Benabidallah, Rachid Global solution of the isothermal viscous gas equation in the half-space subject to a large external force derived from a potential. (Solution globale de l’equation d’un gaz visqueux isotherme dans le demi-espace assujetti à une grande force extérieure dérivant d’un potentiel.) (French) Zbl 0928.35130 J. Math. Kyoto Univ. 38, No. 1, 1-20 (1998). This paper states a theorem of global existence for a system of equations which define a simplified model describing the motion of viscous gas with a constant temperature, a pressure proportional to density, and subject to an external force ruled by a potential function. The proof is based upon six complex functional inequalities which are the core of the study. Reviewer: G.Jumarie (Montréal) Cited in 2 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76N15 Gas dynamics (general theory) Keywords:global existence; motion of viscous gas; functional inequalities PDFBibTeX XMLCite \textit{R. Benabidallah}, J. Math. Kyoto Univ. 38, No. 1, 1--20 (1998; Zbl 0928.35130) Full Text: DOI