Bounds of waiting-time in nonlinear diffusion
The solutions of the nonlinear diffusion equation ht = (h mhχ)χ may have a waiting-time, i.e., an initial finite time interval tω in which the front is at rest before starting to move. The theory gives us the value of t ω only in a few special cases, when it is determined by the local behaviour near...
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2004
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v17_n11_p1253_Perazzo http://hdl.handle.net/20.500.12110/paper_08939659_v17_n11_p1253_Perazzo |
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paper:paper_08939659_v17_n11_p1253_Perazzo2023-06-08T15:47:36Z Bounds of waiting-time in nonlinear diffusion Bounds Nonlinear diffusion Waiting-time Approximation theory Electromagnetic fields Finite element method Groundwater flow Set theory Superconducting materials Thermal conductivity Bounds Nonlinear diffusion Viscous gravity currents Waiting-time Nonlinear equations The solutions of the nonlinear diffusion equation ht = (h mhχ)χ may have a waiting-time, i.e., an initial finite time interval tω in which the front is at rest before starting to move. The theory gives us the value of t ω only in a few special cases, when it is determined by the local behaviour near the front of the initial profile g(χ). However, in many instances tω depends on the global behaviour of g(χ), and in these cases the theory provides only upper and lower bounds that frequently may not be very helpful to estimate the tω. Here we discuss some global attributes that influence tω. Then we employ the values of tω obtained numerically for initial profiles of the power law type to obtain, for general initial profiles, bounds more stringent than those given by the current theory. © 2004 Elsevier Ltd. All rights reserved. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v17_n11_p1253_Perazzo http://hdl.handle.net/20.500.12110/paper_08939659_v17_n11_p1253_Perazzo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Bounds Nonlinear diffusion Waiting-time Approximation theory Electromagnetic fields Finite element method Groundwater flow Set theory Superconducting materials Thermal conductivity Bounds Nonlinear diffusion Viscous gravity currents Waiting-time Nonlinear equations |
| spellingShingle |
Bounds Nonlinear diffusion Waiting-time Approximation theory Electromagnetic fields Finite element method Groundwater flow Set theory Superconducting materials Thermal conductivity Bounds Nonlinear diffusion Viscous gravity currents Waiting-time Nonlinear equations Bounds of waiting-time in nonlinear diffusion |
| topic_facet |
Bounds Nonlinear diffusion Waiting-time Approximation theory Electromagnetic fields Finite element method Groundwater flow Set theory Superconducting materials Thermal conductivity Bounds Nonlinear diffusion Viscous gravity currents Waiting-time Nonlinear equations |
| description |
The solutions of the nonlinear diffusion equation ht = (h mhχ)χ may have a waiting-time, i.e., an initial finite time interval tω in which the front is at rest before starting to move. The theory gives us the value of t ω only in a few special cases, when it is determined by the local behaviour near the front of the initial profile g(χ). However, in many instances tω depends on the global behaviour of g(χ), and in these cases the theory provides only upper and lower bounds that frequently may not be very helpful to estimate the tω. Here we discuss some global attributes that influence tω. Then we employ the values of tω obtained numerically for initial profiles of the power law type to obtain, for general initial profiles, bounds more stringent than those given by the current theory. © 2004 Elsevier Ltd. All rights reserved. |
| title |
Bounds of waiting-time in nonlinear diffusion |
| title_short |
Bounds of waiting-time in nonlinear diffusion |
| title_full |
Bounds of waiting-time in nonlinear diffusion |
| title_fullStr |
Bounds of waiting-time in nonlinear diffusion |
| title_full_unstemmed |
Bounds of waiting-time in nonlinear diffusion |
| title_sort |
bounds of waiting-time in nonlinear diffusion |
| publishDate |
2004 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v17_n11_p1253_Perazzo http://hdl.handle.net/20.500.12110/paper_08939659_v17_n11_p1253_Perazzo |
| _version_ |
1768543757756530688 |