Discontinuity, Nonlinearity, and Complexity 13(4) (2024) 653--662 | DOI:10.5890/DNC.2024.12.006

Achraf Azanzal, Chakir Allalou, Said Melliani

Laboratory LMACS, FST, Sultan Moulay Slimane University, Beni Mellal, 23000, Morocco

Abstract

In this paper we study the Cauchy problem of the Debye-Hückel system with initial data in variable Fourier-Besov spaces. By using littlewood-Paley decomposition, we obtain the global well-posedness result for small initial data belong to critical variable exponent Fourier-Besov spaces. Moreover, we get the analyticity of global solutions.

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