Results 21 to 30 of about 89,092 (266)

Multidimensional transonic shock waves and free boundary problems

open access: yesBulletin of Mathematical Sciences, 2022
We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
doaj   +1 more source

Small Motions of an Ideal Stratified Fluid in a Basin Covered with Ice

open access: yesСовременная математика: Фундаментальные направления, 2018
We study the problem on small motions of an ideal stratified fluid with a free surface partially covered with crushed ice. The crushed ice is supposed to be ponderable particles of some matter floating on the free surface.
N D Kopachevsky, D O Tsvetkov
doaj   +1 more source

A Free Boundary Problem for the Predator–Prey Model with Double Free Boundaries [PDF]

open access: yesJournal of Dynamics and Differential Equations, 2015
25 ...
Wang, Mingxin, Zhao, Jingfu
openaire   +3 more sources

Free boundary value problem for compressible magnetohydrodynamic equations

open access: yesElectronic Journal of Differential Equations, 2020
In this article we consider a free boundary value problem for barotropic compressible magnetohydrodynamic equations with density-dependent viscosity coefficients.
Huihui Kong, Ruxu Lian
doaj  

A free boundary problem for the -Laplacian [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2010
We consider the optimization problem of minimizing $\int_Ω|\nabla u|^{p(x)}+ λχ_{\{u>0\}} dx$ in the class of functions $W^{1,p(\cdot)}(Ω)$ with $u-ϕ_0\in W_0^{1,p(\cdot)}(Ω)$, for a given $ϕ_0\geq 0$ and bounded. $W^{1,p(\cdot)}(Ω)$ is the class of weakly differentiable functions with $\int_Ω|\nabla u|^{p(x)} dx0\}$, is a regular surface.
Fernandez Bonder, Julian   +2 more
openaire   +4 more sources

On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

open access: yesOpen Mathematics, 2015
We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained.
Semerdjieva Rossitza
doaj   +1 more source

The therapeutic opportunities and pitfalls of using iron ion chelators to treat neurodegenerative diseases

open access: yesFEBS Letters, EarlyView.
Although too much iron in the brain promotes neurodegeneration, iron ion chelators have had mixed effects in clinical trials. This review explains why; some chelators do not render the iron redox‐inactive (e.g., L1) whereas others do (e.g., desferrioxamine).
Barry Halliwell
wiley   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

open access: yesMolecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur   +11 more
wiley   +1 more source

Single‐cell DNA methylation profiling: Technologies, computation, and applications in precision oncology

open access: yesMolecular Oncology, EarlyView.
Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley   +1 more source

Spatial biology in cancer epigenetics

open access: yesMolecular Oncology, EarlyView.
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley   +1 more source

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