We study the existence and uniqueness of solution a non-linear coupled system constituted degenerate diffusion-growth-fragmentation equation differential equation, resulting from modeling bacterial growth in chemostat. This is derived, large population approximation, stochastic individual-based model where each individual characterized by non-negative real valued trait described diffusion. Two ...

This paper is concerned with the well-posedness of a diffusion-reaction system for Susceptible-Exposed-Infected-Recovered (SEIR) mathematical model. model written in terms four nonlinear partial differential equations diffusions, depending on total amount SEIR populations. The aims at describing spatio-temporal spread COVID-19 pandemic and variation one recently introduced, discussed tested [A....

We derive a model for the non-isothermal reaction-diffusion equation. Combining ideas from non-equilibrium thermodynamics with energetic variational approach we obtain general system modeling evolution of chemical reaction mass kinetics. From this recover linearized close to equilibrium and analyze global-in-time well-posedness small initial data critical Besov space.

We investigate the well-posedness of fast diffusion equation (FDE) on noncompact Riemannian manifolds. Existence and uniqueness solutions for L 1 <mml:annotation encoding="application/x-tex"...

in this study, the effect of temperature on the diffusion welding of az31 magnesium alloy and 7075 aluminum was discussed. diffusion welding temperature was the most important parameter since all mechanisms are sensitive to temperature in diffusion welding method. intrusive contacts between the two alloys at temperatures of 430, and 440 °c 450 and took 60 min. in all tests constant pressure and...

In this work, adsorption kinetics were investigated in order to remove the acid blue 62 off the aqueous solutions using mesoporous silicate SBA-15 loaded with tannic acid (tannin-SBA-15). Nitrogen adsorption and desorption test (BET), X-ray diffraction (XRD) and Fourier transform infra-red spectroscopy (FT-IR) analysis characterize synthesized composite. The impacts of some parameters such as P...