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Wyszukujesz frazę "Kirchhoff equation" wg kryterium: Temat


Wyświetlanie 1-8 z 8
Tytuł:
Multiplicity results for an impulsive boundary value problem of p(t)-Kirchhoff type via critical point theory
Autorzy:
Mokhtari, A.
Moussaoui, T.
O'Regan, D.
Powiązania:
https://bibliotekanauki.pl/articles/255007.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
genus theory
nonlocal problems
impulsive conditions
Kirchhoff equation
p(i)-Laplacian
variational methods
critical point theory
Opis:
In this paper we obtain existence results of k distinct pairs nontrivial solutions for an impulsive boundary value problem of p(t)-Kirchhoff type under certain conditions on the parameter λ.
Źródło:
Opuscula Mathematica; 2016, 36, 5; 631-649
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical approaches to the heat transfer problem in modern electronic structures
Autorzy:
Raszkowski, T.
Samson, A.
Powiązania:
https://bibliotekanauki.pl/articles/952934.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nanoscale heat transfer
Fourier-Kirchhoff equation
dual-phase-lag equation
finite difference method
Runge-Kutta method
gear’s method
thermal analyses
Opis:
The main aim of this paper is to present a detailed description of the research related to the modeling of heat conduction in modern electronic structures, including special consideration for numerical aspects of analyzed algorithms. The motivation to undertake the research as well as some of the most-important results of the experiments and simulations are also included. Moreover, a numerical approximation of the problem as well as the methodology used and a sample solution of the mentioned problem are presented. In the main part, the discretization techniques, Ordinary Differential Equation algorithms, and simulation results for Runge-Kutta’s and Gear’s algorithms are analyzed and discussed. Additionally, a new effective approach to the modeling of heat transfer in electronic nanostructures is demonstrated.
Źródło:
Computer Science; 2017, 18 (1); 71-93
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On free convection heat transfer from vertical plate - proposition of a new model
Autorzy:
Leble, S.
Lewandowski, W. M.
Powiązania:
https://bibliotekanauki.pl/articles/1938587.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
Navier-Stokes equations
Fourier-Kirchhoff equation
free convective heat transfer
analytical solution
sothermal surface
boundary layer
vertical plate
Opis:
The free convection heat transfer from an isothermal vertical plate in open space is investigated theoretically. In contrast to conventional approaches we use neither boundary layer nor self-similarity concepts. We base on expansion of the fields of velocity and temperature in a Taylor Series in x coordinate with coefficients being functions of the vertical coordinate (y). In the minimal version of the theory we restrict ourselves by cubic approximation for both functions. The Navier-Stokes and Fourier-Kirchhoff equations that describe the phenomenon give links between coefficient functions of y that after exclusion leads to the ordinary differential equation of forth order (of the Mittag-Leffleur type). Such construction implies four boundary conditions for a solution of this equation while the links between the coefficients need two extra conditions. All the conditions are chosen on the basis of the experience usual for free convection. The choice allows us to express all the theory parameters as functions of the Rayleigh number and the temperature difference. To support the conformity of the theory we derive the Nusselt-Rayleigh numbers relation that has the traditional form. The solution in the form of velocity and temperature profiles is evaluated and illustrated for air by examples of plots of data.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 249-265
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multiplicity results for perturbed fourth-order Kirchhoff-type problems
Autorzy:
Tavani, M. R. H.
Afrouzi, G. A.
Heidarkhani, S.
Powiązania:
https://bibliotekanauki.pl/articles/952853.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
multiplicity results
multiple solutions
fourth-order Kirchhoff-type equation
variational methods
critical point theory
Opis:
In this paper, we investigate the existence of three generalized solutions for fourth-order Kirchhoff-type problems with a perturbed nonlinear term depending on two real parameters. Our approach is based on variational methods.
Źródło:
Opuscula Mathematica; 2017, 37, 5; 755-772
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modeling of heat transfer and fluid flow in a rectangular channel with an obstacle
Autorzy:
Stryczyński, Mikołaj
Majchrzak, Ewa
Powiązania:
https://bibliotekanauki.pl/articles/1839780.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
channel with an obstacle
Fourier-Kirchhoff equation
Navier-Stokes equations
finite difference method
równanie Fouriera-Kirchhoffa
równania Naviera-Stokesa
metoda różnic skończonych
Opis:
Heat transfer and fluid flow in the rectangular channel with an obstacle are considered. The problem is described by the Fourier-Kirchhoff equation, Navier-Stokes equations and continuity equation supplemented by appropriate boundary and initial conditions. To solve this system of equations the finite difference method with a staggered grid is used. The results of computations obtained using authorial computer program are compared with ANSYS Fluent simulation. Computations are carried out for obstacles of various sizes and positions, and on this basis the conclusions are formulated.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 2; 121-132
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniform stabilization of the quasi-linear Kirchhoff wave equation with a nonlinear boundary feedback
Autorzy:
Lasiecka, I.
Powiązania:
https://bibliotekanauki.pl/articles/206039.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
quasi-liniowe równanie falowe Kirchhoffa
a priori bounds
global existence
nonlinear damping
quasilinear Kirchhoff wave equation
uniform decay rates
Opis:
An n-dimensional quasi-linear wave equation defined on bounded domain Omega with Neumann boundary conditions imposed on the boundary Gamma and with a nonlinear boundary feedback acting on a portion of the boundary [Gamma sup 1 is a subset of Gamma] is considered. Global existence, uniqueness and uniform decay rates are established for the model, under the assumption that the H[sup 1](Omega) x L[sub 2](Omega) norms of the initial data are sufficiently small. The result presented in this paper extends these obtained recently in Lasiecka and Ong (1999), where the Dirichlet boundary conditions are imposed on the uncontrolled portion of the boundary Gamma[sub o] = Gamma \ [closure of a set Gamma sub 1], and the two portions of the boundary are assumed disjoint, i.e. [... ]. The goal of this paper is to remove this restriction. This is achieved by considering the "pure" Neumann problem subject to convexity assumption imposed on Gamma[sub o]. \@eng\\
Źródło:
Control and Cybernetics; 2000, 29, 1; 179-197
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytic-numerical model of a convective boundary layer and heat transfer on a horizontal cone
Autorzy:
Leble, S.
Pelc, W.
Powiązania:
https://bibliotekanauki.pl/articles/1943220.pdf
Data publikacji:
2009
Wydawca:
Politechnika Gdańska
Tematy:
natural convection
Fourier-Kirchhoff equations
boundary layer equation
isothermal cone
matching of Frobenius expansions
Opis:
An approximate analytical solution of a two dimensional problem for stationary Navier-Stokes, continuity and Fourier-Kirchhoff equations describing a free convective heat transfer from an isothermal cone is presented. The problem formulation is based on assumptions typical for natural convection: non-compressibility and the Boussinesq approximation. The solution is based on Frobenius expansions at the vicinities of two points: the initial point and the singular point of the boundary layer equation. Numerical matching of the expansions and Nusselt number evaluations are traced.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2009, 13, 1-2; 133-144
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lossless transmission lines terminated by crystal oscillator circuit
Autorzy:
Angelov, Vasil G.
Powiązania:
https://bibliotekanauki.pl/articles/1065397.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Fixed point theorem
Kirchhoff’s law
Lossless transmission line
Mixed problem for hyperbolic system
Neutral equation
Periodic solution
Opis:
The present paper deals with ТЕМ propagation of waves along lossless transmission lines terminated by a crystal oscillator circuit. The crystal oscillator circuit generates nonlinear boundary conditions derived by the Kirchhoff’s law. Then the mixed problem for the hyperbolic transmission line system to an initial value problem for neutral system on the boundary is reduced. The main purpose of the present paper is to show an existence-uniqueness of a periodic solution of the neutral system. This is achieved by introducing a suitable operator acting on a space of periodic functions. Its fixed point is a periodic solution of the neutral system. The advantages of the presented method on numerical example are demonstrated. The solution can be obtained by successive approximations.
Źródło:
World Scientific News; 2019, 132; 65-83
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-8 z 8

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