Results 231 to 240 of about 138,361,326 (265)
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Results in Mathematics, 2019
The paper deals with the existence of solutions to a system of Navier-Stokes type with boundary conditions in the form of hemivariational inequalities.
Suliman Al-Homidan +2 more
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The paper deals with the existence of solutions to a system of Navier-Stokes type with boundary conditions in the form of hemivariational inequalities.
Suliman Al-Homidan +2 more
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Journal of Engineering Physics and Thermophysics, 1992
A numerical method is suggested for defining mathematical expectation fields and the variance of a stochastic temperature field which is described in the stationary case by a stochastic heat conduction equation and boundary conditions with random coefficients.
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A numerical method is suggested for defining mathematical expectation fields and the variance of a stochastic temperature field which is described in the stationary case by a stochastic heat conduction equation and boundary conditions with random coefficients.
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Materials Science, 1999
Similarity transformations are constructed and used to obtain an exact solution of the axially symmetric boundary-value problem of static thermoelasticity for a half space whose free surface is heated by a continuous point heat source. It is shown that this solution agrees with the solution obtained earlier by the method of thermoelastic potentials.
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Similarity transformations are constructed and used to obtain an exact solution of the axially symmetric boundary-value problem of static thermoelasticity for a half space whose free surface is heated by a continuous point heat source. It is shown that this solution agrees with the solution obtained earlier by the method of thermoelastic potentials.
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Physics of Fluids, 1996
It is shown analytically and numerically on the basis of the kinetic theory that the heat-conduction equation is not suitable for describing the temperature field of a gas in the continuum limit around bodies at rest in a closed domain or in an infinite domain without flow at infinity, where the flow vanishes in this limit.
Sone, Yoshio +4 more
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It is shown analytically and numerically on the basis of the kinetic theory that the heat-conduction equation is not suitable for describing the temperature field of a gas in the continuum limit around bodies at rest in a closed domain or in an infinite domain without flow at infinity, where the flow vanishes in this limit.
Sone, Yoshio +4 more
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Izvestiya: Mathematics, 2014
We consider a boundary-value problem describing the stationary motion of a two-component mixture of viscous compressible heat-conducting fluids in a bounded domain. We make no simplifying assumptions except for postulating the coincidence of phase temperatures (which is physically justified in certain situations), that is, we retain all summands in ...
A E Mamontov, D A Prokudin
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We consider a boundary-value problem describing the stationary motion of a two-component mixture of viscous compressible heat-conducting fluids in a bounded domain. We make no simplifying assumptions except for postulating the coincidence of phase temperatures (which is physically justified in certain situations), that is, we retain all summands in ...
A E Mamontov, D A Prokudin
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Inverse Problems in Science and Engineering, 2010
This article presents a solution of stationary direct and inverse problems (Cauchy problem) of cooling a circular ring with the modified method of elementary balances. The idea of the method itself relies on the division of the considered range into elements and interpolation of the solution within the elements with the help of linear combination of ...
Agnieszka Wróblewska +3 more
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This article presents a solution of stationary direct and inverse problems (Cauchy problem) of cooling a circular ring with the modified method of elementary balances. The idea of the method itself relies on the division of the considered range into elements and interpolation of the solution within the elements with the help of linear combination of ...
Agnieszka Wróblewska +3 more
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Mathematical Methods in the Applied Sciences, 2006
This paper is concerned with the equations of non-stationary motion in 3D of heat-conducting incompressible viscous fluids with temperature-dependent viscosity. The conservation of internal energy includes the usual dissipation term. We prove the existence of a ‘weak solution with defect measure’ to the system of PDEs under consideration. Our method of
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This paper is concerned with the equations of non-stationary motion in 3D of heat-conducting incompressible viscous fluids with temperature-dependent viscosity. The conservation of internal energy includes the usual dissipation term. We prove the existence of a ‘weak solution with defect measure’ to the system of PDEs under consideration. Our method of
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Journal of Mathematical Sciences, 2018
By using the N th order approximation of temperature function and its first derivative by Legendre polynomials, we construct the solution of problem of heat conduction for a thin-walled shallow isotropic shell and deduce the system of resolving equations for the N th approximation.
K. M. Dovbnya, O. D. Dundar
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By using the N th order approximation of temperature function and its first derivative by Legendre polynomials, we construct the solution of problem of heat conduction for a thin-walled shallow isotropic shell and deduce the system of resolving equations for the N th approximation.
K. M. Dovbnya, O. D. Dundar
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Journal of Applied and Industrial Mathematics, 2015
Summary: Under study is some boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting liquid considered together with the Dirichlet condition for the velocity and mixed boundary conditions for the electromagnetic field and temperature.
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Summary: Under study is some boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting liquid considered together with the Dirichlet condition for the velocity and mixed boundary conditions for the electromagnetic field and temperature.
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Дифференциальные уравнения / Differential Equations
The global solvability and local uniqueness of boundary value problem’s solutions for stationary magnetic hydrodynamic equations for heat conducting fluid with variable coefficients are proved. Maximum and minimum principle for the temperature is established.
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The global solvability and local uniqueness of boundary value problem’s solutions for stationary magnetic hydrodynamic equations for heat conducting fluid with variable coefficients are proved. Maximum and minimum principle for the temperature is established.
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