Results 1 to 10 of about 2,011,552 (116)

Fundamental Solutions for Periodic Media [PDF]

Advances in Mathematical Physics, 2014
Necessity for the periodic fundamental solutions arises when the periodic boundary value problems should be analyzed. The latter are naturally related to problems of finding the homogenized properties of the dispersed composites, porous media, and media ...
Sergey V. Kuznetsov
doaj   +3 more sources

Analytical Solution of Stationary Coupled Thermoelasticity Problem for Inhomogeneous Structures

Mathematics, 2021
A mathematical statement for the coupled stationary thermoelasticity is given on the basis of a variational approach and the contact boundary problem is formulated to consider inhomogeneous materials.
Sergey A. Lurie, Dmitrii B. Volkov-Bogorodskii, Petr A. Belov   +2 more
doaj   +1 more source

Anisotropic 𝑝-Laplacian Evolution of Fast Diffusion Type

Advanced Nonlinear Studies, 2021
We study an anisotropic, possibly non-homogeneous version of the evolution 𝑝-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive sharp L1L^{1}-L∞L^{\infty ...
Feo Filomena, Vázquez Juan Luis, Volzone Bruno   +2 more
doaj   +1 more source

On the Construction of Exact Numerical Schemes for Linear Delay Models

Mathematics, 2023
Exact numerical schemes have previously been obtained for some linear retarded delay differential equations and systems. Those schemes were derived from explicit expressions of the exact solutions, and were expressed in the form of perturbed difference ...
Carlos Julio Mayorga, María Ángeles Castro, Antonio Sirvent, Francisco Rodríguez   +3 more
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The nonlocal problem for a non-stationary third order composite type equation with general boundary condition

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
We consider a nonlocal boundary value problem for non-stationary composite type equation of the third order. The values of function and its derivatives up to the second order on the boundary are given as a linear combination.
Abdukomil Risbekovich Khashimov
doaj   +1 more source

Analytical and Numerical Model of Sloshing in a Rectangular Tank Subjected to a Braking

Mathematics, 2023
This paper examines the movement of waves that occur in a fuel tank—both with and without a wave breaker—when a car is travelling at a constant speed and then suddenly brakes. This phenomenon is known as slosh noise, and the paper presents an analysis of
Oana-Maria Balaş, Cristian Vasile Doicin, Elena Corina Cipu   +2 more
doaj   +1 more source

The Analysis of Hyers–Ulam Stability for Heat Equations with Time-Dependent Coefficient

Mathematics, 2022
In this paper, we prove the Hyers–Ulam stability and generalized Hyers–Ulam stability of ut(x,t)=a(t)Δu(x,t) with an initial condition u(x,0)=f(x) for x∈Rn and ...
Fang Wang, Ying Gao
doaj   +1 more source

Diet, physical activity and screen time but not body mass index are associated with the gut microbiome of a diverse cohort of college students living in university housing: a cross-sectional study

BMC Microbiology, 2018
Background Modifiable lifestyle factors (e.g. dietary intake and physical activity) are important contributors to weight gain during college. The purpose of this study was to evaluate whether associations exist between body mass index, physical activity,
Corrie M. Whisner, Juan Maldonado, Brandon Dente, Rosa Krajmalnik-Brown, Meg Bruening   +4 more
doaj   +1 more source

Fundamental solutions in the full coupled theory of elasticity for solid with double porosity

Archives of Mechanics, 2013
This paper discusses the full coupled linear theory of elasticity for solids with double porosity. The system of the governing equations is based on the equations of motion, conservation of fluid mass, the constitutive equations and Darcy’s law for ...
M. Svanadze, S. De Cicco
doaj   +1 more source

Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions [PDF]

, 1997
Asymptotic formula is derived for the behavior of the fundamental solution of the second-order elliptic self-adjoint operator with a piecewise-smooth coefficient in front of the senior derivatives near the discontinuity surface of the coefficient ...
Ramm, A. G.
core   +4 more sources