scholarly journals Global parametrices for fundamental solutions of first order pseudo-differential hyperbolic operators

1990 ◽  
Vol 28 (1-2) ◽  
pp. 101-109
Author(s):  
Lars Gärding
Keyword(s):  
Fundamental Solutions ◽  
First Order ◽  
Hyperbolic Operators

Fundamental solutions of a class of ultra-hyperbolic operators on pseudo H-type groups

2020 ◽  
Vol 369 ◽  
pp. 107186
Author(s):  
Wolfram Bauer ◽  
André Froehly ◽  
Irina Markina
Keyword(s):  
Fundamental Solutions ◽  
Hyperbolic Operators

scholarly journals The Analytical Form of the Dispersion Equation of Elastic Waves in Periodically Inhomogeneous Medium of Different Classes of Crystals

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Nurlybek A. Ispulov ◽  
Abdul Qadir ◽  
Marat K. Zhukenov ◽  
Talgat S. Dossanov ◽  
Tanat G. Kissikov
Keyword(s):  
Elastic Waves ◽  
Material Science ◽  
Analytical Form ◽  
Fundamental Solutions ◽  
Difficulty Level ◽  
Elastic Media ◽  
Thermoelastic Wave ◽  
First Order ◽  
First Order Differential Equations ◽  
Equations Of Motions

The investigation of thermoelastic wave propagation in elastic media is bound to have much influence in the fields of material science, geophysics, seismology, and so on. The heat conduction equations and bound equations of motions differ by the difficulty level and presence of many physical and mechanical parameters in them. Therefore thermoelasticity is being extensively studied and developed. In this paper by using analytical matrizant method set of equation of motions in elastic media are reduced to equivalent set of first-order differential equations. Moreover, for given set of equations, the structure of fundamental solutions for the general case has been derived and also dispersion relations are obtained.

scholarly journals A New Algorithm for the Numerical Solution of Diffusion Problems Related to the Smoluchowski Equation

2000 ◽  
Vol 214 (6) ◽  
Author(s):  
B. Nickel
Keyword(s):  
Diffusion Coefficient ◽  
Kinetic Models ◽  
Rate Coefficient ◽  
Fundamental Solutions ◽  
Smoluchowski Equation ◽  
Spherically Symmetric ◽  
Symmetric Potential ◽  
First Order ◽  
Basic Features ◽  
Diffusion Problems

Diffusion-influenced reactions can often be described with simple kinetic models, whose basic features are a spherically symmetric potential, a distance-dependent relative diffusion coefficient, and a distance-dependent first-order rate coefficient. A new algorithm for the solution of the corresponding Smoluchowski equation has been developed. Its peculiarities are: (1) A logarithmic increase of the radius; (2) the systematic use of numerical fundamental solutions w of the Smoluchowski equation; (3) the use of polynomials of up to the 8

scholarly journals The Propagation of Thermoelastic Waves in Anisotropic Media of Orthorhombic, Hexagonal, and Tetragonal Syngonies

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Nurlybek A. Ispulov ◽  
Abdul Qadir ◽  
Marat Zhukenov ◽  
Erkin Arinov
Keyword(s):  
Wave Propagation ◽  
Fundamental Solutions ◽  
Thermoelastic Medium ◽  
Thermoelastic Wave ◽  
Economic Implications ◽  
First Order ◽  
The Given ◽  
Thermoelastic Waves ◽  
Hexagonal Syngony ◽  
Equations Of Motions

The investigation of wave propagation in elastic medium with thermomechanical effects is bound to have important economic implications in the field of composite materials, seismology, geophysics, and so on. In this article, thermoelastic wave propagation in anisotropic mediums of orthorhombic and hexagonal syngony having heterogeneity along z-axis is studied. Such medium has second-order axis symmetry. By using analytical matriciant method, a set of equations of motions in thermoelastic medium are reduced to an equivalent set of the first-order differential equations. In the general case, for the given set of equations, structures of fundamental solutions are made and dispersion relations are obtained.

Sign in / Sign up

Export Citation Format

Share Document