Thermodynamic derivation of the heat conduction equation and the dynamic boundary value problem for thermoelastic materials and fluids

A. K. Belyaev; V. A. Palmov

doi:10.1007/bf01170393

Thermodynamic derivation of the heat conduction equation and the dynamic boundary value problem for thermoelastic materials and fluids

Acta Mechanica ◽

10.1007/bf01170393 ◽

1996 ◽

Vol 114 (1-4) ◽

pp. 27-37 ◽

Cited By ~ 1

Author(s):

A. K. Belyaev ◽

V. A. Palmov

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Dynamic Boundary ◽

Thermodynamic Derivation

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Thermodynamic derivation of dynamic boundary value problem and heat conduction equation for polarised thermoelastic materials

Acta Mechanica ◽

10.1007/bf01175985 ◽

2000 ◽

Vol 140 (1-2) ◽

pp. 119-129 ◽

Cited By ~ 1

Author(s):

A. K. Belyaev

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Dynamic Boundary ◽

Thermodynamic Derivation

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Thermodynamic rationale for heat conduction equation and dynamic boundary value problem for piezothermoelastic materials

10.1117/12.350119 ◽

1999 ◽

Author(s):

Alexander K. Belyaev

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Dynamic Boundary

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A Study of an Inverse Boundary Value Problem for the Heat Conduction Equation

Numerical Analysis and Applications ◽

10.1134/s1995423919010063 ◽

2019 ◽

Vol 12 (1) ◽

pp. 70-86 ◽

Cited By ~ 1

Author(s):

A. I. Sidikova

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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A boundary-value problem for a nonlinear heat-conduction equation

Journal of Applied Mechanics and Technical Physics ◽

10.1007/bf00915177 ◽

1971 ◽

Vol 8 (5) ◽

pp. 31-36

Author(s):

K. G. Valeev ◽

Yu. V. Rakitskii

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Solution of a three-dimensional boundary-value problem for a fractional differential heat conduction equation

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0569-2 ◽

2011 ◽

Vol 178 (5) ◽

pp. 557-563

Author(s):

L. A. Fil’shtinskii ◽

T. V. Mukomel ◽

T. A. Kirichok

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Three Dimensional ◽

Conduction Equation ◽

Differential Heat ◽

Dimensional Boundary ◽

Fractional Differential

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The solution of the third boundary value problem for the two-dimensional heat conduction equation in an arbitrary region by a locally one-dimensional method

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(66)90136-4 ◽

1966 ◽

Vol 6 (3) ◽

pp. 103-125 ◽

Cited By ~ 2

Author(s):

I.V. Fryazinov

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Two Dimensional ◽

Arbitrary Region ◽

One Dimensional ◽

The Third ◽

Third Boundary Value Problem

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On the non-uniqueness of solution to the homogeneous boundary value problem for the heat conduction equation in an angular domain

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS ◽

10.31489/2016m4/80-87 ◽

2016 ◽

Vol 84 (4) ◽

pp. 80-87

Author(s):

M.T. Kosmakova ◽

◽

M.I. Ramazanov ◽

A.S. Tokesheva ◽

A.A. Khairkulova ◽

...

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Uniqueness Of Solution ◽

Angular Domain

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Asymptotic representation of the solution of the first boundary-value problem for the heat-conduction equation with a moving boundary

Journal of Engineering Physics ◽

10.1007/bf00861740 ◽

1975 ◽

Vol 29 (2) ◽

pp. 1072-1076

Author(s):

A. P. Doroshenko

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Asymptotic Representation ◽

Heat Conduction Equation ◽

Moving Boundary ◽

Boundary Value ◽

Conduction Equation

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Solving of an Inverse Boundary Value Problem for the Heat Conduction Equation by Using Lavrentiev Regularization Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1715/1/012032 ◽

2021 ◽

Vol 1715 ◽

pp. 012032

Author(s):

H K Al-Mahdawi

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Regularization Method ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Lavrentiev Regularization ◽

Lavrentiev Regularization Method

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On the initial jump of the free boundary in a boundary-value problem for the semilinear heat conduction equation with absorption

Russian Mathematical Surveys ◽

10.1070/rm1997v052n06abeh002168 ◽

1997 ◽

Vol 52 (6) ◽

pp. 1300-1301 ◽

Cited By ~ 2

Author(s):

A S Kalashnikov

Keyword(s):

Heat Conduction ◽

Free Boundary ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Initial Jump

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