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On the existence of fixed-sign solutions for a system of generalized right focal problems with deviating arguments
Accounting for the effect of internal viscosity in dumbbell models for polymeric fluids and relaxation of DNA
1. | Department of Engineering Mechanics, Shenyang Institute of Aeronautical Engineering, Shenyan 110136, China |
2. | Mathematical Modelling & Computational Sciences, Wilfrid Laurier University, Waterloo, Ontario N2L 2C5, Canada |
[1] |
Vincent Giovangigli, Wen-An Yong. Volume viscosity and internal energy relaxation: Symmetrization and Chapman-Enskog expansion. Kinetic and Related Models, 2015, 8 (1) : 79-116. doi: 10.3934/krm.2015.8.79 |
[2] |
Vincent Giovangigli, Wen-An Yong. Erratum: ``Volume viscosity and internal energy relaxation: Symmetrization and Chapman-Enskog expansion''. Kinetic and Related Models, 2016, 9 (4) : 813-813. doi: 10.3934/krm.2016018 |
[3] |
Nirav Dalal, David Greenhalgh, Xuerong Mao. Mathematical modelling of internal HIV dynamics. Discrete and Continuous Dynamical Systems - B, 2009, 12 (2) : 305-321. doi: 10.3934/dcdsb.2009.12.305 |
[4] |
Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane. Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity. Mathematical Biosciences & Engineering, 2008, 5 (1) : 205-216. doi: 10.3934/mbe.2008.5.205 |
[5] |
Youcef Amirat, Kamel Hamdache. Strong solutions to the equations of flow and heat transfer in magnetic fluids with internal rotations. Discrete and Continuous Dynamical Systems, 2013, 33 (8) : 3289-3320. doi: 10.3934/dcds.2013.33.3289 |
[6] |
M. Bulíček, P. Kaplický. Incompressible fluids with shear rate and pressure dependent viscosity: Regularity of steady planar flows. Discrete and Continuous Dynamical Systems - S, 2008, 1 (1) : 41-50. doi: 10.3934/dcdss.2008.1.41 |
[7] |
Nabil Bennenni, Kenza Guenda, Sihem Mesnager. DNA cyclic codes over rings. Advances in Mathematics of Communications, 2017, 11 (1) : 83-98. doi: 10.3934/amc.2017004 |
[8] |
Bashar Ibrahim. Mathematical analysis and modeling of DNA segregation mechanisms. Mathematical Biosciences & Engineering, 2018, 15 (2) : 429-440. doi: 10.3934/mbe.2018019 |
[9] |
Marina Dolfin, Mirosław Lachowicz. Modeling DNA thermal denaturation at the mesoscopic level. Discrete and Continuous Dynamical Systems - B, 2014, 19 (8) : 2469-2482. doi: 10.3934/dcdsb.2014.19.2469 |
[10] |
Raghda A. M. Attia, Dumitru Baleanu, Dianchen Lu, Mostafa M. A. Khater, El-Sayed Ahmed. Computational and numerical simulations for the deoxyribonucleic acid (DNA) model. Discrete and Continuous Dynamical Systems - S, 2021, 14 (10) : 3459-3478. doi: 10.3934/dcdss.2021018 |
[11] |
Yunkyong Hyon, José A. Carrillo, Qiang Du, Chun Liu. A maximum entropy principle based closure method for macro-micro models of polymeric materials. Kinetic and Related Models, 2008, 1 (2) : 171-184. doi: 10.3934/krm.2008.1.171 |
[12] |
Constantine M. Dafermos. Hyperbolic balance laws with relaxation. Discrete and Continuous Dynamical Systems, 2016, 36 (8) : 4271-4285. doi: 10.3934/dcds.2016.36.4271 |
[13] |
Paolo Secchi. An alpha model for compressible fluids. Discrete and Continuous Dynamical Systems - S, 2010, 3 (2) : 351-359. doi: 10.3934/dcdss.2010.3.351 |
[14] |
Peter Constantin. Transport in rotating fluids. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 165-176. doi: 10.3934/dcds.2004.10.165 |
[15] |
Y. Charles Li. Chaos phenotypes discovered in fluids. Discrete and Continuous Dynamical Systems, 2010, 26 (4) : 1383-1398. doi: 10.3934/dcds.2010.26.1383 |
[16] |
D. Bresch, B. Desjardins, D. Gérard-Varet. Rotating fluids in a cylinder. Discrete and Continuous Dynamical Systems, 2004, 11 (1) : 47-82. doi: 10.3934/dcds.2004.11.47 |
[17] |
Robert Cardona. The topology of Bott integrable fluids. Discrete and Continuous Dynamical Systems, 2022 doi: 10.3934/dcds.2022054 |
[18] |
Krzysztof A. Cyran, Marek Kimmel. Interactions of Neanderthals and Modern Humans: What Can Be Inferred from Mitochondrial DNA?. Mathematical Biosciences & Engineering, 2005, 2 (3) : 487-498. doi: 10.3934/mbe.2005.2.487 |
[19] |
Azucena Álvarez, Francisco R. Romero, José M. Romero, Juan F. R. Archilla. Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model. Discrete and Continuous Dynamical Systems - S, 2011, 4 (5) : 995-1006. doi: 10.3934/dcdss.2011.4.995 |
[20] |
J. Nieto, M. O. Vásquez. Wellposedness of a DNA replication model based on a nucleation-growth process. Communications on Pure and Applied Analysis, 2022, 21 (8) : 2643-2660. doi: 10.3934/cpaa.2022065 |
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