GENERIC PROPERTIES OF SOLUTIONS OF THREE-DIMENSIONAL STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS
SWAPNA V. UDDHAO
Department of Mathematics, RTM Nagpur University, University Campus, Nagpur-440033, India
R. V. SARAYKAR *
Department of Mathematics, RTM Nagpur University, University Campus, Nagpur-440033, India
*Author to whom correspondence should be addressed.
Abstract
In this paper, following Motyl E. [1,2], we prove some generic properties of solutions of stationary incompressible MHD equations. For this, we use Implicit Function Theorem, Smale Density Theorem and properties of compact and Fredholm operators.
Keywords: Generic properties, magnetohydrodynamic equations, weak solutions, implicit function theorem, Smale density theorem, Fredholm operators