Results 251 to 260 of about 11,826,715 (309)

Fundamental solution of steady oscillations in thermoelastic medium with voids

Waves in Random and Complex Media, 2020
The article deals with the study of plane wave propagation in the thermoelastic medium in the presence of voids. The problem is considered in the context of three-phase-lag model of generalized thermoelasticity.
S. Biswas
semanticscholar   +1 more source

Gradient estimates for the fundamental solution of Lévy type operator

Advances in Nonlinear Analysis, 2020
We prove a gradient estimate and the Hölder continuity of the gradient for the fundamental solution of a class of α-stable type operators with α ∈ (0, 1), which improve known results in the literature where the condition α > 1/2 is commonly assumed.
Wei Liu, R. Song, Longjie Xie
semanticscholar   +1 more source

Fundamental solution of steady oscillations equations in nonlocal thermoelastic medium with voids

, 2020
A new nonlocal theory of generalized thermoelasticity with voids based on Eringen’s nonlocal elasticity is established. The propagation of plane harmonic waves in nonlocal thermoelastic medium with voids is investigated in the context of dual-phase-lag ...
S. Biswas
semanticscholar   +1 more source

Fundamental solution of steady oscillations for porous materials with dual-phase-lag model in micropolar thermoelasticity

Mechanics based design of structures and machines, 2019
This article deals with the study of propagation of plane waves in an isotropic thermoelastic medium for porous materials with the linear theory of micropolar thermoelasticity.
S. Biswas
semanticscholar   +1 more source

Viscous effects on the fundamental solution to ship waves

Journal of Fluid Mechanics, 2019
The fundamental solution to steady ship waves accounting for viscous effects (the viscous-ship-wave Green function) is investigated within the framework of the weakly damped free-surface flow theory.
Hui Liang, Xiaobo Chen
semanticscholar   +1 more source

Preconditioners Based on Fundamental Solutions

BIT Numerical Mathematics, 2005
A new type of preconditioner is used in solving systems of linear algebraic equations obtained from the finite difference discretization of partial differential equations. This preconditioner is a discretization of an approximate inverse given by a convolution-like operator with the fundamental solution as a kernel.
Brandén, H., Sundqvist, P.
openaire   +2 more sources

Fundamental solution of a multi-dimensional distributed order fractional diffusion equation

The European Physical Journal Plus, 2021
A. Ansari
semanticscholar   +1 more source

Modified Fundamental Solutions

2011
As we have seen in Chapters 6 and 7, the integral equations of the second kind that arise in the classical direct and indirect boundary integral formulations may have multiple solutions for certain values of the oscillation frequency ω. In Chapter 7 it was shown that, for the exterior problems, a unique solution does exist if we operate with a special ...
Gavin R. Thomson, Christian Constanda
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Fundamental Solution Matrix

2004
Trajectories of a dynamical system, starting from a particular initial state, might evolve towards a steady state of the system. A steady state can be an equilibrium of the system but can also be a (quasi-)periodic motion. The stability of equilibria is (for the hyperbolic case) determined by the eigenvalues of the local linearization of the system ...
Remco I. Leine, Henk Nijmeijer
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Some new fundamental solutions

Mathematical Methods in the Applied Sciences, 1990
AbstractThe fundamental solutions of non‐decomposable evolution operators are represented by multi‐dimensional parameter integration formulae. The method is applied to operators occurring in the theories of elasticity, magnetohydrodynamics and heat conduction.
Norbert Ortner, Peter Wagner
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