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Boundary layer on a high-conductivity domain
| 1. | Mathematiques Appliquees de Bordeaux, UMR 5466, Universite Bordeaux 1, 351 Cours de la Liberation, 33405 Talence cedex, France |
| [1] |
S. S. Krigman. Exact boundary controllability of Maxwell's equations with weak conductivity in the heterogeneous medium inside a general domain. Conference Publications, 2007, 2007 (Special) : 590-601. doi: 10.3934/proc.2007.2007.590 |
| [2] |
Felipe Ponce-Vanegas. Reconstruction of the derivative of the conductivity at the boundary. Inverse Problems and Imaging, 2020, 14 (4) : 701-718. doi: 10.3934/ipi.2020032 |
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Matthias Eller. Stability of the anisotropic Maxwell equations with a conductivity term. Evolution Equations and Control Theory, 2019, 8 (2) : 343-357. doi: 10.3934/eect.2019018 |
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Yves Capdeboscq, Shaun Chen Yang Ong. Quantitative jacobian determinant bounds for the conductivity equation in high contrast composite media. Discrete and Continuous Dynamical Systems - B, 2020, 25 (10) : 3857-3887. doi: 10.3934/dcdsb.2020228 |
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Pierre-Damien Thizy. Klein-Gordon-Maxwell equations in high dimensions. Communications on Pure and Applied Analysis, 2015, 14 (3) : 1097-1125. doi: 10.3934/cpaa.2015.14.1097 |
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Ville Kolehmainen, Matti Lassas, Petri Ola, Samuli Siltanen. Recovering boundary shape and conductivity in electrical impedance tomography. Inverse Problems and Imaging, 2013, 7 (1) : 217-242. doi: 10.3934/ipi.2013.7.217 |
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Gung-Min Gie, Chang-Yeol Jung, Roger Temam. Recent progresses in boundary layer theory. Discrete and Continuous Dynamical Systems, 2016, 36 (5) : 2521-2583. doi: 10.3934/dcds.2016.36.2521 |
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X. Liang, Roderick S. C. Wong. On a Nested Boundary-Layer Problem. Communications on Pure and Applied Analysis, 2009, 8 (1) : 419-433. doi: 10.3934/cpaa.2009.8.419 |
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Lizhi Ruan, Changjiang Zhu. Boundary layer for nonlinear evolution equations with damping and diffusion. Discrete and Continuous Dynamical Systems, 2012, 32 (1) : 331-352. doi: 10.3934/dcds.2012.32.331 |
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Liping Wang, Chunyi Zhao. Solutions with clustered bubbles and a boundary layer of an elliptic problem. Discrete and Continuous Dynamical Systems, 2014, 34 (5) : 2333-2357. doi: 10.3934/dcds.2014.34.2333 |
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Liping Wang, Juncheng Wei. Solutions with interior bubble and boundary layer for an elliptic problem. Discrete and Continuous Dynamical Systems, 2008, 21 (1) : 333-351. doi: 10.3934/dcds.2008.21.333 |
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Valentin Butuzov, Nikolay Nefedov, Oleh Omel'chenko, Lutz Recke. Boundary layer solutions to singularly perturbed quasilinear systems. Discrete and Continuous Dynamical Systems - B, 2021 doi: 10.3934/dcdsb.2021226 |
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Michel Cristofol, Shumin Li, Eric Soccorsi. Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary. Mathematical Control and Related Fields, 2016, 6 (3) : 407-427. doi: 10.3934/mcrf.2016009 |
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Gen Nakamura, Päivi Ronkanen, Samuli Siltanen, Kazumi Tanuma. Recovering conductivity at the boundary in three-dimensional electrical impedance tomography. Inverse Problems and Imaging, 2011, 5 (2) : 485-510. doi: 10.3934/ipi.2011.5.485 |
| [15] |
Micol Amar. A note on boundary layer effects in periodic homogenization with Dirichlet boundary conditions. Discrete and Continuous Dynamical Systems, 2000, 6 (3) : 537-556. doi: 10.3934/dcds.2000.6.537 |
| [16] |
M. Eller. On boundary regularity of solutions to Maxwell's equations with a homogeneous conservative boundary condition. Discrete and Continuous Dynamical Systems - S, 2009, 2 (3) : 473-481. doi: 10.3934/dcdss.2009.2.473 |
| [17] |
O. Guès, G. Métivier, M. Williams, K. Zumbrun. Boundary layer and long time stability for multi-D viscous shocks. Discrete and Continuous Dynamical Systems, 2004, 11 (1) : 131-160. doi: 10.3934/dcds.2004.11.131 |
| [18] |
Christos Sourdis. Analysis of an irregular boundary layer behavior for the steady state flow of a Boussinesq fluid. Discrete and Continuous Dynamical Systems, 2017, 37 (2) : 1039-1059. doi: 10.3934/dcds.2017043 |
| [19] |
Shu Wang, Chundi Liu. Boundary Layer Problem and Quasineutral Limit of Compressible Euler-Poisson System. Communications on Pure and Applied Analysis, 2017, 16 (6) : 2177-2199. doi: 10.3934/cpaa.2017108 |
| [20] |
Hongbo Guan, Yong Yang, Huiqing Zhu. A nonuniform anisotropic FEM for elliptic boundary layer optimal control problems. Discrete and Continuous Dynamical Systems - B, 2021, 26 (3) : 1711-1722. doi: 10.3934/dcdsb.2020179 |
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