$${\mathbb {L}}^p$$-solutions of deterministic and stochastic convective Brinkman–Forchheimer equations

نویسندگان

چکیده

In the first part of this work, we establish existence and uniqueness a local mild solution to deterministic convective Brinkman–Forchheimer (CBF) equations defined on whole space, by using properties heat semigroup fixed point arguments based an iterative technique. Moreover, prove that exists globally. The second is devoted for establishing pathwise upto random time stochastic CBF perturbed Lévy noise exploiting contraction mapping principle. Then stopping arguments, show We also discuss global solvability forced fractional Brownian noise.

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ژورنال

عنوان ژورنال: Analysis and Mathematical Physics

سال: 2021

ISSN: ['1664-2368', '1664-235X']

DOI: https://doi.org/10.1007/s13324-021-00595-0