The reaction-diffusion system of Fitzhugh Nagumo is considered. The initialboundary problems with Neumann and Dirichlet conditions are analyzed. By means of an equivalent semilinear integrodifferential equation which characterizes several dissipative models of viscoelasticity, biology, and superconductivity, some results on existence, uniqueness and a priori estimates are deduced both in the li...

We present an integrated experimental and theoretical study of the dynamics rheology self-crosslinked, slightly charged, temperature responsive soft poly(N-isopropylacrylamide) (pNIPAM) microgels over a wide range concentration spanning sharp change in particle size intermolecular interactions across lower critical solution (LCST). Dramatic, non-monotonic changes viscoelasticity are observed as...