Article
Licensed
Unlicensed
Requires Authentication
The Existence and Uniqueness of Solution of One Coupled Plate Thermomechanics Problem
-
V. A. Krysko
Published/Copyright:
June 7, 2010
Abstract
The thermo-elastic plate system of equations is analysed. The sufficient conditions of existence, uniqueness and continuity dependence on initial data of the Cauchy problem solutions for differential-operational equation of mixed type (a part of the equation of hyperbolic type, and a part of parabolic type) are given in this paper. If the operational coefficients are suitably chosen, the investigated equation can be used to obtain a differential equation describing vibrations of a plate — the modified Germain-Lagrange equation of hyperbolic type. Moreover, in order to define the temperature field, one can use a three-dimensional equation of thermal conductivity (a parabolic equation).
Key words and phrases.: Thermo-elastic plate; hyperbolic and parabolic equations; vibrations; commutativity
Received: 2000-08-25
Revised: 2002-02-04
Published Online: 2010-06-07
Published in Print: 2002-June
© Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- The Infinite Dimensional Henstock Integral and Problems of Black-Scholes Expectation
- An Explicit Formula for Solutions of Some System of Linear Delay Difference Equations
- Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces
- Results on Singular Distribution Products of Mikusiński Type
- A Quasistatic Contact Problem with Slip Dependent Coefficient of Friction for Elastic Materials
- Linear Fredholm Integral Equations and the Integral of Kurzweil
- On Trigonometric-Like Decompositions of Functions with Respect to the Cyclic Group of Order n
- The Existence and Uniqueness of Solution of One Coupled Plate Thermomechanics Problem
- On the Stationary Flow of the Power Law Fluid in 2D
Keywords for this article
Thermo-elastic plate;
hyperbolic and parabolic equations;
vibrations;
commutativity
Articles in the same Issue
- The Infinite Dimensional Henstock Integral and Problems of Black-Scholes Expectation
- An Explicit Formula for Solutions of Some System of Linear Delay Difference Equations
- Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces
- Results on Singular Distribution Products of Mikusiński Type
- A Quasistatic Contact Problem with Slip Dependent Coefficient of Friction for Elastic Materials
- Linear Fredholm Integral Equations and the Integral of Kurzweil
- On Trigonometric-Like Decompositions of Functions with Respect to the Cyclic Group of Order n
- The Existence and Uniqueness of Solution of One Coupled Plate Thermomechanics Problem
- On the Stationary Flow of the Power Law Fluid in 2D
