Théorie analytique de la chaleur

By J. Fourier. 2009

Discours Preliminaire 1. Introduction 2. Equations du mouvement de la chaleur 3. Propagation de la chaleur dans un solide rectangulaire infini 4. Du mouvement lineaire et varie de la chaleur dans une armille 5. De la propagation de la chaleur dans une sphere solide 6. Du mouvement de la chaleur dans un cylinder solide 7. Propagation de la chaleur dans un prisme rectangulaire 8. Du movement de la chaleur dans un cube solide 9. De la diffusion de la chaleur.

Subfields: Pure Mathematics

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In Pure Mathematics

1. Rudolf Hilfer
2. Detlef Lohse
3. G. Ahlers
4. S. Grossmann

Citations in the corpus

• Threefold Introduction to Fractional Derivatives (2008, background): “[29.3.3] The equation cannot be extended directly to α ≥ 1 because the Fourier integral on the left hand side may not exist.”
• Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection (2008, methodology): “The problem is further simplified by the so-called Oberbeck-Boussinesq (OB) approximation (Boussinesq (1903), Landau and Lifshitz (1987), Oberbeck (1879)) in which the fluid density ρ is assumed to depend linearly on the temperature, ρ(T ) = ρ(T0)(1 − β(T − T0)), (1) with β being the thermal…”
• A brief introduction to pseudospectral methods : application to diffusion problems (2016, unknown): “The use of trigonometric bases such as (2.3) or {ei kπx}k∈Z for heat conduction problems has been initiated by J. Fourier‡ (1822) [12] even if Fourier series have been ∗Carl David Tolmé Runge (1856 – 1927) is a German Mathematician and Physicist.”