|
|||||
|
|
On the solvability of equations of a nonlinear viscous-ideal fluid |
|
| Authors: | I. V. Basov |
| Affiliation: | (1) M. A. Lavrent’ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, USSR |
| Abstract: | A model of the one-dimensional motion of a viscous compressible fluid is considered. A class of nonlinear stressed-state equations for which the initial boundary-value problem has global (in time) solutions in the class of generalized solutions satisfying the energy identity is described. In particular, media exhibiting viscous properties only for large strain rates are studied. Translated fromMatematicheskie Zametki, Vol. 68, No. 1, pp. 13–23, July, 2000. |
| Keywords: | nonlinear stressed-state equations one-dimensional notion of a viscous compressible fluid large strain rate Galerkin’ s method Schauder theorem continuity equation Gronwall’ s lemma |
| 本文献已被 SpringerLink 等数据库收录！ | |