Results 51 to 60 of about 3,919,417 (298)
Qualitative Analysis of a Control-Volume Fibre Coating Model
Journal of Optimization, Differential Equations and Their ApplicationsThis paper presents qualitative analysis of the solutions to a control-volume model for liquid films flowing down a vertical fibre. Time evolution of the free surface is governed by a coupled system of degenerate nonlinear partial differential equations,
R. M. Taranets, M. Chugunova
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Mathematics, 2020 The paper deals with the existence of at least two non zero weak solutions to a new class of impulsive fractional boundary value problems via Brezis and Nirenberg’s Linking Theorem. Finally, an example is presented to illustrate our results.
Asma Alharbi +2 more
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FEBS Letters, EarlyView.The process of internalization of the Shiga toxin A subunit via formation of a complex with the Shiga toxin B subunit, which specifically binds to the Gb3 receptor. The peptide is designed to act as a carrier of drugs into cancer cells. Here, we explored the potential of peptides derived from the catalytic A subunit of Shiga toxin (STxA) to be drug ...
Giulia Opassi +6 more
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Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper we study the existence of solutions of the following nonlinear hyperbolic svstem|u″+A(t)u+b(x)G(u)=f in Qu=0 on Σu(0)=uο u1(0)=u1where Q is a noncylindrical domain of ℝn+1 with lateral boundary Σ, u−(u1,u2) a vector defined on Q, {
Tania Nunes Rabello
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Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects [PDF]
, 2014 In this paper, we consider a coupled PDE system describing phase separation and damage phenomena in elastically stressed alloys in the presence of inertial effects.
Kraus, Christiane, Heinemann, Christian
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Investigating transcription factor dynamics in health and disease using FRAP
FEBS Letters, EarlyView.FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
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The weak solutions to complex Hessian equations [PDF]
, 2023 In this paper, we shall study existence of weak solutions to complex Hessian equations.
Sun, Wei
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On Pacard's regularity for the equation $-Delta u = u^p$
Electronic Journal of Differential Equations, 2012 It is shown that the singular set for a positive solution of the PDE $-Delta u = u^p$ has Hausdorff dimension less than or equal to $n - 2p'$, as conjectured by Pacard [12 in 1993.
David R. Adams
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
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Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations [PDF]
Theoretical and Applied MechanicsIn this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid’s weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces.
Muhammad Jan
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