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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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & Continuous Dynamical Systems, 2019, 39 (6) : 35773608. doi: 10.3934/dcds.2019147 
[14] 
Nicolas Fournier. Particle approximation of some Landau equations. Kinetic & Related Models, 2009, 2 (3) : 451464. doi: 10.3934/krm.2009.2.451 
[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 & 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 & 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 & 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] 
Ning Lu, Ying Liu. Application of support vector machine model in wind power prediction based on particle swarm optimization. Discrete & Continuous Dynamical Systems  S, 2015, 8 (6) : 12671276. doi: 10.3934/dcdss.2015.8.1267 
[20] 
Michael Böhm, Martin Höpker. A note on modelling with measures: Twofeatures balance equations. Mathematical Biosciences & Engineering, 2015, 12 (2) : 279290. doi: 10.3934/mbe.2015.12.279 
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