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Group classification of two-dimensional stable viscous gas equations

Affiliation:	1. Laboratory of Veterinary Pathology, College of Veterinary Medicine, Chonnam National University, Gwangju 61186, Republic of Korea;2. Eco-friendly Material Research Center, Korea Research Institute of Bioscience and Biotechnology, Jeongeup-si, Jeonbuk 580-185, Republic of Korea;1. Faculté des Sciences (Semlalia), Département de Physique, B.P. S15, Marrakech, Morocco;2. Université Pierre et Marie Curie, Laboratoire de Modélisation en Mécanique (URA CNRS 229), Tour 66, 4 place Jussieu, Case 162, 75252 Paris Cédex 05, France;1. Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong;2. Department of Mathematics, Northwest University, Xi''an, 710069, People''s Republic of China;3. Area Fisica Teorica, Universidad de Salamanca, 37008, Salamanca, Spain

Abstract:	Group classification of viscous gas equations in two-dimensional case is made. Exact solutions of simplified equations and complete equations of viscous gas are compared on the one model problem. This comparison shows that simplified equations have the same order as boundary layer equations.

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