caa a22 4500 605515379 CHVBK 20210128100709.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00205-014-0780-7 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0780-7 Thermal Creep of a Rarefied Gas on the Basis of Non-linear Korteweg-Theory [Elektronische Daten] [Yong-Jung Kim, Min-Gi Lee, Marshall Slemrod] The study of thermal transpiration, more commonly called thermal creep, is accomplished by use of Korteweg's theory of capillarity. Incorporation of this theory into the balance laws of continuum mechanics allows resolution of boundary value problems via solutions to systems of ordinary differential equations. The problem was originally considered by Maxwell in his classic 1879 paper Maxwell (Phil Trans Roy Soc (London) 170:231-256, 1879). In that paper Maxwell derived what is now called the Burnett higher order contribution to the Cauchy stress, but was not able to solve his newly derived system of partial differential equations. In this paper the authors note that a more appropriate higher order contribution to the Cauchy stress follows from Korteweg's 1901 theory Korteweg (Arch Neerl Sci Exactes Nat Ser II 6:1-24, 1901). The appropriateness of Korteweg's theory is based on the exact summation of the Chapman-Enskog expansion given by Gorban and Karlin. The resulting balance laws are solved exactly, qualitatively, and numerically and the results are qualitatively similar to the numerical and exact results given by Aoki etal., Loyalka etal., and Struchtrup etal. Springer-Verlag Berlin Heidelberg, 2014 Kim Yong-Jung Department of Mathematical Sciences, KAIST, 305-701, Daejeon, Korea aut Lee Min-Gi Department of Mathematical Sciences, KAIST, 305-701, Daejeon, Korea aut Slemrod Marshall Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/2(2015-02-01), 353-379 0003-9527 215:2<353 2015 215 205 https://doi.org/10.1007/s00205-014-0780-7 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/s00205-014-0780-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kim Yong-Jung Department of Mathematical Sciences, KAIST, 305-701, Daejeon, Korea aut NATIONALLICENCE 700 1- Lee Min-Gi Department of Mathematical Sciences, KAIST, 305-701, Daejeon, Korea aut NATIONALLICENCE 700 1- Slemrod Marshall Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/2(2015-02-01), 353-379 0003-9527 215:2<353 2015 215 205