Ciprian G. Gal
Published 2012-10-29Version 1
We consider parabolic systems with nonlinear dynamic boundary conditions, for which we give a rigorous derivation. Then, we give them several physical interpretations which includes an interpretation for the porous-medium equation, and for certain reaction-diffusion systems that occur in mathematical biology and ecology. We devise several strategies which imply (uniform)}$L^{p} and}$L^{\infty}$ estimates on the solutions for the initial value problems considered.
Front selection in reaction-diffusion systems via diffusive normal forms
Regularity for parabolic systems with critical growth in the gradient and applications
Initial value problems for integrable systems on a semi-strip
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