Results 41 to 50 of about 1,969,022 (331)
Local porosity of the free boundary in a minimum problem
Electronic Research Archive, 2023 Given certain set $ \mathcal{K} $ and functions $ q $ and $ h $, we study geometric properties of the set $ \partial\{x\in\Omega:u(x) > 0\} $ for non-negative minimizers of the functional $ \mathcal{J} (u) = \int_{\Omega }^{} \, \left(\frac{1}{p ...
Yuwei Hu, Jun Zheng
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Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
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Remarks on analytical solutions to compressible Navier–Stokes equations with free boundaries
Advanced Nonlinear StudiesIn this paper, we consider the free boundary problem of the radially symmetric compressible Navier–Stokes equations with viscosity coefficients of the form μ(ρ) = ρ θ, λ(ρ) = (θ − 1)ρ θ in RN ${\mathbb{R}}^{N}$ .
Dong Jianwei, Yuen Manwai
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Asymptotic Behavior for Radially Symmetric Solutions of a Logistic Equation with a Free Boundary
Mathematical Modelling and Analysis, 2017 In this paper we investigate a logistic equation with a new free boundary condition appearing in ecology, we aim to describe the spreading of a new or invasive species by studying the asymptotic behavior of the radially symmetric solutions of the problem.
Jingjing Cai, Quanjun Wu
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FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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MathematicsIn this paper, we have undertaken the challenging and novel task of establishing the existence of weak solutions for four types of hyperbolic Kirchhoff-type problems: the classical hyperbolic Kirchhoff problem, the problem with a free boundary, the ...
Fatima Ezahra Bentata +3 more
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A free boundary focusing problem [PDF]
Proceedings of the American Mathematical Society, 1994 We consider a one-dimensional free boundary problem arising in combustion theory and establish that all solutions are asymptotically equal to a similarity solution which vanishes in a finite time.
Hilhorst, Danielle, Hulshof, Josephus
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
FEBS Letters, EarlyView.Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
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Numerical implementation of the one-dimensional microscopic model of in-situ leaching
Вестник КазНУ. Серия математика, механика, информатика, 2017 This publication is devoted to the numerical implementation of the mathematical model on a microscopic level of in-situ leaching process in the case of one space variable.
А. С. Жумали
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On Computation of Prefactor of Free Boundary in One Dimensional One-Phase Fractional Stefan Problems
Fractal and FractionalWe consider the melting of a one-dimensional domain (x≥0), initially at the melting temperature u=0, by fixing the boundary temperature to a value u(0,t)=U0>0—the so called Stefan melting problem. The governing transient heat-conduction equation involves
Nahuel Caruso +3 more
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