Inverse Boundary Value Problem for the Stokes and the Navier-Stokes Equations in the Plane
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0794-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0794-1 | ||
| 245 | 0 | 0 | |a Inverse Boundary Value Problem for the Stokes and the Navier-Stokes Equations in the Plane |h [Elektronische Daten] |c [Ru-Yu Lai, Gunther Uhlmann, Jenn-Nan Wang] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Lai |D Ru-Yu |u Department of Mathematics, University of Washington, 98195-4350, Seattle, WA, USA |4 aut | |
| 700 | 1 | |a Uhlmann |D Gunther |u Department of Mathematics, University of Washington, 98195-4350, Seattle, WA, USA |4 aut | |
| 700 | 1 | |a Wang |D Jenn-Nan |u Institute of Applied Mathematical Sciences, NCTS (Tapei), National Taiwan University, 106, Taipei, Taiwan |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/3(2015-03-01), 811-829 |x 0003-9527 |q 215:3<811 |1 2015 |2 215 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0794-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0794-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lai |D Ru-Yu |u Department of Mathematics, University of Washington, 98195-4350, Seattle, WA, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Uhlmann |D Gunther |u Department of Mathematics, University of Washington, 98195-4350, Seattle, WA, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wang |D Jenn-Nan |u Institute of Applied Mathematical Sciences, NCTS (Tapei), National Taiwan University, 106, Taipei, Taiwan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/3(2015-03-01), 811-829 |x 0003-9527 |q 215:3<811 |1 2015 |2 215 |o 205 | ||