caa a22 4500 605515328 CHVBK 20210128100708.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s00205-014-0794-1 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0794-1 Inverse Boundary Value Problem for the Stokes and the Navier-Stokes Equations in the Plane [Elektronische Daten] [Ru-Yu Lai, Gunther Uhlmann, Jenn-Nan Wang] In this paper, we prove in two dimensions the global identifiability of the viscosity in an incompressible fluid by making boundary measurements. The main contribution of this work is to use more natural boundary measurements, the Cauchy forces, than the Dirichlet-to-Neumann map previously considered in Imanuvilov and Yamamoto (Global uniqueness in inverse boundary value problems for Navier-Stokes equations and Lamé ststem in two dimensions. arXiv:1309.1694 , 2013) to prove the uniqueness of the viscosity for the Stokes equations and for the Navier-Stokes equations. Springer-Verlag Berlin Heidelberg, 2014 Lai Ru-Yu Department of Mathematics, University of Washington, 98195-4350, Seattle, WA, USA aut Uhlmann Gunther Department of Mathematics, University of Washington, 98195-4350, Seattle, WA, USA aut Wang Jenn-Nan Institute of Applied Mathematical Sciences, NCTS (Tapei), National Taiwan University, 106, Taipei, Taiwan aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/3(2015-03-01), 811-829 0003-9527 215:3<811 2015 215 205 https://doi.org/10.1007/s00205-014-0794-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0794-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lai Ru-Yu Department of Mathematics, University of Washington, 98195-4350, Seattle, WA, USA aut NATIONALLICENCE 700 1- Uhlmann Gunther Department of Mathematics, University of Washington, 98195-4350, Seattle, WA, USA aut NATIONALLICENCE 700 1- Wang Jenn-Nan Institute of Applied Mathematical Sciences, NCTS (Tapei), National Taiwan University, 106, Taipei, Taiwan aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 215/3(2015-03-01), 811-829 0003-9527 215:3<811 2015 215 205