Victor Valentinovich Vedenyapin, Anna Arkadievna Andreeva, Vasilisa V. Vorobyeva
Abstract
New kinetic equations are proposed from which the incompressible Euler and Navier–Stokes equations are derived by making an exact substitution. A class of exact solutions of the Navier–Stokes equation and the form of singularities for a gradient catastrophe are obtained.
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New kinetic equations are proposed from which the incompressible Euler and Navier–Stokes equations are derived by making an exact substitution. A class of exact solutions of the Navier–Stokes equation and the form of singularities for a gradient catastrophe are obtained.
Key concepts: Euler equations, Mathematics, Gravitational singularity, Navier–Stokes equations, Euler's formula, Semi-implicit Euler method, Mathematical analysis, Compressibility