Asymptotic justification of the conserved phase-field model with memory.
Asymptotic solution of nonlinear moment equations for constant-rate aerosol reactors.
Asymptotics of the scattering frequencies for a thermoelasticity problem with small thermal conductivity
Asynchronous domain decomposition methods for dam and continuous casting problems
Attractors of Strongly Dissipative Systems
A class of infinite-dimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge to this point as t → +∞, no matter what the initial conditions are. This class consists of strongly dissipative systems. An example of such systems is provided by passive systems in network theory (see, e.g., MR0601947...
Behavior of critical solutions of a nonlocal hyperbolic problem in Ohmic heating of foods.
Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
We are concerned with the boundedness and large time behaviour of the solution for a system of reaction-diffusion equations modelling complex consecutive reactions on a bounded domain under homogeneous Neumann boundary conditions. Using the techniques of E. Conway, D. Hoff and J. Smoller [3] we also show that the bounded solution converges to a constant function as t → ∞. Finally, we investigate the rate of this convergence.
Blow-up of radially symmetric solutions of a non-local problem modelling Ohmic heating.
Boundary layer resolution in hierarchical models of laminated composites
C++ tools to construct our user-level language
The aim of this paper is to present how to make a dedicaded computed language polymorphic and multi type, in C++to solve partial differential equations with the finite element method. The driving idea is to make the language as close as possible to the mathematical notation.
C++ Tools to construct our user-level language
The aim of this paper is to present how to make a dedicaded computed language polymorphic and multi type, in C++ to solve partial differential equations with the finite element method. The driving idea is to make the language as close as possible to the mathematical notation.
Calculation of some integrals arising in heat transfer in geothermics.
Calculation of some integrals arising in heat transfer in grinding.
Caloric measure and Reifenberg flatness.
Characteristic phenomena in combustion.
Combustion in hydraulically resisted flows.
The effects of hydraulic resistance on premixed gas combustion in tubes and inert porous beds are discussed on the basis of recent research. It is found that the hydraulic resistance causes a gradual precompression and preheating of the unburned gas adjacent to the advancing deflagration which may lead (after an extended induction period) to a localized thermal explosion triggering an abrupt transition from deglagrative to detonative combustion. The hydraulic resistance has a profound effect also...
Compact attractors for a Stefan problem with kinetics.
Comparative analysis of power-law fin-type problems using variational iteration method and finite element method.
Comparison and analysis of some numerical schemes for stiff complex chemistry problems
Comportamiento asintótico de las ecuaciones de la termoelasticidad generalizada.
In this paper it is first shown that the linear evolution equations for a generalized thermoelastic solid generate a C0 semigroup. Next an analysis of the long time evolution behaviour yields the some results known for classical thermoelasticity: generically, the natural state is asymptotically stable.