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Explicit expressions for restricted partition function W(s,dm) and its quasiperiodic components Wj(s,dm) (called Sylvester waves) for a set of positive integers dm = {d1, d2, ..., dm} are derived.… (More)

Abstract We characterize the coarsening dynamics associated with a convective Cahn-Hilliard equation (cCH) in one space dimension. First, we derive a sharp-interface theory through a matched… (More)

AbstractA new recursive procedure of the calculation of partition numbers function W(s, dm) is suggested. We find its zeroes and prove a lemma on the function parity properties. The explicit formulas… (More)

We find the existence conditions of unduloidal and nodoidal menisci between two solid spheres and study their stability in the framework of nonspectral theory of stability of axisymmetric menisci… (More)

The profiles of a spreading wetting film are computed using a variable grid implicit scheme. The form of Tanner’s law is deduced from the scaling, and the dependence of its coefficient on ratio of… (More)

The behavior of stationary and moving spatially-periodic patterns in a simple cross-flow reactor was simulated and analyzed for a situation in which reactant is supplied continuously along the… (More)

Explicit expressions for restricted partition function W(s,dm) and its quasiperiodic components Wj(s,dm) (called Sylvester waves) for a set of positive integers dm={d1,d2,…,dm} are derived. The… (More)

We analyze the statistical behavior of signals in nonlinear circuits with delayed feedback in the presence of external Markovian noise. For the special class of circuits with intense phase mixing we… (More)

The convective Cahn–Hilliard (CCH) equation, ut + (uxx + u − u 3 )xx − (D/2)(u 2 )x = 0, has been suggested recently for the description of several physical phenomena, including spinodal… (More)

A statistical theory for the evolution of radiation in a cavity excited by a partially coherent signal is constructed based on a simple theoretical model for a ring cavity with a nonlinear element,… (More)