We prove that under mild regularity assumptions on the initial data the two-phase classical Stefan problem admits a (unique) solution that is analytic in space and time.
This note is concerned with a quantitative model describing the interaction of three sociological species , termed as owners, criminals and security guards, and respectively denoted by X, Y and Z. In our model, Y is a predator for the species X, and so is Z with respect to Y. Moreover, Z can also be thought of as a predator for X, since this last population… (More)
Received (Day Month Year) Revised (Day Month Year) Communicated by (xxxxxxxxxx) We consider a convection-diffusion problem in a porous medium saturated by a solution of a chemical substance A in water. A nonlinear non-equilibrium kinetics of sorp-tion/desorption of A on the porous matrix is assumed. We assume that the chemical substance can be transported… (More)
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