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A Priori Regularity of Parabolic Partial Differential Equations
2018In this thesis, we consider parabolic partial differential equations such as the heat equation, the Fokker-Planck equation, and the porous media equation. Our aim is to develop methods that provide a priori estimates for solutions with singular initial data. These estimates are obtained by understanding the time decay of norms of solutions.
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Hydrothermal analysis for a parabolic solar unit with wavy absorber pipe and nanofluid
Renewable Energy, 2022Zafar Said, Mehrdad Jafaryar
exaly
Higher order difference formulas for a fourth order parabolic partial differential equation
, 1976M. K. Jain, S. Iyengar, A. G. Lone
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Inverse Problems for Parabolic Partial Differential Equations
1986A simple strategy for dealing with “small” inverse problems is proposed. A keypoint of this strategy is the treatment of the direct problem in the weak setting, employing the strategy of judicious choosing of test functions in order to extract detailed information regarding the properties of the weak solution.
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Parabolic Partial Differential Equations
2009Pavel B. Bochev, Max D. Gunzburger
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Sextic spline solution for solving a fourth-order parabolic partial differential equation
International Journal of Computational Mathematics, 2005Arshad Khan, I. Khan, T. Aziz
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