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New insights into the classical mechanics of particle systems
1.  Department of Mechanical Engineering, McGill University, Montréal, Québec H3A 2K6, Canada 
[1] 
Constantine M. Dafermos. Hyperbolic balance laws with relaxation. Discrete and Continuous Dynamical Systems, 2016, 36 (8) : 42714285. doi: 10.3934/dcds.2016.36.4271 
[2] 
Graziano Crasta, Benedetto Piccoli. Viscosity solutions and uniqueness for systems of inhomogeneous balance laws. Discrete and Continuous Dynamical Systems, 1997, 3 (4) : 477502. doi: 10.3934/dcds.1997.3.477 
[3] 
Rinaldo M. Colombo, Graziano Guerra. Hyperbolic balance laws with a dissipative non local source. Communications on Pure and Applied Analysis, 2008, 7 (5) : 10771090. doi: 10.3934/cpaa.2008.7.1077 
[4] 
Laura Caravenna. Regularity estimates for continuous solutions of αconvex balance laws. Communications on Pure and Applied Analysis, 2017, 16 (2) : 629644. doi: 10.3934/cpaa.2017031 
[5] 
Claude Vallée, Camelia Lerintiu, Danielle Fortuné, Kossi Atchonouglo, Jamal Chaoufi. Modelling of implicit standard materials. Application to linear coaxial nonassociated constitutive laws. Discrete and Continuous Dynamical Systems  S, 2013, 6 (6) : 16411649. doi: 10.3934/dcdss.2013.6.1641 
[6] 
Yanni Zeng. L^{P} decay for general hyperbolicparabolic systems of balance laws. Discrete and Continuous Dynamical Systems, 2018, 38 (1) : 363396. doi: 10.3934/dcds.2018018 
[7] 
Piotr Gwiazda, Piotr Orlinski, Agnieszka Ulikowska. Finite range method of approximation for balance laws in measure spaces. Kinetic and Related Models, 2017, 10 (3) : 669688. doi: 10.3934/krm.2017027 
[8] 
Stephan Gerster, Michael Herty. Discretized feedback control for systems of linearized hyperbolic balance laws. Mathematical Control and Related Fields, 2019, 9 (3) : 517539. doi: 10.3934/mcrf.2019024 
[9] 
Kenta Nakamura, Tohru Nakamura, Shuichi Kawashima. Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws. Kinetic and Related Models, 2019, 12 (4) : 923944. doi: 10.3934/krm.2019035 
[10] 
B. L. G. Jonsson. Wave splitting of Maxwell's equations with anisotropic heterogeneous constitutive relations. Inverse Problems and Imaging, 2009, 3 (3) : 405452. doi: 10.3934/ipi.2009.3.405 
[11] 
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch. Coupling techniques for nonlinear hyperbolic equations. Ⅱ. resonant interfaces with internal structure. Networks and Heterogeneous Media, 2021, 16 (2) : 283315. doi: 10.3934/nhm.2021007 
[12] 
P. Balseiro, M. de León, Juan Carlos Marrero, D. Martín de Diego. The ubiquity of the symplectic Hamiltonian equations in mechanics. Journal of Geometric Mechanics, 2009, 1 (1) : 134. doi: 10.3934/jgm.2009.1.1 
[13] 
Elena Rossi. Wellposedness of general 1D initial boundary value problems for scalar balance laws. Discrete and Continuous Dynamical Systems, 2019, 39 (6) : 35773608. doi: 10.3934/dcds.2019147 
[14] 
Mathias Dus. The discretized backstepping method: An application to a general system of $ 2\times 2 $ linear balance laws. Mathematical Control and Related Fields, 2022 doi: 10.3934/mcrf.2022006 
[15] 
Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences. Inverse Problems and Imaging, 2016, 10 (4) : 869898. doi: 10.3934/ipi.2016025 
[16] 
Jean Ginibre, Giorgio Velo. Modified wave operators without loss of regularity for some long range Hartree equations. II. Communications on Pure and Applied Analysis, 2015, 14 (4) : 13571376. doi: 10.3934/cpaa.2015.14.1357 
[17] 
Mohamed Assellaou, Olivier Bokanowski, Hasnaa Zidani. Error estimates for second order HamiltonJacobiBellman equations. Approximation of probabilistic reachable sets. Discrete and Continuous Dynamical Systems, 2015, 35 (9) : 39333964. doi: 10.3934/dcds.2015.35.3933 
[18] 
Shitao Liu, Roberto Triggiani. Determining damping and potential coefficients of an inverse problem for a system of two coupled hyperbolic equations. Part I: Global uniqueness. Conference Publications, 2011, 2011 (Special) : 10011014. doi: 10.3934/proc.2011.2011.1001 
[19] 
Nicolas Fournier. Particle approximation of some Landau equations. Kinetic and Related Models, 2009, 2 (3) : 451464. doi: 10.3934/krm.2009.2.451 
[20] 
Ning Lu, Ying Liu. Application of support vector machine model in wind power prediction based on particle swarm optimization. Discrete and Continuous Dynamical Systems  S, 2015, 8 (6) : 12671276. doi: 10.3934/dcdss.2015.8.1267 
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