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