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| LEADER |
01476nam a2200241Ia 4500 |
| 001 |
10.3390-e24070915 |
| 008 |
220718s2022 CNT 000 0 und d |
| 020 |
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|a 10994300 (ISSN)
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| 245 |
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|a Heterogeneous Diffusion and Nonlinear Advection in a One-Dimensional Fisher-KPP Problem
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| 260 |
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|b MDPI
|c 2022
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| 856 |
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|z View Fulltext in Publisher
|u https://doi.org/10.3390/e24070915
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|a The goal of this study is to provide an analysis of a Fisher-KPP non-linear reaction problem with a higher-order diffusion and a non-linear advection. We study the existence and uniqueness of solutions together with asymptotic solutions and positivity conditions. We show the existence of instabilities based on a shooting method approach. Afterwards, we study the existence and uniqueness of solutions as an abstract evolution of a bounded continuous single parametric (t) semigroup. Asymptotic solutions based on a Hamilton–Jacobi equation are then analyzed. Finally, the conditions required to ensure a comparison principle are explored supported by the existence of a positive maximal kernel. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
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|a asymptotic
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|a existence
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|a Fisher-KPP problem
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|a higher-order diffusion
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|a instabilities
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|a positivity
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| 650 |
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|a uniqueness
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| 700 |
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|a Palencia, J.L.D.
|e author
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|a Redondo, A.N.
|e author
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|a Ur Rahman, S.
|e author
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| 773 |
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|t Entropy
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