A hybrid model for traffic flow and crowd dynamics with random individual properties by Veronika Schleper

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Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries by Fatemeh Ahangari

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Structured Dynamics in the Algorithmic Agent by Giulio Ruffini, Francesca Castaldo, Jakub Vohryzek

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A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation by Boyaval, Sébastien

Subjects: “…Symmetric-hyperbolic systems of conservation laws…”
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Kinematic calculation of micro mirror elements in micro electro-mechanical systems (MEMS) by D. I. Chernyavsky, D. D. Chernyavsky

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A mixed system modeling two-directional pedestrian flows by Paola Goatin, Matthias Mimault

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The Method of Lines for Ternary Diffusion Problems by Henryk Leszczyński, Milena Matusik

“…The proposed ODEs satisfy the mass conservation law. The stability of solutions of these ODEs with respect to discrete L2 norms and discrete W1,∞ norms is investigated. …”
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Conservative Difference Scheme for Generalized Rosenau-KdV Equation by Yan Luo, Youcai Xu, Minfu Feng

“…The difference scheme shows a discrete analogue of the main conservation law associated to the equation. On the other hand the scheme is implicit and stable with second order convergence. …”
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Some Reduction and Exact Solutions of a Higher-Dimensional Equation by Guangming Wang, Zhong Han

“…The conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation were obtained using Noether’s theorem after an interesting substitution u=vx to the equation. …”
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A Conservation Difference Scheme of Generalized Boussinesq Equation by Xiaoli Jiang, Xiaofeng Wang

“…The efficiency of the proposed method is tested to numerical results that the convergence of space is of second-order and the conservation law of energy is verified very well for the energy difference.…”
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A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow by Xindong Li, Hongxing Rui

“…In the present mixed finite element, the approximate velocity is continuous and the conservation law still holds locally. The LBB consistent condition is established, while the error estimates are obtained for both the velocity and the pressure. …”
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Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces by Khaled Zennir, Aissa Boukarou, Rehab Nasser Alkhudhayr

“…Moreover, owing to the approximate conservation law, we prove the existence of global solution.…”
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Theoretical foundation for jung's “Mandala Symbolism” based on discrete chaotic dynamics of interacting neurons by V. Gontar

“…Obtained patterns can be related to the space distributed chemicals according to the law of extended principle of maximum entropy, consideration of the information exchange during biochemical transformations, mass conservation law and discrete chaotic dynamics principles.…”
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Time Delay In Necrotic Core Formation by Marek Bodnar, Urszula Foryś

“…The model is derived on the basis of reaction-diffusion dynamicsand mass conservation law. We introduce time delay in a cell proliferationprocess. …”
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Fourier Spectral Method for a Class of Nonlinear Schrödinger Models by Lei Zhang, Weihua Ou Yang, Xuan Liu, Haidong Qu

“…The proof of the conservation law of the mass and the energy for the semidiscrete and full-discrete Fourier spectral scheme is given. …”
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Les réseaux de la qualité de l’air : des associations stratèges actrices de l’action publique by Franck Boutaric

“…Their ability to participate in the development of tools for public action, such as information and alerte procedures and the air quality index (atmo index), attest to the role they play in managing public policies in the years both preceding and following the passing of the energy conservation law on the rational use of energy. In the end, the study of tools of public action is one of the significant approaches for understanding some of the mechanisms of change in a public policy. …”
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The Supply Chain Triangle: How Synchronisation, Stability, and Productivity of Material Flows Interact by Florian Klug

“…A multistage, continuous material flow is modelled through a conservation law for material density. Unlike similar approaches, our model is not based on some quasi steady-state assumptions about the stochastic behaviour of the involved supply chain but rather on a simple deterministic rule for material flow density. …”
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Riemann problems with non--local point constraints and capacity drop by Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano D. Rosini

“…In the present note we discuss in details the Riemann problem for a one-dimensional hyperbolic conservation law subject to a point constraint. We investigate how the regularity of the constraint operator impacts the well--posedness of the problem, namely in the case, relevant for numerical applications, of a discretized exit capacity. …”
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A Bayesian Network Model for Origin-Destination Matrices Estimation Using Prior and Some Observed Link Flows by Lin Cheng, Senlai Zhu, Zhaoming Chu, Jingxu Cheng

“…Under normal distribution assumption, the proposed Bayesian network model considers the level of total traffic flow, the variability of link flows, and the violation of the traffic flow conservation law. Both the point estimation and the corresponding probability intervals can be provided by this model. …”
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Origins and conservation of topological polarization defects in resonant photonic-crystal diffraction by Yin Xuefan, Inoue Takuya, Peng Chao, Noda Susumu

“…Unlike Bloch states, the polarization defects live and evolve in an unbound momentum space, obeying a local conservation law as a direct consequence of Stokes’ theorem, but the total charge number is countless.…”
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