Integral bounds for solutions of nonlinear reaction-diffusion equations
β Scribed by Cornelius O. Horgan
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 383 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0044-2275
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
kinetic model is proposed for a surface-supported biological film (bioparticle) employed in many biological processes. The equations that govern kinetic and diffusion-controlled substrate uptake by the attached organisms are invariably nonlinear and analytical solutions if any are impossible to find
We show how to construct integral results for the multi-dimensional nonlinear diffusion equation Oc/Ot=V.(D(c)Vc), and for some generalisations of this. For appropriate boundary conditions these become integral invariants. An application of these results to determining the large-time behaviour of so
General criteria which either preclude time-periodic dissipative structure solutions or imply asymptotically steady solutions are derived for generic systems of reaction-diffusion equations ~ct[at = DtV2c~ + Qt(c) subject to boundary conditions of practical interest, where the enumerator index i run