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Transport density in MongeKantorovich problems with Dirichlet conditions
Minimal sets and chain recurrent sets of projective flows induced from minimal flows on $3$manifolds
1.  Faculty of Integrated Arts and Sciences, Hiroshima University, 171 Kagamiyama, HigashiHiroshima 7398521, Japan 
2.  Graduate School of Mathematical Sciences, University of Tokyo, 381 Komaba, Meguro, Tokyo 1538914, Japan 
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Kristian Bjerklöv, Russell Johnson. Minimal subsets of projective flows. Discrete and Continuous Dynamical Systems  B, 2008, 9 (3&4, May) : 493516. doi: 10.3934/dcdsb.2008.9.493 
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Jiří Minarčík, Michal Beneš. Minimal surface generating flow for space curves of nonvanishing torsion. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022011 
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Tiago Carvalho, Luiz Fernando Gonçalves. A flow on $ S^2 $ presenting the ball as its minimal set. Discrete and Continuous Dynamical Systems  B, 2021, 26 (8) : 42634280. doi: 10.3934/dcdsb.2020287 
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Daniele Bartoli, Lins Denaux. Minimal codewords arising from the incidence of points and hyperplanes in projective spaces. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2021061 
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Radu C. Cascaval, Ciro D'Apice, Maria Pia D'Arienzo, Rosanna Manzo. Flow optimization in vascular networks. Mathematical Biosciences & Engineering, 2017, 14 (3) : 607624. doi: 10.3934/mbe.2017035 
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Edoardo Mainini. On the signed porous medium flow. Networks and Heterogeneous Media, 2012, 7 (3) : 525541. doi: 10.3934/nhm.2012.7.525 
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Mapundi K. Banda, Michael Herty, Axel Klar. Gas flow in pipeline networks. Networks and Heterogeneous Media, 2006, 1 (1) : 4156. doi: 10.3934/nhm.2006.1.41 
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Magnus Aspenberg, Fredrik Ekström, Tomas Persson, Jörg Schmeling. On the asymptotics of the scenery flow. Discrete and Continuous Dynamical Systems, 2015, 35 (7) : 27972815. doi: 10.3934/dcds.2015.35.2797 
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TaiPing Liu, Zhouping Xin, Tong Yang. Vacuum states for compressible flow. Discrete and Continuous Dynamical Systems, 1998, 4 (1) : 132. doi: 10.3934/dcds.1998.4.1 
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Tracy L. Payne. The Ricci flow for nilmanifolds. Journal of Modern Dynamics, 2010, 4 (1) : 6590. doi: 10.3934/jmd.2010.4.65 
[11] 
Thomas H. Otway. Compressible flow on manifolds. Conference Publications, 2001, 2001 (Special) : 289294. doi: 10.3934/proc.2001.2001.289 
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Amina Mecherbet. Sedimentation of particles in Stokes flow. Kinetic and Related Models, 2019, 12 (5) : 9951044. doi: 10.3934/krm.2019038 
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Sergey A. Suslov. Twoequation model of mean flow resonances in subcritical flow systems. Discrete and Continuous Dynamical Systems  S, 2008, 1 (1) : 165176. doi: 10.3934/dcdss.2008.1.165 
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GuiQiang Chen, Bo Su. A viscous approximation for a multidimensional unsteady Euler flow: Existence theorem for potential flow. Discrete and Continuous Dynamical Systems, 2003, 9 (6) : 15871606. doi: 10.3934/dcds.2003.9.1587 
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Jian Zhai, Jianping Fang, Lanjun Li. Wave map with potential and hypersurface flow. Conference Publications, 2005, 2005 (Special) : 940946. doi: 10.3934/proc.2005.2005.940 
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Franz W. Kamber and Peter W. Michor. The flow completion of a manifold with vector field. Electronic Research Announcements, 2000, 6: 9597. 
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Joey Y. Huang. Trajectory of a moving curveball in viscid flow. Conference Publications, 2001, 2001 (Special) : 191198. doi: 10.3934/proc.2001.2001.191 
[18] 
Michael Renardy. Backward uniqueness for linearized compressible flow. Evolution Equations and Control Theory, 2015, 4 (1) : 107113. doi: 10.3934/eect.2015.4.107 
[19] 
R.E. Showalter, Ning Su. Partially saturated flow in a poroelastic medium. Discrete and Continuous Dynamical Systems  B, 2001, 1 (4) : 403420. doi: 10.3934/dcdsb.2001.1.403 
[20] 
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