arXiv Open Access 2022

On global solvability and regularity for generalized Rayleigh-Stokes equations with history-dependent nonlinearities

Ke Tran Dinh Thang Nguyen Nhu

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Abstrak

We are concerned with the initial value problem governed by generalized Rayleigh-Stokes equations, where the nonlinearity depends on history states and takes values in Hilbert scales of negative order. The solvability and Hölder regularity of solutions are proved by using fixed point arguments and embeddings of fractional Sobolev spaces. An application to a related inverse source problem is given.

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math.AP

Penulis (2)

Ke Tran Dinh

Thang Nguyen Nhu

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APA MLA BibTeX

Dinh, K.T., Nhu, T.N. (2022). On global solvability and regularity for generalized Rayleigh-Stokes equations with history-dependent nonlinearities. https://arxiv.org/abs/2206.04413

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓