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An inverse boundary value problem for the incompressible inhomogeneous Navier–Stokes equations

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Abstract

The present paper is devoted to the inverse boundary value problem for the stationary incompressible inhomogeneous Navier–Stokes equations in a bounded domain with smooth boundary. More precisely, we show that the viscosity can be uniquely determined by the knowledge of the boundary measurements.

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Acknowledgements

The authors thank the referees very much for valuable suggestions. This work was supported by NNSF of China (11671033/A010802) and the National Natural Science Foundation of China under Grant No. 11801443.

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  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Pan Liu & Genqian Liu

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  1. Pan Liu
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  2. Genqian Liu
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Correspondence to Pan Liu.

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Communicated by Klaus Guerlebeck.

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Liu, P., Liu, G. An inverse boundary value problem for the incompressible inhomogeneous Navier–Stokes equations. Ann. Funct. Anal. 13, 45 (2022). https://doi.org/10.1007/s43034-022-00194-5

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  • DOI: https://doi.org/10.1007/s43034-022-00194-5

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