Volume 2, Issue 3-4, September 1995, Pages 236 - 246
Regular Partially Invariant Submodels of Gas Dynamics Equations
- L.V. OVSYANNIKOV, A.P. CHUPAKHIN
- Corresponding Author
- L.V. OVSYANNIKOV
Available Online 19 December 2006.
- https://doi.org/10.2991/jnmp.1995.2.3-4.3How to use a DOI?
- The Program SUBMODELS  is aimed to exhaust all possibilities derived from the symmetry of differential equations for construction of submodels (i.e., systems of equations of the reduced dimension) which describe classes of exact solutions for initial equations. In the frame of this Program, our paper communicates the description of all (up to similarity) regular submodels for the system of Gas Dynamics with the general state equation. Submodels are classified by their types (, ), where is a rank and is a defect. Regularity of a submodel means that invariant independent variables are functions of initial independent variables only. The classification tables, comments to them, and some characteristic examples are presented.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - L.V. OVSYANNIKOV AU - A.P. CHUPAKHIN PY - 2006 DA - 2006/12 TI - Regular Partially Invariant Submodels of Gas Dynamics Equations JO - Journal of Nonlinear Mathematical Physics SP - 236 EP - 246 VL - 2 IS - 3-4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1995.2.3-4.3 DO - https://doi.org/10.2991/jnmp.1995.2.3-4.3 ID - OVSYANNIKOV2006 ER -