scholarly journals Simulation of electromagnetic scattering with stationary or accelerating targets

2015 ◽  
Vol 26 (07) ◽  
pp. 1550075 ◽  
Author(s):  
Daniele Funaro ◽  
Eugene Kashdan
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Electromagnetic Scattering ◽  
Compact Support ◽  
Finite Differences ◽  
Electromagnetic Waves ◽  
Explicit Solutions ◽  
Mechanics Of Fluids ◽  
Material Body ◽  
Model Equations

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be modeled in this context since they turn out to be explicit solutions. From the numerical viewpoint, the interaction of these waves with a material body is examined. Computations are carried out via a parallel high-order finite-differences code. Due to the presence of a gradient of pressure in the model equations, waves hitting the obstacle may impart acceleration to it. Some explicative 2D dynamical configurations are then studied, enabling the simulation of photon-particle iterations through classical arguments.

scholarly journals Identification of heat and mass transfer processes in bread during baking

2005 ◽  
Vol 9 (2) ◽  
pp. 73-86 ◽  
Author(s):  
Ivanka Zheleva ◽  
Vesselka Kambourova
Keyword(s):  
Partial Differential Equations ◽  
Moisture Content ◽  
Differential Equations ◽  
Moisture Transfer ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Mass Transfer Processes ◽  
Model Equations ◽  
Heat And Moisture ◽  
Simultaneous Heat

A mathematical model representing temperature and moisture content in bread during baking is developed. The model employs the coupled partial differential equations proposed by Luikov. Dependences of mass and thermal properties of dough on temperature and moisture content are included in the model. Resulting system of non-linear partial differential equations in time and one space dimension is reduced to algebraic system by applying a finite difference numerical method. A numerical solution of the model equations is obtained and simultaneous heat and moisture transfer in dough during baking is predicted. The changes of temperature and moisture content during the time of the process are graphically presented and commented.

scholarly journals On some model equations for pulsatile flow in viscoelastic vessels

2020 ◽  
Author(s):  
Dimitrios Mitsotakis ◽  
D Dutykh ◽  
Q Li ◽  
E Peach
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Pulsatile Flow ◽  
Cylindrical Symmetry ◽  
Periodic Waves ◽  
Partial Differential ◽  
Asymptotic Models ◽  
Constant Radius ◽  
Model Equations ◽  
Viscous Stresses

© 2019 Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the propagation of long-crested pulses in pipes with cylindrical symmetry. Additional effects due to viscous stresses in bio-fluids are also taken into account. The effects of viscoelasticity of the vessels on the propagation of solitary and periodic waves in a vessel of constant radius are being explored numerically.

scholarly journals Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operators

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Resat Yilmazer ◽  
Okkes Ozturk
Keyword(s):  
Differential Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Calculus ◽  
Ordinary Differential Equations ◽  
Explicit Solutions ◽  
Singular Differential Equation ◽  
Linear Ordinary Differential Equations ◽  
Particular Solutions ◽  
Fractional Calculus Operators

Recently, several authors demonstrated the usefulness of fractional calculus operators in the derivation of particular solutions of a considerably large number of linear ordinary and partial differential equations of the second and higher orders. By means of fractional calculus techniques, we find explicit solutions of second-order linear ordinary differential equations.

Sign in / Sign up

Export Citation Format

Share Document