Youngsoo Choi’s Post

In this paper, we delve into the intricacies of the time-fractional Fornberg-Whitham equation, employing the powerful Homotopy perturbation transform method with Caputo-Fabrizio fractional derivative. Through meticulous analysis and application of fixed point theory, we establish the existence and uniqueness of solutions for this complex equation. Our research goes beyond theoretical frameworks, offering practical insights into the physical interpretation of nonlinear models through semi-analytical solutions. These solutions not only showcase the effectiveness of our proposed method but also shed light on the dynamics of atmospheric phenomena. To further enhance understanding, we present visually stunning 2D and 3D graphs of derived solutions, providing a clear depiction of their behavior under various parameter values. Join us in unraveling the mysteries of atmospheric science and nonlinear dynamics. Find more information about our research, please visit: https://lnkd.in/g6aiFHis #ESCI #mathematics #Scopus #research

🌊 A light breeze rising over calm water initiates an intricate chain of events that culminates in a centimetres-deep turbulent shear layer capped by gravity–capillary ripples. Gregory Wagner, et al., explore this process using simplified, wave-averaged numerical simulations. They found that surface wave amplitude plays a crucial role in wind-drift layer evolution, highlighting the need for comprehensive models to predict these phenomena accurately. #FluidDynamics #WaveScience 🌀 See the Journal of Fluid Dynamics article at https://lnkd.in/gVE9hxRS

📃Scientific paper: Longitudinal Filtering, Sponge Layers, and Equatorial Jet Formation in a General Circulation Model of Gaseous Exoplanets Abstract: General circulation models are a useful tool in understanding the three dimensional structure of hot Jupiter and sub-Neptune atmospheres; however, understanding the validity of the results from these simulations requires an understanding the artificial dissipation required for numerical stability. In this paper, we investigate the impact of the longitudinal filter and vertical ``sponge'' used in the Met Office's \{\sc Unified Model\} when simulating gaseous exoplanets. We demonstrate that excessive dissipation can result in counter-rotating jets and a catastrophic failure to conserve angular momentum. Once the dissipation is reduced to a level where a super-rotating jet forms, however, the jet and thermal structure are relatively insensitive to the dissipation, except in the nightside gyres where temperatures can vary by $\sim 100\,\mathrm\{K\}$. We do find, however, that flattening the latitudinal profile of the longitudinal filtering alters the results more than a reduction in the strength of the filtering itself. We also show that even in situations where the temperatures are relatively insensitive to the dissipation, the vertical velocities can still vary with the dissipation, potentially impacting physical processes that depend on the local vertical transport. ;Comment: 20 pages, 28 figures, accepted to MNRAS Continued on ES/IODE ➡️ https://etcse.fr/F2oxA ------- If you find this interesting, feel free to follow, comment and share. We need your help to enhance our visibility, so that our platform continues to serve you.

Exploring Traffic Dynamics Through Statistical Physics A new research from Alexandre Solon and Eric Bertin at the CNRS, published today in the Journal of Statistical Mechanics: Theory and Experiment (JSTAT), https://rb.gy/zaglel, presents a new model that merges statistical physics with traffic analysis. This study offers a one-dimensional mathematical model simulating the movement dynamics of particles, akin to vehicle flow on highways and bacterial movement towards nutrients. The findings illuminate how variables such as density, inertia, and velocity influence traffic patterns, suggesting conditions under which traffic flows smoothly or becomes congested. Such insights not only enhance our understanding of daily traffic phenomena but also open doors to potential applications in urban planning and traffic management. Read the press release here: https://rb.gy/q625r5 #StatisticalPhysics #TrafficManagement #UrbanPlanning #JSTAT #CNRS #PhysicsResearch #Innovation

This study explores the spectral Galerkin approach to solving the space-time Schrödinger, wave, Airy, and beam equations. In order to facilitate the creation of a semi-analytical approximation solution, it uses polynomial bases that are formed from a linear combination of Jacobi polynomials (JPs) in both spatial and temporal dimensions. By using these polynomials to expand the exact solution, the paper hopes to satisfy the homogeneous starting and Dirichlet boundary requirements. Notably, the Jacobi Galerkin (JG) method exhibits exponential convergence rates if the solution is sufficiently smooth. Please visit: https://lnkd.in/gC7Z-cqY #ESCI #research #Scopus #mathematics

It is a great pleasure to share that I will be attending the "Geometry and non-adiabatic responses in non-equilibrium systems" (GeoNEQ24) international workshop 🌍 at the Max Planck Institute this week, organized by Pieter W. Claeys, Nathan Goldman, and Michael Kolodrubetz! I am humbled to be surrounded by brilliant minds, and it is a pleasure to share and learn from such an inspiring community. I will be presenting a talk entitled "Geometry of Generalized Landau Levels (GLLs): holomorphic curves and Cartan moving frames." In this talk, I will introduce GLLs, which are Bloch bands generalizing Landau levels of a charged particle in a magnetic field. We'll explore quantum geometry, specifically how quantum metric and Berry curvature inequalities relate to the emerging concept of Kähler bands. These bands can be interpreted as holomorphic curves in complex projective space, and they possess a distinguished unitary Frenet-Serret frame forming the GLLs. We'll discuss the quantum geometry of GLLs, Frenet-Serret formulas and quantum geometric recursion relations, and their implications for moiré materials and fractional Chern insulating phases. Looking forward to insightful discussions and new connections! 🌟🔬 https://lnkd.in/dy7sbWqe #GeoNEQ24 #CondensedMatter #QuantumGeometry #Conference #Research

https://lnkd.in/gXByK_zk Article Title: From Engle & Granger model to Johansen model for a more accurate photovoltaic power output forecast Author(s): Harry Ramenah* Journal: Annals of Mathematics and Physics Journal ISSN: 2689-7636 Abstract: The French government has recently decided to increase the Photovoltaic (PV) capacities to reach 35GW by 2028 in all french territories, the European territory, and overseas territories such as Reunion Island in the Indian Ocean. However, integrating growing numbers of PV power installations and microgrids onto the grid can result in larger-than-expected fluctuations in grid frequency. #Photovoltaic #Regression #EngleGranger #VECM #Cointegration #Correlogram #Mathematics #Algebra #Geometry #Calculus #Probability #Statistics #NumberTheory #MathematicalAnalysis #DiscreteMathematics #LinearAlgebra #DifferentialEquations #Topology #MathematicalModeling #AppliedMathematics #ComputationalMathematics #MathematicalLogic #FunctionalAnalysis #ComplexAnalysis #NumericalAnalysis #Optimization #GraphTheory #MathematicalPhysics #Cryptography #StochasticProcesses #GameTheory

Congratulations to Dr. Shaily (Assistant Professor #scsetbennett) for acceptance of the #research paper, “EDSFD parametrization in f(R,T) gravity with linear curvature terms” for #publication in Physics of Dark Universe, Elsevier. This paper investigates the flat Friedmann–Lemaitre–Robertson–Walker (FLRW) cosmological model using a suitable parameterization represented as a differential equation concerning the energy density of the scalar field, 𝜌𝜙, in the context of 𝑓 (𝑅, 𝑇) gravity theory. This parameterization is known as the Energy Density Scalar Field Differential Equation (EDSFD) parameterization. It results in a solution of the Hubble parameter containing four model parameters, namely, 𝛺𝑚0, 𝛺𝜙0, 𝐻0, and 𝛼. To constrain the model parameters, 77 data points from the Hubble dataset, 1048 points from the Pantheon dataset, and 6 data points from BAO are used. Using the constrained values, the author analyses and compare the proposed model with the standard 𝛬CDM model. The evolution of the physical parameters, which includes the deceleration parameter, density parameter, Equation of State (EoS) for Dark Energy, and 𝑂𝑚(𝑧) diagnostic, are discussed. #bennettuniversity #FacultyatBU #Cosmology #EnergyDensity #gravitytheory #darkenergy #equationofstate

📃Scientific paper: Hydrodynamic simulations of cool stellar atmospheres with \texttt\{MANCHA\} Abstract: Aims. Our aim is to test how different binning strategies previously studied in one-dimensional models perform in three-dimensional radiative hydrodynamic simulations of stellar atmospheres. Methods. Realistic box-in-a-star simulations of the near-surface convection and photosphere of three spectral types \(G2V, K0V, and M2V\) were run with the MANCHA code with grey opacity. After reaching the stationary state, one snapshot of each of the three stellar simulations was used to compute the radiative energy exchange rate with grey opacity, opacity binned in four $\tau$-bins, and opacity binned in 18 $\\{ \tau, \lambda \\}$-bins. These rates were compared with the ones computed with opacity distribution functions. Then, stellar simulations were run with grey, four-bin, and 18-bin opacities to see the impact of the opacity setup on the mean stratification of the temperature and its gradient after time evolution. Results. The simulations of main sequence cool stars with the MANCHA code are consistent with those in the literature. For the three stars, the radiative energy exchange rates computed with 18 bins are remarkably close to the ones computed with the opacity distribution functions. The rates computed with four bins are similar to the rates computed with 18 bins, and present a significant improvement with respect to the rates computed with the Rosseland opacity, especially above the stellar surface. The Rosseland mean can reproduce the proper rates in sub-surface lay... Continued on ES/IODE ➡️ https://etcse.fr/sNm ------- If you find this interesting, feel free to follow, comment and share. We need your help to enhance our visibility, so that our platform continues to serve you.