A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics by Rafael J. Villanueva, Abraham J. Arenas, Gilberto González-Parra

“…Since the total population in this mathematical model is assumed constant, the proposed scheme has been constructed to satisfy the associated conservation law and positivity condition. Numerical comparisons between the competitive nonstandard scheme developed here and Euler's method show the effectiveness of the proposed nonstandard numerical scheme. …”
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Robust Diffeomorphic Mapping via Geodesically Controlled Active Shapes by Daniel J. Tward, Jun Ma, Michael I. Miller, Laurent Younes

“…This paper presents recent advances in the use of diffeomorphic active shapes which incorporate the conservation laws of large deformation diffeomorphic metric mapping. …”
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Dynamical constraints on pseudo-gauge transformations by Zbigniew Drogosz, Wojciech Florkowski, Mykhailo Hontarenko, Radoslaw Ryblewski

“…For pseudo-gauge transformations connecting two symmetric energy-momentum tensors, we find that the super-potential Φλμν must obey a conservation law of the form ∂λΦλμν=0. This equation, referred to below as the STS condition, represents a constraint that is hardly possible to be satisfied for tensors constructed out of the basic hydrodynamic variables such as temperature, baryon chemical potential, and the hydrodynamic flow. …”
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Simple Model for Simulating Characteristics of River Flow Velocity in Large Scale by Husin Alatas, Dyo D. Prayuda, Achmad Syafiuddin, May Parlindungan, Nurjaman O. Suhendra, Hidayat Pawitan

“…The model relies on mass-momentum conservation law and modified equation of motion of falling body in inclined plane. …”
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Adaptive Neural Network Variable Structure Control for Liquid-Filled Spacecraft under Unknown Input Saturation by Hongwei Wang, Shufeng Lu, Xiaojuan Song

“…The liquid fuel is equivalent to a spherical pendulum model, and the coupled dynamic model of liquid-filled spacecraft is derived using the conservation law of angular momentum moment. Then, adaptive variable structure control technique is designed, which contains hyperbolic tangent function that preserves control smoothness at all times. …”
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New Findings by High-Order DNS for Late Flow Transition in a Boundary Layer by Chaoqun Liu, Lin Chen, Ping Lu

“…Following the first Helmholtz vortex conservation law, the primary vortex tube rolls up and is stretched due to the velocity gradient. …”
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Teaching ideal quantum measurement, from dynamics to interpretation by Allahverdyan, Armen E., Balian, Roger, Nieuwenhuizen, Theo M.

“…The resulting dynamical equations may be solved for simple models. Conservation laws are shown to entail two independent relaxation mechanisms: truncation and registration. …”
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Identifiability of mathematical models in medical biology by S. I. Kabanikhin, D. A. Voronov, A. A. Grodz, O. I. Krivorotko

“…Math modeling of dynamic processes is based on the use of the mass conservation law. While addressing the problem of estimation of the parameters characterizing the process under the study, the question of nonuniqueness arises. …”
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Polarization modes of gravitational waves in scalar-tensor-Rastall theory by Yu-Zhi Fan, Xiao-Bin Lai, Yu-Qi Dong, Yu-Xiao Liu

“…Abstract Rastall theory, originally introduced in 1972, suggests a violation of the usual conservation law. We consider two generalizations of Rastall theory: Brans–Dicke–Rastall theory and the newly established scalar-tensor-Rastall theory, the latter being a further generalization of the former. …”
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Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations by M. Nadjafikhah, A. Mokhtary

“…Indeed, as a main consequence, this extended procedure is applied in order to compute the approximate conservation laws and approximate recursion operators corresponding to these types of equations. …”
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Numerical Feedback Stabilization with Applications to Networks by Simone Göttlich, Peter Schillen

“…The focus is on the numerical consideration of feedback boundary control problems for linear systems of conservation laws including source terms. We explain under which conditions the numerical discretization can be used to design feedback boundary values for network applications such as electric transmission lines or traffic flow systems. …”
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On the Splitting of the Einstein Field Equations with respect to General (1+3) Threading of Spacetime by Aurel Bejancu, Hani Reda Farran

“…Based on general (1+3) threading of the spacetime (M,g), we obtain a new and simple splitting of both the Einstein field equations (EFE) and the conservation laws in (M,g). As an application, we obtain the splitting of EFE in an almost FLRW universe with energy-momentum tensor of a perfect fluid. …”
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Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation by Wenjuan Rui, Yufeng Zhang

“…Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. …”
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A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure by Yuqin Yao, Shoufeng Shen, Wen-Xiu Ma

“…Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity, and thus, all presented equations possess infinitely commuting many symmetries and conservation laws, which implies their Liouville integrability.…”
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Entropy Schemes for One-Dimensional Convection-Diffusion Equations by Rongsan Chen

“…In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. …”
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Radiative Mixed Convection over an Isothermal Cone Embedded in a Porous Medium with Variable Permeability by M. F. El-Amin, N. A. Ebrahiem, Amgad Salama, Shuyu Sun

“…The transformed conservation laws are solved numerically for the case of variable surface temperature conditions. …”
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Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation by Wen-guang Cheng, Biao Li, Yong Chen

“…Finally, the infinite conservation laws of this equation are obtained by decoupling binary Bell polynomials. …”
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Lie groups and continuum mechanics: where do we stand today? by de Saxcé, Géry, Razafindralandy, Dina

“…We consider the Lie symmetry group of the equations of a mechanical problem and investigate how to take advantage of them in developping analytical models (self-similar solutions, conservation laws, turbulence, ...) of the physical phenomena encoded in these equations. …”
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Time-Scale Version of Generalized Birkhoffian Mechanics and Its Symmetries and Conserved Quantities of Noether Type by Jin-Yue Chen, Yi Zhang

“…The time-scale version of Noether symmetry and conservation laws for three Birkhoffian mechanics, namely, nonshifted Birkhoffian systems, nonshifted generalized Birkhoffian systems, and nonshitfed constrained Birkhoffian systems, are studied. …”
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Hydrodynamic scaling limit of continuum solid-on-solid model by Anamaria Savu

“…What distinguishes our model from other models discussed so far is the presence of two conservation laws for the dynamics in a nonperiodic box and the complex dynamics that is not nearest-neighbor interaction. …”
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