Results 51 to 60 of about 2,847,525 (288)
The Lightning Method for the Heat Equation
Journal of Scientific ComputingAbstract This paper introduces a new method for solving the planar heat equation based on the lightning method. The lightning method is a recent development in the numerical solution of linear PDEs which expresses solutions using sums of polynomials and rational functions, or more generally as sums of fundamental solutions. The method
Hunter La Croix, Alan E. Lindsay
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Partial Differential Equation for Heat Conduction and Its Solvability
, 2010 This paper deals with the heat conduction equation which is a model of thermomechanical processes in the special case.
Ondrej Kovacik, Pavol Orsansky
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An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes
FEBS Letters, EarlyView.GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg +14 more
wiley +1 more source
Some optimal control problems of heat equations with weighted controls
Boundary Value Problems, 2017 In this paper, the time and norm optimal control problems of controlled heat equations with a weight function are considered. For the time optimal problems, we study the following two cases: one is for equations with multi-domain control under null ...
Shufang Liu, Dandan Liu, Guoqi Wang
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Semilinear heat equation with singular terms
Electronic Journal of Qualitative Theory of Differential Equations, 2022 The main goal of this paper is to analyze the existence and nonexistence as well as the regularity of positive solutions for the following initial parabolic problem $$ \begin{cases} \partial_tu-\Delta u=\displaystyle\mu\frac{u}{|x|^{2}}+\frac{f}{u ...
Mohamed Mahmoud Ould Khatri +1 more
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Tracking Controllability for the Heat Equation
IEEE Transactions on Automatic ControlWe study the tracking or sidewise controllability of the heat equation. More precisely, we seek for controls that, acting on part of the boundary of the domain where the heat process evolves, aim to assure that the normal trace or flux on the complementary set tracks a given trajectory. The dual equivalent observability problem is identified.
Jon Asier Bárcena-Petisco +1 more
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Emerging experimental and computational methods for studying redox‐regulated structural transitions
FEBS Letters, EarlyView.Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass +2 more
wiley +1 more source
, 2016 In this chapter we will discuss the derivation of the heat equation and develop some basic properties, our first example of a PDE of parabolic type.
Hervé Le Dret, Brigitte Lucquin
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FEBS Letters, EarlyView.Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell +2 more
wiley +1 more source
MathematicsIn this paper, two-dimensional (2D) heat equations on disjoint rectangles are considered. The solutions are connected by interface Robin’s-type internal conditions.
Miglena N. Koleva, Lubin G. Vulkov
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