The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
A small vicinity of a contact line, with well-defined (micro)scales (henceforth the
“microstructure”), is studied theoretically for a system of a perfectly wetting liquid,
its pure vapor and a superheated flat substrate. At one end, the microstructure terminates
in a non-evaporating microfilm owing to the disjoining-pressure-induced Kelvin effect. At
the other end, for motionless contact lines, it terminates in a constant film slope
(apparent contact...
A one-dimensional system describing the propagation of low Mach number flames in
sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatially periodic. The range of possible propagation speeds may be either bounded or unbounded, depending on the threshold temperatures of the burning and vaporization rates.
The paper is devoted to analysis of an elliptic-algebraic system of
equations describing heat explosion in a two phase medium filling a star-shaped domain. Three types
of solutions are found: classical, critical and
multivalued. Regularity of solutions is studied as well as their
behavior depending on the size of the domain and on the coefficient of
heat exchange between the two phases. Critical conditions of existence of solutions are found for arbitrary positive source function.
We show existence of solutions to two types of generalized anisotropic Cahn-Hilliard problems: In the first case, we assume the mobility to be dependent on the concentration and its gradient, where the system is supplied with dynamic boundary conditions. In the second case, we deal with classical no-flux boundary conditions where the mobility depends on concentration , gradient of concentration and the chemical potential . The existence is shown using a newly developed generalization of gradient...
We show that the entropy method, that has been used successfully in order to prove exponential convergence towards equilibrium with explicit constants in many contexts, among which reaction-diffusion systems coming out of reversible chemistry, can also be used when one considers a reaction-diffusion system corresponding to an irreversible mechanism of dissociation/recombination, for which no natural entropy is available.
We show that the entropy method, that has been used successfully in order
to prove exponential convergence towards equilibrium with explicit constants in many contexts,
among which reaction-diffusion systems coming out of reversible chemistry, can also be used
when one considers a reaction-diffusion system corresponding to an irreversible mechanism of
dissociation/recombination, for which no natural entropy is available.
In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent theory of well-posed infinite-dimensional linear systems, we prove that the system is...
Currently displaying 21 –
40 of
42