2 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9883-2 Structural Stability in Local Thermal Non-equilibrium Porous Media [Elektronische Daten] [F. Passarella, B. Straughan, V. Zampoli] We consider a theory for local thermal non-equilibrium in a porous medium where the solid and fluid components may have different temperatures. A priori estimates are derived for a solution to the governing partial differential equations and these are employed in an analysis of continuous dependence and of convergence. It is shown that the solution depends continuously on changes in the coefficient governing the interaction between the fluid and solid temperatures. This coefficient is key to the theory since this is where the equations are coupled. We also prove a convergence result demonstrating that the solution converges appropriately as the coupling coefficient vanishes. Springer Science+Business Media Dordrecht, 2014 Local thermal non-equilibrium nationallicence Structural stability nationallicence Porous media nationallicence Convergence nationallicence Passarella F. Dipartimento di Ingegneria Industriale, Università di Salerno, 84084, Fisciano, SA, Italy aut Straughan B. Department of Mathematical Sciences, Durham University, DH1 3LE, Durham, UK aut Zampoli V. Dipartimento di Ingegneria Meccanica, Energetica e Gestionale, Università della Calabria, 87036, Arcavacata di Rende, CS, Italy aut Acta Applicandae Mathematicae Springer Netherlands 136/1(2015-04-01), 43-53 0167-8019 136:1<43 2015 136 10440 https://doi.org/10.1007/s10440-014-9883-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9883-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Passarella F. Dipartimento di Ingegneria Industriale, Università di Salerno, 84084, Fisciano, SA, Italy aut NATIONALLICENCE 700 1- Straughan B. Department of Mathematical Sciences, Durham University, DH1 3LE, Durham, UK aut NATIONALLICENCE 700 1- Zampoli V. Dipartimento di Ingegneria Meccanica, Energetica e Gestionale, Università della Calabria, 87036, Arcavacata di Rende, CS, Italy aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 136/1(2015-04-01), 43-53 0167-8019 136:1<43 2015 136 10440