Solution of inverse problems for the quasilinear heat conduction equation in the self-similar mode for the multidimensional case

Journal of Engineering Physics ◽

10.1007/bf00872897 ◽

1991 ◽

Vol 61 (3) ◽

pp. 1157-1162

Author(s):

T. B. Gardashov

Keyword(s):

Heat Conduction ◽

Inverse Problems ◽

Heat Conduction Equation ◽

The Self ◽

Conduction Equation ◽

Multidimensional Case ◽

Similar Mode ◽

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Inverse problems for the heat-conduction equation in a domain with a moving boundary

Ukrainian Mathematical Journal ◽

10.1007/bf01089157 ◽

1976 ◽

Vol 27 (5) ◽

pp. 568-572 ◽

Author(s):

I. G. Malyshev

Keyword(s):

Heat Conduction ◽

Inverse Problems ◽

Heat Conduction Equation ◽

Moving Boundary ◽

Conduction Equation

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Group properties of the nonlinear heat-conduction equation and the solution of inverse problems

Journal of Engineering Physics ◽

10.1007/bf00861378 ◽

1976 ◽

Vol 30 (3) ◽

pp. 363-369

Author(s):

V. V. Frolov

Keyword(s):

Heat Conduction ◽

Inverse Problems ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Nonlinear Electron Heat Conduction Equation and Self-Similar Method for 1-D Thermal Waves in the Laser Heating of Solid Density DT Fuel

Numerical Heat Transfer Part A Applications ◽

10.1080/10407782.2012.724329 ◽

2012 ◽

Vol 63 (1) ◽

pp. 55-73 ◽

Author(s):

A. Mohammadian Pourtalari ◽

M. A. Jafarizadeh ◽

M. Ghoranneviss

Keyword(s):

Heat Conduction ◽

Laser Heating ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Thermal Waves ◽

Solid Density ◽

Electron Heat ◽

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Identifiability, in the large, of a nonlinear heat-conduction equation and self-similar solutions

Journal of Engineering Physics ◽

10.1007/bf00826480 ◽

1983 ◽

Vol 45 (2) ◽

pp. 944-949

Author(s):

M. R. Romanovskii

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation ◽

Self Similar ◽

Similar Solutions

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Representation of the solutions of certain filtration and heat-conduction problems as sums of particular self-similar solutions of the heat conduction equation

Fluid Dynamics ◽

10.1007/bf01029555 ◽

1972 ◽

Vol 3 (5) ◽

pp. 129-132

Author(s):

T. F. Ivanov

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Self Similar ◽

Similar Solutions

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Inverse problems for the heat-conduction equation with nonlocal boundary conditions

Ukrainian Mathematical Journal ◽

10.1007/bf01070965 ◽

1993 ◽

Vol 45 (8) ◽

pp. 1186-1192 ◽

Author(s):

N. I. Ivanchov

Keyword(s):

Heat Conduction ◽

Inverse Problems ◽

Boundary Conditions ◽

Heat Conduction Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Conduction Equation

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On the Properties of a Radially Symmetric Self-Similar Solution of a Nonlinear Heat Conduction Equation with a Source

Journal of Physics Conference Series ◽

10.1088/1742-6596/1789/1/012010 ◽

2021 ◽

Vol 1789 (1) ◽

pp. 012010

Author(s):

M M Aripov ◽

A SH Mukimov ◽

O Djabbarov

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Similar Solution ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Self Similar Solution ◽

Nonlinear Heat Conduction Equation ◽

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TRANSIENT RESPONSE OF A COMPOSITE HOLLOW CYLINDER HEATED BY A MOVING LINE SOURCE WITH HYPERBOLIC HEAT CONDUCTION EQUATION

Proceeding of International Heat Transfer Conference 8 ◽

10.1615/ihtc8.260 ◽

1986 ◽

Author(s):

H. S. Chu ◽

J. M. Chen ◽

J. H. Tzou

Keyword(s):

Heat Conduction ◽

Hollow Cylinder ◽

Transient Response ◽

Line Source ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Hyperbolic Heat Conduction ◽

Moving Line Source ◽

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A variational formulation applied to heat conduction equation

Bulletin de la Classe des sciences ◽

10.3406/barb.1970.61654 ◽

1970 ◽

Vol 56 (1) ◽

pp. 367-379

Author(s):

Enrico Lorenzini

Keyword(s):

Heat Conduction ◽

Variational Formulation ◽

Heat Conduction Equation ◽

Conduction Equation

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Numerical simulation of thermoelastic wave coupled with non-Fourier heat conduction equation

10.1063/5.0034042 ◽

2020 ◽

Author(s):

Masayuki Arai ◽

Iori Yamazaki

Keyword(s):

Numerical Simulation ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Thermoelastic Wave ◽

Fourier Heat Conduction

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