Nonlocal multi-scale traffic flow models: analysis beyond vector spaces
暂无分享,去创建一个
[1] Thomas Lorenz. Differential Equations for Closed Sets in a Banach Space , 2017 .
[2] Jean-Pierre Aubin,et al. Traffic Networks as Information Systems , 2017 .
[3] Jean-Pierre Aubin,et al. Traffic Networks as Information Systems: A Viability Approach , 2016 .
[4] Sheila Scialanga,et al. Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity , 2016, Networks Heterog. Media.
[5] Thomas Lorenz,et al. A Peano theorem for fuzzy differential equations with evolving membership grade , 2015, Fuzzy Sets Syst..
[6] J. Aubin. Regulation of Viable and Optimal Cohorts , 2015 .
[7] Rinaldo M. Colombo,et al. Nonlocal Systems of Conservation Laws in Several Space Dimensions , 2015, SIAM J. Numer. Anal..
[8] Rinaldo M. Colombo,et al. NonLocal Systems of Balance Laws in Several Space Dimensions with Applications to Laser Technolog , 2015, 1504.00163.
[9] Mauro Garavello,et al. Differential Equations Modeling Crowd Interactions , 2014, J. Nonlinear Sci..
[10] T. Faniran. Numerical Solution of Stochastic Differential Equations , 2015 .
[11] Christina Surulescu,et al. On a class of multiscale cancer cell migration models: Well-posedness in less regular function spaces , 2014 .
[12] N. Pogodaev,et al. On the modeling of moving populations through set evolution equations , 2014 .
[13] B. Piccoli,et al. Generalized Wasserstein Distance and its Application to Transport Equations with Source , 2012, 1206.3219.
[14] Rinaldo M. Colombo,et al. On the Control of Moving Sets: Positive and Negative Confinement Results , 2013, SIAM J. Control. Optim..
[15] P. Kloeden,et al. A Peano-Like Theorem for Stochastic Differential Equations with Nonlocal Sample Dependence , 2013 .
[16] J. Carrillo,et al. Measure Solutions for Some Models in Population Dynamics , 2011, 1112.0522.
[17] Jean-Pierre Aubin. Mutational and Morphological Analysis , 2012 .
[18] Rinaldo M. Colombo,et al. Confinement Strategies in a Model for the Interaction between Individuals and a Continuum , 2012, SIAM J. Appl. Dyn. Syst..
[19] Rinaldo M. Colombo,et al. Structured Populations, Cell Growth and Measure Valued Balance Laws , 2012 .
[20] P. Kloeden,et al. Stochastic morphological evolution equations , 2011 .
[21] R. Colombo,et al. Nonlocal Crowd Dynamics Models for Several Populations , 2011, 1110.3596.
[22] B. Piccoli,et al. Transport Equation with Nonlocal Velocity in Wasserstein Spaces: Convergence of Numerical Schemes , 2011, 1106.2555.
[23] R. Colombo,et al. A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC , 2011, 1104.2985.
[24] B. Piccoli,et al. Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow , 2008, 0811.3383.
[25] H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .
[26] P. Kloeden,et al. Stochastic Differential Equations with Nonlocal Sample Dependence , 2010 .
[27] Jean-Pierre Aubin,et al. Macroscopic traffic models: Shifting from densities to "Celerities" , 2010, Appl. Math. Comput..
[28] P. Gwiazda,et al. A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients , 2010 .
[29] O. Scherzer,et al. Weakly Differentiable Functions , 2009 .
[30] R. Colombo,et al. Balance laws as quasidifferential equations in metric spaces , 2009 .
[31] L. Ambrosio,et al. Uniqueness of signed measures solving the continuity equation for Osgood vector fields , 2008, 0807.1592.
[32] P. Mucha. Transport equation: extension of classical results for div $b\in$ BMO , 2008, 0806.1902.
[33] Thomas Lorenz. A Viability Theorem for Morphological Inclusions , 2008, SIAM J. Control. Optim..
[34] Nonlocal Sources in Hyperbolic Balance Laws with Applications , 2008 .
[35] L. Ambrosio. Transport Equation and Cauchy Problem for Non-Smooth Vector Fields , 2008 .
[36] R. Colombo,et al. Hyperbolic Balance Laws with a Dissipative Non Local Source , 2007, 0712.1555.
[37] R. Colombo,et al. Differential Equations in Metric Spaces with Applications , 2007, 0712.0560.
[38] S. Maniglia,et al. Probabilistic representation and uniqueness results for measure-valued solutions of transport equations , 2007 .
[39] R. Colombo,et al. Non local balance laws in traffic models and crystal growth , 2007 .
[40] Gianluca Crippa,et al. Uniqueness, Renormalization, and Smooth Approximations for Linear Transport Equations , 2006, SIAM J. Math. Anal..
[41] A. Murillo. Tangential Regularity in the Space of Directional-Morphological Transitions £ , 2006 .
[42] Ben Galin,et al. The Arzelà-Ascoli Theorem , 2006 .
[43] V. Lakshmikantham,et al. Theory of Set Differential Equations in Metric Spaces , 2005 .
[44] L. Ambrosio,et al. Gradient Flows: In Metric Spaces and in the Space of Probability Measures , 2005 .
[45] L. Ambrosio. Transport equation and Cauchy problem for BV vector fields , 2004 .
[46] Cité Descartes,et al. Renormalized solutions of some transport equations with partially W 1,1 velocities and applications , 2004 .
[47] M. Hirsch,et al. Differential Equations, Dynamical Systems, and an Introduction to Chaos , 2003 .
[48] Thomas Lorenz. Set-valued maps for image segmentation , 2001 .
[49] Ronald F. Gariepy. FUNCTIONS OF BOUNDED VARIATION AND FREE DISCONTINUITY PROBLEMS (Oxford Mathematical Monographs) , 2001 .
[50] A. Bressan. On the Cauchy Problem for Nonlinear Hyperbolic Systems , 1998 .
[51] Jürgen Elstrodt,et al. Maß-und Integrationstheorie , 1996 .
[52] Jean-Pierre Aubin,et al. Mutational equations in metric spaces , 1993 .
[53] L. Evans. Measure theory and fine properties of functions , 1992 .
[54] P. Lions,et al. Ordinary differential equations, transport theory and Sobolev spaces , 1989 .
[55] W. Ziemer. Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation , 1989 .
[56] N. Pavel. Nonlinear Evolution Operators and Semigroups , 1987 .
[57] J. Vaillant,et al. The Cauchy problem for nonlinear hyperbolic systems , 1986 .
[58] A. Mukherjea,et al. Real and Functional Analysis , 1978 .
[59] N. G. Parke,et al. Ordinary Differential Equations. , 1958 .