So far, there are described in the literature two ways to superize the Liouville equation:
for a scalar field (for N 4) and for a vector-valued field (analogs of the Leznov
Saveliev equations) for N = 1. Both superizations are performed with the help of
NeveuSchwarz superalgebra. We consider another...
In the homogenization of monotone parabolic partial differential equations with oscilations in both the space and time variables the gradients converges only weakly in Lp
In the present paper we construct a family of correctors, such that, up to a remainder
which converges to zero strongly in Lp
We prove the existence of non-decaying real solutions of the Johnson equation, vaishing as x +. We obtain asymptotic formulas as t for the solutions in the
form of an infinite series of asymptotic solitons with curved lines of constant phase
and varying amplitude and width.
Several N -body problems in ordinary (3-dimensional) space are introduced which are
characterized by Newtonian equations of motion ("acceleration equal force;" in most
cases, the forces are velocity-dependent) and are amenable to exact treatment ("solable" and/or "integrable" and/or "linearizable")....
A toy top is defined as a rotationally symmetric body moving in a constant gravittional field while one point on the symmetry axis is constrained to stay in a horizontal
plane. It is an integrable system similar to the Lagrange top. Euler-Poisson equtions are derived. Following Felix Klein, the special...