Results 101 to 110 of about 634,419 (341)
On weak-strong uniqueness for the compressible Navier-Stokes system with non-monotone pressure law [PDF]
arXiv, 2018 We show the weak-strong uniqueness property for the compressible Navier-Stokes system with general non-monotone pressure law. A weak solution coincides with the strong solution emanating from the same initial data as long as the latter solution exists.
arxiv
Molecular Oncology, EarlyView.This article advocates integrating temporal dynamics into cancer research. Rather than relying on static snapshots, researchers should increasingly consider adopting dynamic methods—such as live imaging, temporal omics, and liquid biopsies—to track how tumors evolve over time.
Gautier Follain +3 more
wiley +1 more source
Existence and blow up for viscoelastic hyperbolic equations with variable exponents
Communications in Analysis and MechanicsIn this article, we consider a nonlinear viscoelastic hyperbolic problem with variable exponents. By using the Faedo$ - $Galerkin method and the contraction mapping principle, we obtain the existence of weak solutions under suitable assumptions on the ...
Ying Chu, Bo Wen, Libo Cheng
doaj +1 more source
Local Elliptic Regularity for the Dirichlet Fractional Laplacian
Advanced Nonlinear Studies, 2017 We prove the Wloc2s,p${W_{{\mathrm{loc}}}^{2s,p}}$ local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian on an arbitrary bounded open set of ℝN${\mathbb{R}^{N}}$. The key tool consists in analyzing
Biccari Umberto +2 more
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Realizing a weak solution on a probability space
Stochastic Processes and their Applications, 1978 AbstractLet T:(X,X)→(Y,Y) be a Borel application, v a given probability on Y, and μ a weak solution of the stochastic equation μT-1=v. With (Ω,F,P) a probability space, and w:Ω→Y a r.v. such that Pw-1=v, it is of interest to know when there is a r.v.x:Ω→X such that Px-1=μ and Tx=w a.s. |P|. Such a r.v.
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FEBS Open Bio, EarlyView.Novel mAbs could detect cancer‐associated membrane proteins on various type of pancreatic ductal adenocarcinomas (PDAC) by flow cytometry with viable PDAC cells and by immunohistochemistry with PDAC tissues. Results of protein expression were substantiated by mRNA expression by The Cancer Genome Atlas.
Takashi Nakano +16 more
wiley +1 more source
On the Weak Solutions to Mixed Navier-Stokes-Darcy Model [PDF]
arXiv, 2016 In this paper, an a priori estimate of weak solutions to the mixed Navier-Stokes/Darcy model with Beavers-Joseph-Saffman's interface condition and the existence of a weak solution are established without the small data and/or the large viscosity restriction for the first time.
arxiv
On the regularity of weak solutions to $H$-systems
Rendiconti Lincei, Matematica e Applicazioni, 2007 In this paper we prove that every weak solution to the H -surface equation is locally bounded, provided the prescribed mean curvature H satisfies a suitable condition at infinity. No smoothness assumption is required on
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HDAC4 regulates apoptosis in Acan‐CreERT2;HDAC4d/d mice with osteoarthritis by downregulating ATF4
FEBS Open Bio, EarlyView.Using the AcanCreERT2;HDAC4fl/fl genetic mouse model, we further investigated the role of histone deacetylase 4 (HDAC4) in chondrocyte apoptosis. We found that knocking down HDAC4 may be associated with chondrocyte apoptosis by upregulating the activating transcription factor 4 (ATF4)/CAAT/enhancer binding protein homologous (CHOP) signaling pathway ...
Jingrui Huang +11 more
wiley +1 more source
Characterization of Polyelectrolyte Solutions. II. Separation of Strong and Weak Acids by means of Ion Exclusion. [PDF]
, 1957 Nils Hartler +4 more
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