Abstract:
A new class of exact solutions with functional arbitrariness describing the motion of a polytropic gas is constructed on the basis of invariant submodels of rank two of the evolutionary type. In the solutions obtained, the velocity is a linear function of some spatial coordinates. These solutions describe continuous gas dispersion and the motion with density collapse at a finite time.
Citation:
S. V. Golovin, “Exact solutions for evolutionary submodels of gas dynamics”, Prikl. Mekh. Tekh. Fiz., 43:4 (2002), 3–14; J. Appl. Mech. Tech. Phys., 43:4 (2002), 493–502
This publication is cited in the following 2 articles:
Yu. V. Yulmukhametova, “The solution of equations of ideal gas that describes Galileo invariant motion with helical level lines, with the collapse in the helix”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 223:4 (2019), 797–808
S. V. Golovin, “Plane ovsyannikov vortex: Motion properties and exact solutions”, J. Appl. Mech. Tech. Phys., 49:6 (2008), 934–945