Physics applications
Bounded Variation Functions

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Physics applications


Bounded Variation Functions

Author : Jean-Charles PINOLI

Publication date: May 10, 2025 | Lire en français

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14.  Physics applications

14.1  Reaction-diffusion systems

A reaction-diffusion system is classically described mathematically by semi-linear parabolic partial differential equations. These systems are used in physics (in the broadest sense): biology, chemistry, ecology, geology, etc., to describe the evolution of concentrations of one or more substances spatially distributed and subject to both a diffusion and a reaction process.

The most basic reaction-diffusion equation deals with a single substance and is called Fisher's reaction-diffusion equation (1937). This equation is formulated as follows in U × ]0,t m [ where U...

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