The evolution of traveling waves in a KPP reaction‐diffusion model with cut‐off reaction rate. I. Permanent form traveling waves | Zendy

Tisbury Alex D. O. | Zendy; Needham David J. | Zendy; Tzella Alexandra | Zendy

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The evolution of traveling waves in a KPP reaction‐diffusion model with cut‐off reaction rate. I. Permanent form traveling waves

Author(s) -

Tisbury Alex D. O.,

Needham David J.,

Tzella Alexandra

Publication year - 2021

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1111/sapm.12337

Subject(s) - traveling wave , limit (mathematics) , reaction–diffusion system , monotone polygon , asymptotic analysis , mathematics , mathematical analysis , diffusion , cut off , physics , geometry , thermodynamics , power (physics)

We consider Kolmogorov‐Petrovskii‐Piscounov (KPP) type models in the presence of a discontinuous cut‐off in reaction rate at concentration u = u c . In Part I, we examine permanent form traveling wave solutions (a companion paper, Part II, is devoted to their evolution in the large time limit). For each fixed cut‐off value 0

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