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Asymptotic analysis of an array of closely spaced absolutely conductive inclusions
1. | Department of Mathematics and Materials Research Institute, Penn State University, University Park, PA 16802, United States |
2. | Department of Engineering–University of Sannio, Benevento, Italy |
3. | Department of Mathematics, Pennsylvania State University, University Park, PA 16802, United States |
4. | LaMUSE–University Jean Monnet, Saint Etienne, France |
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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 |
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Yanqiong Lu, Ruyun Ma. Disconjugacy conditions and spectrum structure of clamped beam equations with two parameters. Communications on Pure and Applied Analysis, 2020, 19 (6) : 3283-3302. doi: 10.3934/cpaa.2020145 |
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Grégoire Allaire, Alessandro Ferriero. Homogenization and long time asymptotic of a fluid-structure interaction problem. Discrete and Continuous Dynamical Systems - B, 2008, 9 (2) : 199-220. doi: 10.3934/dcdsb.2008.9.199 |
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Masahiro Suzuki. Asymptotic stability of a boundary layer to the Euler--Poisson equations for a multicomponent plasma. Kinetic and Related Models, 2016, 9 (3) : 587-603. doi: 10.3934/krm.2016008 |
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Kateryna Marynets. Stability analysis of the boundary value problem modelling a two-layer ocean. Communications on Pure and Applied Analysis, 2022, 21 (7) : 2433-2445. doi: 10.3934/cpaa.2022083 |
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Kurusch Ebrahimi-Fard, Dominique Manchon. The tridendriform structure of a discrete Magnus expansion. Discrete and Continuous Dynamical Systems, 2014, 34 (3) : 1021-1040. doi: 10.3934/dcds.2014.34.1021 |
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Weixia Zhao. The expansion of gas from a wedge with small angle into a vacuum. Communications on Pure and Applied Analysis, 2013, 12 (5) : 2319-2330. doi: 10.3934/cpaa.2013.12.2319 |
[9] |
Fujun Zhou, Junde Wu, Shangbin Cui. Existence and asymptotic behavior of solutions to a moving boundary problem modeling the growth of multi-layer tumors. Communications on Pure and Applied Analysis, 2009, 8 (5) : 1669-1688. doi: 10.3934/cpaa.2009.8.1669 |
[10] |
Renjun Duan, Xiongfeng Yang. Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations. Communications on Pure and Applied Analysis, 2013, 12 (2) : 985-1014. doi: 10.3934/cpaa.2013.12.985 |
[11] |
Yaguang Wang, Shiyong Zhu. Blowup of solutions to the thermal boundary layer problem in two-dimensional incompressible heat conducting flow. Communications on Pure and Applied Analysis, 2020, 19 (6) : 3233-3244. doi: 10.3934/cpaa.2020141 |
[12] |
Tetsutaro Shibata. Boundary layer and variational eigencurve in two-parameter single pendulum type equations. Communications on Pure and Applied Analysis, 2006, 5 (1) : 147-154. doi: 10.3934/cpaa.2006.5.147 |
[13] |
Long Fan, Cheng-Jie Liu, Lizhi Ruan. Local well-posedness of solutions to the boundary layer equations for compressible two-fluid flow. Electronic Research Archive, 2021, 29 (6) : 4009-4050. doi: 10.3934/era.2021070 |
[14] |
Wei-Xi Li, Rui Xu. Well-posedness in Sobolev spaces of the two-dimensional MHD boundary layer equations without viscosity. Electronic Research Archive, 2021, 29 (6) : 4243-4255. doi: 10.3934/era.2021082 |
[15] |
Erik Kropat, Silja Meyer-Nieberg, Gerhard-Wilhelm Weber. Bridging the gap between variational homogenization results and two-scale asymptotic averaging techniques on periodic network structures. Numerical Algebra, Control and Optimization, 2017, 7 (3) : 223-250. doi: 10.3934/naco.2017016 |
[16] |
Güher Çamliyurt, Igor Kukavica. A local asymptotic expansion for a solution of the Stokes system. Evolution Equations and Control Theory, 2016, 5 (4) : 647-659. doi: 10.3934/eect.2016023 |
[17] |
Thierry Paul, Mario Pulvirenti. Asymptotic expansion of the mean-field approximation. Discrete and Continuous Dynamical Systems, 2019, 39 (4) : 1891-1921. doi: 10.3934/dcds.2019080 |
[18] |
Hiroshi Matano, Ken-Ichi Nakamura, Bendong Lou. Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit. Networks and Heterogeneous Media, 2006, 1 (4) : 537-568. doi: 10.3934/nhm.2006.1.537 |
[19] |
Freddy Dumortier, Robert Roussarie. Canard cycles with two breaking parameters. Discrete and Continuous Dynamical Systems, 2007, 17 (4) : 787-806. doi: 10.3934/dcds.2007.17.787 |
[20] |
Cui-Ping Cheng, Wan-Tong Li, Zhi-Cheng Wang. Asymptotic stability of traveling wavefronts in a delayed population model with stage structure on a two-dimensional spatial lattice. Discrete and Continuous Dynamical Systems - B, 2010, 13 (3) : 559-575. doi: 10.3934/dcdsb.2010.13.559 |
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