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http://hdl.handle.net/10553/46217
Title: | Sufficient and necessary initial mass conditions for the existence of a waiting time in nonlinear-convection processes | Authors: | Alvarez, L Diaz, J. I. |
UNESCO Clasification: | 1206 Análisis numérico 120601 Construcción de algoritmos 120602 Ecuaciones diferenciales |
Issue Date: | 1991 | Journal: | Journal of Mathematical Analysis and Applications | Abstract: | We study the initial behavior of the fronts (for interfaces) generated by the solutions of the equation ut = (um)xx + b(uλ)x, where m, b, λ > 0 are real numbers. We prove a mass comparison principle that allows us to give necessary and sufficient conditions in order to have waiting time at the fronts. Different regions in the (λ, m) parameter space must be introduced leading to answer of very different nature. | URI: | http://hdl.handle.net/10553/46217 | ISSN: | 0022-247X | DOI: | 10.1016/0022-247X(91)90008-N | Source: | Journal of Mathematical Analysis and Applications [ISSN 0022-247X], v. 155 (2), p. 378-392 |
Appears in Collections: | Artículos |
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