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A viscoelastic Timoshenko Beam Model: Regularity and Numerical Approximation
We derive a fully-discrete finite element scheme to a fractional Timoshenko beam model, which characterizes the mechanical responses of viscoelastic...
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Extensions of the Classical Percolation Model
The classical percolation model described in Chap. 2 is appropriate when there are no correlations between...
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Dictionary-based model reduction for state estimation
We consider the problem of state estimation from a few linear measurements, where the state to recover is an element of the manifold
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Searching for Parameters of a Model with the Best Local Controllability
AbstractWe study the problem of optimal choice of model parameters with respect to any functional. Locally controllable affine systems and integral...
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Effect of inclined magnetic field on natural convection and entropy generation of non-Newtonian ferrofluid in a square cavity having a heated wavy cylinder
Magnetohydrodynamic (MHD) natural convection of non-Newtonian ferrofluid and entropy generation in a square enclosure containing a wavy cylinder was...
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Well-Posedness and Stability Analysis of a Landscape Evolution Model
In this paper, we study a system of partial differential equations modeling the evolution of a landscape in order to describe the mechanisms of...
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Mathematical Model of Current Distribution in a Tungsten Plate during Pulsed Heating
AbstractIn this paper, for the first time, we present a new model of current distribution in a tungsten sample and of substance evaporation when the...
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A New Dynamic Model for Electrolytic Dissociation
A mathematical model of electrolytic dissociation based on the law of acting masses and representing a dynamical system of three ODE. An exact...
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A model specification test for nonlinear stochastic diffusions with delay
This paper investigates model specification problems for nonlinear stochastic differential equations with delay (SDDE). Compared to the model...
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Oscillations in \(p\)-Adic Diffusion Processes and Simulation of the Conformational Dynamics of Protein
AbstractLogarithmic oscillations superimposed on a power-law trend appear in the behavior of various complex hierarchical systems. In this paper, we...
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A mathematical model of the human heart suitable to address clinical problems
In this paper, we present a mathematical model capable of simulating the human cardiac function. We review the basic equations of the model, their...
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Multi-layer analytic solution for k-ω model equations via a symmetry approach
Despite being one of the oldest and most widely-used turbulence models in engineering computational fluid dynamics (CFD), the k - ω model has not been...
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Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise
The Moore-Greitzer partial differential equation (PDE) is a commonly used mathematical model for capturing flow and pressure changes in axial-flow...
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Effect of Temperature Distribution on the Calculation of the Thermal Current in the Mathematical Model of Pulsed Heating of a Tungsten
AbstractIn this paper current distribution model in the tungsten sample and vapor at surface under electron beam heat was considered. The model is...
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Adaptive state-constrained/model-free iterative sliding mode control for aerial robot trajectory tracking
This paper develops a novel hierarchical control strategy for improving the trajectory tracking capability of aerial robots under parameter...
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Characteristic analysis of mechanical thermal coupling model for bearing rotor system of high-speed train
Based on Newton’s second law and the thermal network method, a mechanical thermal coupling model of the bearing rotor system of high-speed trains is...
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On consistency for time series model selection
We consider the model selection problem for a large class of time series models, including, multivariate count processes, causal processes with...
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Optical dromions for complex Ginzburg Landau model with nonlinear media
This manuscript studies the optical dromions with beta derivative (BD) applied to the Complex Ginzburg Landau equation (CGLE) with Kerr law,...
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Solvability analysis of a magneto-heat coupling magnetization model for ferromagnetic materials
This paper studies the magneto-heat coupling magnetization problem with ferromagnetic materials, which consists of quasi–static Maxwell’s equations...
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On the convergence rate of the Kačanov scheme for shear-thinning fluids
We explore the convergence rate of the Kačanov iteration scheme for different models of shear-thinning fluids, including Carreau and power-law type...
