Wave patterns in one-dimensional nonlinear degenerate diffusion equations
Several different types of wave patterns occur in physiology, chemistry and biology. In many cases such phenomena are modelled by reactive-diffusive parabolic systems (see, for example, Fisher 1937; Kolmogorov et al. 1937; Winfree 1988; Murray 1989; Swinney & Krinsky 1992). In many biologi...
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| Format: | Book section |
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Plenum Press
1993
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| _version_ | 1797061057004437504 |
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| author | Sánchez-Garduño, F Maini, P |
| author_facet | Sánchez-Garduño, F Maini, P |
| author_sort | Sánchez-Garduño, F |
| collection | OXFORD |
| description | Several different types of wave patterns occur in physiology, chemistry and biology. In many cases such phenomena are modelled by reactive-diffusive parabolic systems (see, for example, Fisher 1937; Kolmogorov et al. 1937; Winfree 1988; Murray 1989; Swinney & Krinsky 1992). In many biological and physical situations, dispersal is modelled by a density-dependent diffusion coefficient, for example, the bacterium Rhizobium diffuses through the roots of some leguminosae plants according to a nonlinear diffusive law (Lara-Ochoa & Bustos 1990); nonlinear diffusion has been observed in the dispersion of some insects (Okubo 1980) and small rodents (Meyers & Krebs 1974). |
| first_indexed | 2024-03-06T20:25:39Z |
| format | Book section |
| id | oxford-uuid:2f4d9aff-72ea-4866-82f1-7b2ce96ba139 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:25:39Z |
| publishDate | 1993 |
| publisher | Plenum Press |
| record_format | dspace |
| spelling | oxford-uuid:2f4d9aff-72ea-4866-82f1-7b2ce96ba1392022-03-26T12:54:24ZWave patterns in one-dimensional nonlinear degenerate diffusion equationsBook sectionhttp://purl.org/coar/resource_type/c_3248uuid:2f4d9aff-72ea-4866-82f1-7b2ce96ba139Mathematical Institute - ePrintsPlenum Press1993Sánchez-Garduño, FMaini, PSeveral different types of wave patterns occur in physiology, chemistry and biology. In many cases such phenomena are modelled by reactive-diffusive parabolic systems (see, for example, Fisher 1937; Kolmogorov et al. 1937; Winfree 1988; Murray 1989; Swinney & Krinsky 1992). In many biological and physical situations, dispersal is modelled by a density-dependent diffusion coefficient, for example, the bacterium Rhizobium diffuses through the roots of some leguminosae plants according to a nonlinear diffusive law (Lara-Ochoa & Bustos 1990); nonlinear diffusion has been observed in the dispersion of some insects (Okubo 1980) and small rodents (Meyers & Krebs 1974). |
| spellingShingle | Sánchez-Garduño, F Maini, P Wave patterns in one-dimensional nonlinear degenerate diffusion equations |
| title | Wave patterns in one-dimensional nonlinear degenerate diffusion equations |
| title_full | Wave patterns in one-dimensional nonlinear degenerate diffusion equations |
| title_fullStr | Wave patterns in one-dimensional nonlinear degenerate diffusion equations |
| title_full_unstemmed | Wave patterns in one-dimensional nonlinear degenerate diffusion equations |
| title_short | Wave patterns in one-dimensional nonlinear degenerate diffusion equations |
| title_sort | wave patterns in one dimensional nonlinear degenerate diffusion equations |
| work_keys_str_mv | AT sanchezgardunof wavepatternsinonedimensionalnonlineardegeneratediffusionequations AT mainip wavepatternsinonedimensionalnonlineardegeneratediffusionequations |