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On the one-dimensional version of the dynamical Marguerre-Vlasov system with thermal effects
1. | National Laboratory of Scientific Computation, LNCC/MCT, Av. Getulio Vargas 333, Quitandinha, Petrópolis, RJ, 25651-070, Brazil, Brazil |
[1] |
Blanca Ayuso, José A. Carrillo, Chi-Wang Shu. Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system. Kinetic and Related Models, 2011, 4 (4) : 955-989. doi: 10.3934/krm.2011.4.955 |
[2] |
Zhi-An Wang, Kun Zhao. Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model. Communications on Pure and Applied Analysis, 2013, 12 (6) : 3027-3046. doi: 10.3934/cpaa.2013.12.3027 |
[3] |
Rogério Martins. One-dimensional attractor for a dissipative system with a cylindrical phase space. Discrete and Continuous Dynamical Systems, 2006, 14 (3) : 533-547. doi: 10.3934/dcds.2006.14.533 |
[4] |
Baowei Feng. On the decay rates for a one-dimensional porous elasticity system with past history. Communications on Pure and Applied Analysis, 2019, 18 (6) : 2905-2921. doi: 10.3934/cpaa.2019130 |
[5] |
Mikhail I. Belishev, Sergey A. Simonov. A canonical model of the one-dimensional dynamical Dirac system with boundary control. Evolution Equations and Control Theory, 2022, 11 (1) : 283-300. doi: 10.3934/eect.2021003 |
[6] |
Robert Glassey, Stephen Pankavich, Jack Schaeffer. Separated characteristics and global solvability for the one and one-half dimensional Vlasov Maxwell system. Kinetic and Related Models, 2016, 9 (3) : 455-467. doi: 10.3934/krm.2016003 |
[7] |
Stephen Pankavich, Nicholas Michalowski. Global classical solutions for the "One and one-half'' dimensional relativistic Vlasov-Maxwell-Fokker-Planck system. Kinetic and Related Models, 2015, 8 (1) : 169-199. doi: 10.3934/krm.2015.8.169 |
[8] |
Mihai Bostan, Thierry Goudon. Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system; the one and one half dimensional case. Kinetic and Related Models, 2008, 1 (1) : 139-170. doi: 10.3934/krm.2008.1.139 |
[9] |
Toyohiko Aiki, Martijn Anthonissen, Adrian Muntean. On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit. Discrete and Continuous Dynamical Systems - S, 2012, 5 (1) : 15-28. doi: 10.3934/dcdss.2012.5.15 |
[10] |
Li Fang, Zhenhua Guo. Zero dissipation limit to rarefaction wave with vacuum for a one-dimensional compressible non-Newtonian fluid. Communications on Pure and Applied Analysis, 2017, 16 (1) : 209-242. doi: 10.3934/cpaa.2017010 |
[11] |
Umberto Biccari. Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential. Mathematical Control and Related Fields, 2019, 9 (1) : 191-219. doi: 10.3934/mcrf.2019011 |
[12] |
K. D. Chu, D. D. Hai. Positive solutions for the one-dimensional singular superlinear $ p $-Laplacian problem. Communications on Pure and Applied Analysis, 2020, 19 (1) : 241-252. doi: 10.3934/cpaa.2020013 |
[13] |
Inbo Sim. On the existence of nodal solutions for singular one-dimensional $\varphi$-Laplacian problem with asymptotic condition. Communications on Pure and Applied Analysis, 2008, 7 (4) : 905-923. doi: 10.3934/cpaa.2008.7.905 |
[14] |
Akane Kawaharada. Singular function emerging from one-dimensional elementary cellular automaton Rule 150. Discrete and Continuous Dynamical Systems - B, 2022, 27 (4) : 2115-2128. doi: 10.3934/dcdsb.2021125 |
[15] |
Tomasz Nowicki, Grezegorz Świrszcz. Neutral one-dimensional attractor of a two-dimensional system derived from Newton's means. Conference Publications, 2005, 2005 (Special) : 700-709. doi: 10.3934/proc.2005.2005.700 |
[16] |
Michel Cristofol, Patricia Gaitan, Kati Niinimäki, Olivier Poisson. Inverse problem for a coupled parabolic system with discontinuous conductivities: One-dimensional case. Inverse Problems and Imaging, 2013, 7 (1) : 159-182. doi: 10.3934/ipi.2013.7.159 |
[17] |
Yvan Martel, Tiễn Vinh Nguyến. Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system. Discrete and Continuous Dynamical Systems, 2020, 40 (3) : 1595-1620. doi: 10.3934/dcds.2020087 |
[18] |
Tomasz Cieślak, Philippe Laurençot. Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system. Discrete and Continuous Dynamical Systems, 2010, 26 (2) : 417-430. doi: 10.3934/dcds.2010.26.417 |
[19] |
Shi Jin, Min Tang, Houde Han. A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface. Networks and Heterogeneous Media, 2009, 4 (1) : 35-65. doi: 10.3934/nhm.2009.4.35 |
[20] |
Mohammad Akil, Haidar Badawi. The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2022004 |
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