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Reports on Mathematical Physics, 1997
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2020
Manipulating thermal conductivities are fundamentally important for controlling the conduction of heat at will. Thermal cloaks and concentrators, which have been extensively studied recently, are actually graded materials designed according to coordinate transformation approaches, and their effective thermal conductivity can be seen to equal that of ...
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Manipulating thermal conductivities are fundamentally important for controlling the conduction of heat at will. Thermal cloaks and concentrators, which have been extensively studied recently, are actually graded materials designed according to coordinate transformation approaches, and their effective thermal conductivity can be seen to equal that of ...
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1998
This chapter is devoted to the equation $$\frac{{\partial u}}{{\partial t}}\left( {x,t} \right) - {\omega ^2}\Delta u\left( {x,t} \right) = f\left( {x,t} \right),x \in \Omega \subset {R^n},t \in \left( {0,T} \right)$$ where Δ is the Laplace operator with respect to the spatial variable x and t is the time variable.
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This chapter is devoted to the equation $$\frac{{\partial u}}{{\partial t}}\left( {x,t} \right) - {\omega ^2}\Delta u\left( {x,t} \right) = f\left( {x,t} \right),x \in \Omega \subset {R^n},t \in \left( {0,T} \right)$$ where Δ is the Laplace operator with respect to the spatial variable x and t is the time variable.
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1995
Consider a material homogeneous body occupying a region Ω ⊂ R N .We assume that ∂Ω is of class C 1 and let n denote its outward unit normal. We identify the body with Ω and let k > 0 be its dimensionless conductivity.
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Consider a material homogeneous body occupying a region Ω ⊂ R N .We assume that ∂Ω is of class C 1 and let n denote its outward unit normal. We identify the body with Ω and let k > 0 be its dimensionless conductivity.
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Transforming heat transfer with thermal metamaterials and devices
Nature Reviews Materials, 2021Ying Li, Wei Li, Tiancheng Han
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Photothermal Nanomaterials: A Powerful Light-to-Heat Converter
Chemical Reviews, 2023Ximin Cui, Qifeng Ruan, Xiaolu Zhuo
exaly
1986
The most frequently encountered equation of parabolic type is the heat or diffusion equation, which is the subject of this chapter. Our setting is again a region in En, but in addition a new variable t, which may be thought of as time, also appears. Consequently the type of problem to be studied is not a boundary value problem, as it was with Laplace’s
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The most frequently encountered equation of parabolic type is the heat or diffusion equation, which is the subject of this chapter. Our setting is again a region in En, but in addition a new variable t, which may be thought of as time, also appears. Consequently the type of problem to be studied is not a boundary value problem, as it was with Laplace’s
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