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Analysis of upscaling absolute permeability
1.  Applied & Computational Mathematics, California Institute of Technology, Pasadena, CA 91125, United States 
2.  Department of Mathematics, Texas A&M University, College Station, TX 778433368, United States 
3.  Department of Applied and Computational Mathematics, California Institute of Technology, Pasadena, CA 91125, United States 
[1] 
Kundan Kumar, Tycho van Noorden, Iuliu Sorin Pop. Upscaling of reactive flows in domains with moving oscillating boundaries. Discrete & Continuous Dynamical Systems  S, 2014, 7 (1) : 95111. doi: 10.3934/dcdss.2014.7.95 
[2] 
Zhiming Chen, Weibing Deng, Huang Ye. A new upscaling method for the solute transport equations. Discrete & Continuous Dynamical Systems  A, 2005, 13 (4) : 941960. doi: 10.3934/dcds.2005.13.941 
[3] 
Alexandre J. Chorin, Fei Lu, Robert N. Miller, Matthias Morzfeld, Xuemin Tu. Sampling, feasibility, and priors in data assimilation. Discrete & Continuous Dynamical Systems  A, 2016, 36 (8) : 42274246. doi: 10.3934/dcds.2016.36.4227 
[4] 
Peter Monk, Virginia Selgas. Sampling type methods for an inverse waveguide problem. Inverse Problems & Imaging, 2012, 6 (4) : 709747. doi: 10.3934/ipi.2012.6.709 
[5] 
Martin Hanke. Why linear sampling really seems to work. Inverse Problems & Imaging, 2008, 2 (3) : 373395. doi: 10.3934/ipi.2008.2.373 
[6] 
T. Hillen, K. Painter, Christian Schmeiser. Global existence for chemotaxis with finite sampling radius. Discrete & Continuous Dynamical Systems  B, 2007, 7 (1) : 125144. doi: 10.3934/dcdsb.2007.7.125 
[7] 
Jijiang Sun, ChunLei Tang. Resonance problems for Kirchhoff type equations. Discrete & Continuous Dynamical Systems  A, 2013, 33 (5) : 21392154. doi: 10.3934/dcds.2013.33.2139 
[8] 
Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu. Nonlinear Dirichlet problems with double resonance. Communications on Pure & Applied Analysis, 2017, 16 (4) : 11471168. doi: 10.3934/cpaa.2017056 
[9] 
Leszek Gasiński, Nikolaos S. Papageorgiou. Dirichlet $(p,q)$equations at resonance. Discrete & Continuous Dynamical Systems  A, 2014, 34 (5) : 20372060. doi: 10.3934/dcds.2014.34.2037 
[10] 
D. Bonheure, C. Fabry. A variational approach to resonance for asymmetric oscillators. Communications on Pure & Applied Analysis, 2007, 6 (1) : 163181. doi: 10.3934/cpaa.2007.6.163 
[11] 
Philip Korman. Curves of equiharmonic solutions, and problems at resonance. Discrete & Continuous Dynamical Systems  A, 2014, 34 (7) : 28472860. doi: 10.3934/dcds.2014.34.2847 
[12] 
Jiying Liu, Jubo Zhu, Fengxia Yan, Zenghui Zhang. Compressive sampling and $l_1$ minimization for SAR imaging with low sampling rate. Inverse Problems & Imaging, 2013, 7 (4) : 12951305. doi: 10.3934/ipi.2013.7.1295 
[13] 
Shixin Xu, Xingye Yue, Changrong Zhang. Homogenization: In mathematics or physics?. Discrete & Continuous Dynamical Systems  S, 2016, 9 (5) : 15751590. doi: 10.3934/dcdss.2016064 
[14] 
Fanghua Lin, Xiaodong Yan. A type of homogenization problem. Discrete & Continuous Dynamical Systems  A, 2003, 9 (1) : 130. doi: 10.3934/dcds.2003.9.1 
[15] 
Grégoire Allaire, Harsha Hutridurga. On the homogenization of multicomponent transport. Discrete & Continuous Dynamical Systems  B, 2015, 20 (8) : 25272551. doi: 10.3934/dcdsb.2015.20.2527 
[16] 
Dag Lukkassen, Annette Meidell, Peter Wall. Multiscale homogenization of monotone operators. Discrete & Continuous Dynamical Systems  A, 2008, 22 (3) : 711727. doi: 10.3934/dcds.2008.22.711 
[17] 
Vsevolod Laptev. Deterministic homogenization for media with barriers. Discrete & Continuous Dynamical Systems  S, 2015, 8 (1) : 2944. doi: 10.3934/dcdss.2015.8.29 
[18] 
Alain Damlamian, Klas Pettersson. Homogenization of oscillating boundaries. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 197219. doi: 10.3934/dcds.2009.23.197 
[19] 
Hervé Le Dret, Annie Raoult. Homogenization of hexagonal lattices. Networks & Heterogeneous Media, 2013, 8 (2) : 541572. doi: 10.3934/nhm.2013.8.541 
[20] 
Y. Efendiev, B. Popov. On homogenization of nonlinear hyperbolic equations. Communications on Pure & Applied Analysis, 2005, 4 (2) : 295309. doi: 10.3934/cpaa.2005.4.295 
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