On deterministic approximation of Markov processes by ordinary differential equations.
On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives
The experimentally known phenomenon of oscillatory instability in convective burning of porous explosives is discussed. A simple phenomenological model accounting for the ejection of unburned particles from the consolidated charge is formulated and analyzed. It is shown that the post-front hydraulic resistance induced by the ejected particles provides a mechanism for the oscillatory burning.
On the structure of a distinguished-limit quasi-isothermal deflagration for the generalized reaction-rate model.
On the structure of the deflagration for the generalized reaction-rate model.
Optimal chemical balance weighing designs for objects
The paper studies the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number times in which each object is weighed. Conditions under which the existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical balance weighing design for objects are given. The existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical...
Pattern Formation Induced by Time-Dependent Advection
We study pattern-forming instabilities in reaction-advection-diffusion systems. We develop an approach based on Lyapunov-Bloch exponents to figure out the impact of a spatially periodic mixing flow on the stability of a spatially homogeneous state. We deal with the flows periodic in space that may have arbitrary time dependence. We propose a discrete in time model, where reaction, advection, and diffusion act as successive operators, and show that...
Robust control of continuous bioprocesses.
Solvability of a coupled system of parabolic and ordinary differential equations
A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.
Spatial localization for a general reaction-diffusion system
Stokes efficiency of molecular motor-cargo systems.
The Becker-Döring model with diffusion. I. Basic properties of solutions
Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems.
Time-discretization of a degenerate reaction-diffusion equation arising in biofilm modeling.