The equation u t = u xx + u(1 - u) is the simplest reaction-diffusion equation. Introduction of a small parameter allows construction of geometric optics approximations for the solutions of such ...

Reaction-diffusion systems represent a fundamental mathematical framework to model the interplay between local reactive processes and diffusive transport of substances. These systems have wide-ranging ...

SIAM Journal on Applied Mathematics, Vol. 53, No. 4 (Aug., 1993), pp. 1026-1044 (19 pages) A system of reaction-diffusion equations modeling two-species competition in an unstirred chemostat is ...

Mathematical modelling has emerged as an indispensable tool in understanding and optimising biosensor performance and reaction-diffusion processes. By coupling differential equations that describe ...

Observing nature shows that many temporal and spatial structures are not formed by the outside, but rather by the respective system itself. To study these self-organizing processes is the subject of ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Real Gases Real gases. Compressibility Factor. Van der Waals Equation. Condensation of gases. Principle of Corresponding States. Math Interlude Partial Differentiation. Thermodynamics First Law.