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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 10
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Articles

Inverse source problem for linearized Navier–Stokes equations with data in arbitrary sub-domain

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Pages 2127-2143 | Received 17 Feb 2012, Accepted 01 Aug 2012, Published online: 09 Oct 2012

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Oleg Y. Imanuvilov & M. Yamamoto. (2023) Global Lipschitz stability for an inverse source problem for the Navier–Stokes equations. Applicable Analysis 102:8, pages 2200-2210.
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Xinchi Huang. (2021) Inverse coefficient problem for a magnetohydrodynamics system by Carleman estimates. Applicable Analysis 100:5, pages 1010-1038.
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Pardeep Kumar & Manil T. Mohan. (2024) An inverse source problem for convective Brinkman-Forchheimer equations with the final overdetermination. Inverse Problems and Imaging 0:0, pages 0-0.
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Aníbal Coronel, Alex Tello, Fernando Huancas & Marko Rojas-Medar. (2023) Application of Tikhonov fixed point theorem to analyze an inverse problem for a bioconvective flow model. Journal of Fixed Point Theory and Applications 25:3.
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Michel Cristofol, Shumin Li & Yunxia Shang. (2023) Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems. Mathematical Methods in the Applied Sciences 46:12, pages 13304-13319.
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Muvasharkhan T. Jenaliyev, Maktagali A. Bektemesov & Madi G. Yergaliyev. (2023) On an inverse problem for a linearized system of Navier–Stokes equations with a final overdetermination condition. Journal of Inverse and Ill-posed Problems 0:0.
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Song-Ren Fu & Peng-Fei Yao. (2023) Stability in inverse problem of an elastic plate with a curved middle surface. Inverse Problems 39:4, pages 045003.
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Xinchi Huang & Masahiro Yamamoto. (2023) Carleman estimates for a magnetohydrodynamics system and application to inverse source problems. Mathematical Control and Related Fields 13:2, pages 470-499.
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Pardeep Kumar & Manil T. Mohan. (2022) Existence, uniqueness and stability of an inverse problem for two-dimensional convective Brinkman–Forchheimer equations with the integral overdetermination. Banach Journal of Mathematical Analysis 16:4.
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Oleg Y Imanuvilov, Luca Lorenzi & Masahiro Yamamoto. (2022) Carleman estimate for the Navier–Stokes equations and applications. Inverse Problems 38:8, pages 085006.
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Jorge Aguayo & Axel Osses. (2022) A stability result for the identification of a permeability parameter on Navier–Stokes equations. Inverse Problems 38:7, pages 075001.
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Pardeep Kumar & Manil T. Mohan. (2022) Well-posedness of an inverse problem for two- and three-dimensional convective Brinkman-Forchheimer equations with the final overdetermination. Inverse Problems and Imaging 16:5, pages 1255.
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Mourad Bellassoued & Chaima Moufid. (2021) Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation. Discrete & Continuous Dynamical Systems - S 14:8, pages 2671.
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Yu Jiang, Jishan Fan, Sei Nagayasu & Gen Nakamura. (2020) Local solvability of an inverse problem to the Navier–Stokes equation with memory term. Inverse Problems 36:6, pages 065007.
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Oleg Yu. Imanuvilov & Masahiro Yamamoto. 2020. Inverse Problems and Related Topics. Inverse Problems and Related Topics 101 148 .
Nuno F. M. Martins. 2020. Advances in Trefftz Methods and Their Applications. Advances in Trefftz Methods and Their Applications 103 120 .
Cristhian Montoya. (2019) Inverse source problems for the Korteweg–de Vries–Burgers equation with mixed boundary conditions. Journal of Inverse and Ill-posed Problems 27:6, pages 777-794.
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Galina C García, Cristhian Montoya & Axel Osses. (2017) A source reconstruction algorithm for the Stokes system from incomplete velocity measurements. Inverse Problems 33:10, pages 105003.
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Mourad Bellassoued, Oleg Imanuvilov & Masahiro Yamamoto. (2016) Carleman estimate for the Navier–Stokes equations and an application to a lateral Cauchy problem. Inverse Problems 32:2, pages 025001.
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Undasin U Abylkairov & Serik E Aitzhanov. (2015) Inverse problem for non-stationary system of magnetohydrodynamics. Boundary Value Problems 2015:1.
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Nuno F M Martins. (2015) Identification results for inverse source problems in unsteady Stokes flows. Inverse Problems 31:1, pages 015004.
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Mourad Bellassoued & Masahiro Yamamoto. (2013) Carleman estimate and inverse source problem for Biot’s equations describing wave propagation in porous media. Inverse Problems 29:11, pages 115002.
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