A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids

DOI10.1088/1361-6420/ac1050zbMath1480.35329arXiv2103.14448OpenAlexW3176925433MaRDI QIDQ5006367

Kush Kinra, Manil T. Mohan, Pardeep Kumar

Publication date: 13 August 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14448

zbMATH Keywords

contraction mapping principleinverse problemmemory kernelintegral overdetermination conditionKelvin-Voigt fluids equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Inverse problems for PDEs (35R30) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Existence, uniqueness and stability of an inverse problem for two-dimensional convective Brinkman-Forchheimer equations with the integral overdetermination ⋮ Well-posedness of an inverse problem for two- and three-dimensional convective Brinkman-Forchheimer equations with the final overdetermination ⋮ Inverse problems for a Boussinesq system for incompressible viscoelastic fluids ⋮ The quasi-two-dimensional coefficient inverse problem for the wave equation in a weakly horizontally inhomogeneous medium with memory

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