On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on \(\mathbb{R}^N\)

DOI10.1515/anona-2021-0211zbMath1503.35163OpenAlexW3215015942MaRDI QIDQ2063263

Yanyan Li

Publication date: 11 January 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2021-0211

zbMATH Keywords

integrabilitywell-posednessfractional derivativeRayleigh-Stokes problem

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (14)

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