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Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions
Twopoint closure based largeeddy simulations in turbulence. Part 2: Inhomogeneous cases
1.  Member of French Academy of Sciences, Laboratory for Geophysical and Industrial Flows, Grenoble, France 
[1] 
Marcel Lesieur. Twopoint closure based largeeddy simulations in turbulence, Part 1: Isotropic turbulence. Discrete & Continuous Dynamical Systems  S, 2011, 4 (1) : 155168. doi: 10.3934/dcdss.2011.4.155 
[2] 
WenChiao Cheng. Twopoint preimage entropy. Discrete & Continuous Dynamical Systems  A, 2007, 17 (1) : 107119. doi: 10.3934/dcds.2007.17.107 
[3] 
Feliz Minhós, A. I. Santos. Higher order twopoint boundary value problems with asymmetric growth. Discrete & Continuous Dynamical Systems  S, 2008, 1 (1) : 127137. doi: 10.3934/dcdss.2008.1.127 
[4] 
Wenming Zou. Multiple solutions results for twopoint boundary value problem with resonance. Discrete & Continuous Dynamical Systems  A, 1998, 4 (3) : 485496. doi: 10.3934/dcds.1998.4.485 
[5] 
Jerry L. Bona, Hongqiu Chen, ShuMing Sun, BingYu Zhang. Comparison of quarterplane and twopoint boundary value problems: The KdVequation. Discrete & Continuous Dynamical Systems  B, 2007, 7 (3) : 465495. doi: 10.3934/dcdsb.2007.7.465 
[6] 
XiaoYu Zhang, Qing Fang. A sixth order numerical method for a class of nonlinear twopoint boundary value problems. Numerical Algebra, Control & Optimization, 2012, 2 (1) : 3143. doi: 10.3934/naco.2012.2.31 
[7] 
ShaoYuan Huang, ShinHwa Wang. On Sshaped bifurcation curves for a twopoint boundary value problem arising in a theory of thermal explosion. Discrete & Continuous Dynamical Systems  A, 2015, 35 (10) : 48394858. doi: 10.3934/dcds.2015.35.4839 
[8] 
Jerry Bona, Hongqiu Chen, Shu Ming Sun, B.Y. Zhang. Comparison of quarterplane and twopoint boundary value problems: the BBMequation. Discrete & Continuous Dynamical Systems  A, 2005, 13 (4) : 921940. doi: 10.3934/dcds.2005.13.921 
[9] 
Hirotoshi Kuroda, Noriaki Yamazaki. Approximating problems of vectorial singular diffusion equations with inhomogeneous terms and numerical simulations. Conference Publications, 2009, 2009 (Special) : 486495. doi: 10.3934/proc.2009.2009.486 
[10] 
Carlos Escudero, Fabricio Macià, Raúl Toral, Juan J. L. Velázquez. Kinetic theory and numerical simulations of twospecies coagulation. Kinetic & Related Models, 2014, 7 (2) : 253290. doi: 10.3934/krm.2014.7.253 
[11] 
Florian Schneider, Andreas Roth, Jochen Kall. Firstorder quarterand mixedmoment realizability theory and Kershaw closures for a FokkerPlanck equation in two space dimensions. Kinetic & Related Models, 2017, 10 (4) : 11271161. doi: 10.3934/krm.2017044 
[12] 
Diego Samuel Rodrigues, Paulo Fernando de Arruda Mancera. Mathematical analysis and simulations involving chemotherapy and surgery on large human tumours under a suitable cellkill functional response. Mathematical Biosciences & Engineering, 2013, 10 (1) : 221234. doi: 10.3934/mbe.2013.10.221 
[13] 
M. Mahalingam, Parag Ravindran, U. Saravanan, K. R. Rajagopal. Two boundary value problems involving an inhomogeneous viscoelastic solid. Discrete & Continuous Dynamical Systems  S, 2017, 10 (6) : 13511373. doi: 10.3934/dcdss.2017072 
[14] 
K. Q. Lan, G. C. Yang. Optimal constants for two point boundary value problems. Conference Publications, 2007, 2007 (Special) : 624633. doi: 10.3934/proc.2007.2007.624 
[15] 
KaiUwe Schmidt, Jonathan Jedwab, Matthew G. Parker. Two binary sequence families with large merit factor. Advances in Mathematics of Communications, 2009, 3 (2) : 135156. doi: 10.3934/amc.2009.3.135 
[16] 
Eleftherios Gkioulekas, Ka Kit Tung. On the double cascades of energy and enstrophy in two dimensional turbulence. Part 1. Theoretical formulation. Discrete & Continuous Dynamical Systems  B, 2005, 5 (1) : 79102. doi: 10.3934/dcdsb.2005.5.79 
[17] 
François Baccelli, Augustin Chaintreau, Danny De Vleeschauwer, David R. McDonald. HTTP turbulence. Networks & Heterogeneous Media, 2006, 1 (1) : 140. doi: 10.3934/nhm.2006.1.1 
[18] 
Luca Bisconti, Davide Catania. Global wellposedness of the twodimensional horizontally filtered simplified Bardina turbulence model on a striplike region. Communications on Pure & Applied Analysis, 2017, 16 (5) : 18611881. doi: 10.3934/cpaa.2017090 
[19] 
Eleftherios Gkioulekas, Ka Kit Tung. On the double cascades of energy and enstrophy in two dimensional turbulence. Part 2. Approach to the KLB limit and interpretation of experimental evidence. Discrete & Continuous Dynamical Systems  B, 2005, 5 (1) : 103124. doi: 10.3934/dcdsb.2005.5.103 
[20] 
ChanGyun Kim, YongHoon Lee. A bifurcation result for two point boundary value problem with a strong singularity. Conference Publications, 2011, 2011 (Special) : 834843. doi: 10.3934/proc.2011.2011.834 
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