2002/08/02 by Roman O. Popovych
Physics and Astronomy · Mathematics · #math-ph #math.AP #math.MP #nlin.SI #physics.flu-dyn #msc:35A30 #msc:58J70 #msc:35K05 #msc:35Q30 #msc:35Q35 #msc:76D05 #msc:76M60
published as Proccedings of the Third Inter. Conf. "Symmetry in Nonlinear Mathematical Physics", Kyiv, Institute of Mathematics, 2000, Part 1, 184-189 · LaTeX2e, 7 pages
arxiv created 2002/08/02 · arxiv updated 2009/11/30
The definition of Q-conditional symmetry for one PDE is correctly generalized to a special case of systems of PDEs and involutive families of operators. The notion of equivalence of Q-conditional symmetries under a group of local transformation is introduced. Using this notion, all possible single Q-conditional symmetry operators are classified for the n-dimensional (n >= 2) linear heat equation and for the Euler equations describing the motion of an incompressible ideal fluid.