On the navier-stokes equation with the additional conditionu 1 1 =u 3=0
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We study the Navier-Stokes equation with the additional conditionu 1 1 =u 3=0. In certain cases, solutions are represented in a closed form. In other cases, the investigated system reduces to simpler systems of partial differential equations. We study the symmetry properties of these systems and construct classes of their particular solutions.
KeywordsPartial Differential Equation Additional Condition Symmetry Property Equivalence Transformation Arbitrary Solution
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- 2.Yu. A. Danilov,Group Properties of the Maxwell and Navier-Stokes Equations [in Russian], Preprint, Kurchatov Institute ofAtomic Energy, Academy of Sciences of the USSR, Moscow (1967).Google Scholar