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Auerbach, Lotka, and Zipf: pioneers of power-law city-size distributions
Power-law city-size distributions are a statistical regularity researched in many countries and urban systems. In this history of science treatise...
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Nonlinear dynamic longitudinal deformation of a viscoelastic rod with power-law nonlinearity
In this paper, by methods of symmetry analysis, we study a model of longitudinal dynamic deformation of a viscoelastic rod with a power-law...
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On Exact Solutions of a Multidimensional System of Elliptic Equations with Power-Law Nonlinearities
AbstractEquations and systems of elliptic type with power-law nonlinearities are considered. Such equations are found in modeling distributed...
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Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis
In this work, three discontinuous Galerkin (DG) methods are formulated and analysed to solve Stokes equations with power law slip boundary condition....
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Analysis of a Stabilised Finite Element Method for Power-Law Fluids
A low-order finite element method is constructed and analysed for an incompressible non-Newtonian flow problem with power-law rheology. The method is...
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Power Law Approximation Results for Optimal Design Problems
In this note, we show some results related to power law approximations for optimal design and damaging problems. The asymptotics, via...
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Implementation of the Exp-function approach for the solution of KdV equation with dual power law nonlinearity
The aim of this manuscript is to find the analytical solutions of the Korteweg–de Vries (KdV) equation with dual power law nonlinearity using the...
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Time regularity of generalized Navier-Stokes equation with p(x,t)-power law
We show time regularity of weak solutions for unsteady motion equations of generalized Newtonian fluids described by p ( x , t )-power law for p ( x,t ) ⩾ (3 n ...
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Power-Law Generalization of Newton’s Formula for Shear Stress in a Liquid in the Form of a Tensor Rheological Relation
AbstractA generalization of Newton’s formula for shear stress in a fluid is carried out by giving it a power-law form and the corresponding...
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Power-Law Dynamic Arising from Machine Learning
We study a kind of new SDE that was arisen from the research on optimization in machine learning, we call it power-law dynamic because its stationary...
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A non-iterative transformation method for boundary-layer with power-law viscosity for non-Newtonian fluids
In this paper, we have defined and applied a non-iterative transformation method to an extended Blasius problem describing a 2D laminar...
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Cagan model of inflation with power-law memory effects
This paper considers a generalization of the model that has been proposed by Phillip D. Cagan to describe the dynamics of the actual inflation. In...
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Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity
AbstractIn this paper, we investigate the KdV equation with dual-power law nonlinearity. As a result, we have obtained general exact travelling wave...
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Efficient Spectral Method for Stable Stratified Power-Law Fluid Flows with Dispersion Over Convectively Heated Truncated Cone in a Non-Darcy Porous Medium
This problem deals with the power-law fluid flow with thermally stable stratification in a non-Darcy porous medium over a convectively heated...
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The Impact of Frequency Bandwidth on a One-Dimensional Model for Dispersive Wave Turbulence
We combine theory and high-resolution direct numerical simulation to resolve a long-standing puzzle concerning the forced–dissipative statistics of a...
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Approximations of Cumulants of the Stochastic Power Law Logistic Model
Asymptotic approximations of the first three cumulants of the quasi-stationary distribution of the stochastic power law logistic model are derived....
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On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative
In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a...
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Stochastic Natural Frequencies of Functionally Graded Plates Based on Power Law Index
The present paper deals with the stochastic natural frequency analysis of functionally graded material (FGM) plates by employing the multivariate...
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Existence, stability, and numerical simulations of a fractal-fractional hepatitis B virus model
This paper uses a new fractal-fractional operator with a power law-type kernel in the Riemann-Liouville sense to formulate the new fractal-fractional...
