Results 271 to 280 of about 183,010 (330)
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Nonlinear Analysis: Theory, Methods & Applications, 1997
It is well known that the radiative heat flux is a function of temperature. In certain radiative heat transfer it is of interest to devise methods for evaluating radiation function by using only measurements taken outside the medium. This paper seeks to determine some unknown radiation functions those depend only on the heat flux in a radiative heat ...
Shidfar, Abdullah, Azary, Hossein
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It is well known that the radiative heat flux is a function of temperature. In certain radiative heat transfer it is of interest to devise methods for evaluating radiation function by using only measurements taken outside the medium. This paper seeks to determine some unknown radiation functions those depend only on the heat flux in a radiative heat ...
Shidfar, Abdullah, Azary, Hossein
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1998
Click on the DOI link to access the article (may not be free). ; In this chapter, we consider the second-order parabolic equation (9.0.1) a0∂tu − div(a∇u) + b · ∇u + cu = f in Q = Ω × (0, T), where Ω is a bounded domain the space Rn with the C2-smooth boundary ∂Ω.
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Click on the DOI link to access the article (may not be free). ; In this chapter, we consider the second-order parabolic equation (9.0.1) a0∂tu − div(a∇u) + b · ∇u + cu = f in Q = Ω × (0, T), where Ω is a bounded domain the space Rn with the C2-smooth boundary ∂Ω.
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2018
A generic non-linear parabolic model which includes both Richards’ model describing the flow of water in a heterogeneous anisotropic underground medium, and Stefan’s model which arises in the study of a simplified heat diffusion in a melting medium.
Jérôme Droniou +4 more
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A generic non-linear parabolic model which includes both Richards’ model describing the flow of water in a heterogeneous anisotropic underground medium, and Stefan’s model which arises in the study of a simplified heat diffusion in a melting medium.
Jérôme Droniou +4 more
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Nonlocal Parabolic Problem with Degeneration
Ukrainian Mathematical Journal, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isaryuk, I. M., Pukal's'kyi, I. D.
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2003
In this Chapter we study some pilot models of parabolic variational and hemivariational inequalities. The Chapter is primarily based on the works of Brezis [29], Goeleven and Motreanu [79], [91], Miettinen [125] and Quittner [156].
D. Goeleven, D. Motreanu
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In this Chapter we study some pilot models of parabolic variational and hemivariational inequalities. The Chapter is primarily based on the works of Brezis [29], Goeleven and Motreanu [79], [91], Miettinen [125] and Quittner [156].
D. Goeleven, D. Motreanu
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Some overdetermined parabolic problems
Mathematical Methods in the Applied Sciences, 1999The paper considers two classes of overdetermined initial boundary value problems of parabolic type. Let \(\Omega\) be a bounded domain \(\mathbb{R}^N\) with a \(C^{2+\varepsilon}\) boundary \(\partial\Omega\). The following initial boundary value parabolic problem defined in \(\Omega\times (0,T)\) as \[ g \bigl(u,|\nabla u|^2u,_i\bigr),_i+f\bigl(u ...
Philippin, G. A., Safoui, A.
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The Parabolic Three-Body Problem
Celestial Mechanics and Dynamical Astronomy, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Transients — parabolic problems
1972(Linear and non-linear situations. Possible use to find steady state solution. Dynamic relaxation).
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Symmetrization in parabolic neumann problems
Applicable Analysis, 1991We consider the Cauchy-Neumann problem for parabolic operators of the kind: on a smooth cylinder [0,T]×Ω. By symmetrization techniques we establish for the solution u of this problem an estimate of the kind: where U is the solution of a symmetrized problem and u(t)*(·) is the decreasing rearrangement of u(t,.).
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2000
Let Ω be a Lipschitz bounded open subset of ℝ n with boundary Г. Denote by Г D some measurable subset of Г (for the measure dσ(x)) and by Г N the complement of Г D in Г — that is to say $$ {\Gamma_N} = \Omega \backslash {\Gamma_D} $$ (12.1) .
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Let Ω be a Lipschitz bounded open subset of ℝ n with boundary Г. Denote by Г D some measurable subset of Г (for the measure dσ(x)) and by Г N the complement of Г D in Г — that is to say $$ {\Gamma_N} = \Omega \backslash {\Gamma_D} $$ (12.1) .
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