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Propagation of polymerization fronts with liquid monomer and liquid polymer is considered
and the influence of vibrations on critical conditions of convective instability is
studied. The model includes the heat equation, the equation for the concentration and the
Navier-Stokes equations considered under the Boussinesq approximation. Linear stability
analysis of the problem is fulfilled, and the convective instability boundary is found
depending on...
The aim of this paper is to study the effect of vibrations on convective instability of
reaction fronts in porous media. The model contains reaction-diffusion equations coupled
with the Darcy equation. Linear stability analysis is carried out and the convective
instability boundary is found. The results are compared with direct numerical
simulations.
The paper contains conditions ensuring instantaneous shrinking of the support for solutions to semilinear parabolic equations with compactly supported coefficients of nonlinear terms and reaction-diffusion systems.
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