Propagation of the strong shock in the flat expanding Friedman universe is investigated using methods of dimension and similarity. Exact analytic solution of self-similar equations is obtained, determining dependences of the radius and velocity of the shock wave on time and radius. 104 more words
Tags » Mathematical Physics
Galaxies with Supermassive Binary Black Holes: (II) A Model with Cuspy Galactic Density Profiles [GA]
>Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo
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We examine in detail the relative equilibria of the 4-vortex problem when three vortices have equal strength, that is, Γ1=Γ2=Γ3=1, and Γ4 is a real parameter.
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We derive an adiabatic theory for a stochastic differential equation, εdX(s)=L1(s)X(s)ds+ε√L2(s)X(s)dBs, under a condition that instantaneous stationary states of L1(s) are also stationary states of L2(s).
Theory of orthogonality of eigenfunctions of the characteristic equations as a method of solution boundary problems for model kinetic equations
A. V. Latyshev, A. D. Kurilov
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We consider two classes of linear kinetic equations: with constant collision frequency and constant mean free path of gas molecules (i.e., frequency of molecular collisions, proportional to the modulus molecular velocity).