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A Lattice Boltzmann Thermal Model for Predicting Melt Pool Geometry in Selective Laser Melting of AlSi10Mg and 316L Stainless Steel. [PDF]

open access: yesMaterials (Basel)
Guzmán-Nogales R   +6 more
europepmc   +1 more source

Mathematical modeling of the frozen zone dynamics: Towards using thermal imagers in cryotherapy. [PDF]

open access: yesPLoS One
Ivakhnenko OV   +5 more
europepmc   +1 more source
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On Singular Heat Equation

Differential Equations, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shishkina, E. L., Yusupova, A. K.
openaire   +2 more sources

Morphisms of the Heat Equation

Annals of Global Analysis and Geometry, 1997
The author extends the Fuglede-Ishihara characterization of harmonic morphisms to maps \(f:M\times \mathbb{R}^+\to N\times \mathbb{R}^+\) that pull back local solutions of the heat equation on \(N\) to those of \(M\), as well as to maps \(f:M\times M\times \mathbb{R}^+\to N\times N\times \mathbb{R}^+\) that pull back the heat kernel of \(N\) to that of
openaire   +2 more sources

On Symmetries of the Heat Equation

Acta Applicandae Mathematicae, 1989
Two aims are pursued in this article. The first one is methodological and consists of demonstrating the symmetry calculation techniques based on the commutation relation on the example of the quasi-linear heat equation. The second one consists of investigating the following open question: is the algebra of higher symmetries of the linear heat equation ...
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On a Universality of the Heat Equation

Mathematische Nachrichten, 1997
AbstractWe prove that there are solutions u(t,x) of the heat equation ut = uxx such that every continuous function f : [a, b] → ℝ can be uniformly approximated by a subsequence of u (n, ·), nϵ ℕ.
openaire   +1 more source

The Heat Equation

2023
Svetlin G. Georgiev, Khaled Zennir
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The heat equation

1998
Abstract We establish here two kinds of results. First, we show that if g satisfies certain conditions for |x| large, then all solutions of (5.1)-(5.3) are global. Then, in another spirit, some results prove that if g satisfies certain conditions for |x| small, then the solutions of (5.1)-(5.3) with small initial data are global.
Thierry Cazenave   +2 more
openaire   +1 more source

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