Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method
dc.contributor.author | Ito, Kazufumi | |
dc.date.accessioned | 2018-08-24T20:22:11Z | |
dc.date.available | 2018-08-24T20:22:11Z | |
dc.date.issued | 1996-06-18 | |
dc.description.abstract | In this paper we consider the non-isentropic equations of gas dynamics with the entropy preserved. Equations are formulated so that the problem is reduced into the 2 × 2 system of conservation laws with a forcing term in momentum equation. The method of compensated compactness is then applied to prove the existence of weak solution in the vanishing viscosity method. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 17 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Ito, K. (1996). Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method. <i>Electronic Journal of Differential Equations, 1996</i>(04), pp. 1-17. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/7611 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 1996, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Compensated compactness | |
dc.subject | Conservation laws | |
dc.subject | Entropy | |
dc.title | Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method | en_US |
dc.type | Article |