Results 21 to 30 of about 1,325,975 (331)
Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face [PDF]
, 2018 Recently it was obtained in [Tarzia, Thermal Sci. 21A (2017) 1-11] for the classical two-phase Lam\'e-Clapeyron-Stefan problem an equivalence between the temperature and convective boundary conditions at the fixed face under a certain restriction ...
Bollati, Julieta, Tarzia, Domingo A.
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A free boundary problem for an attraction–repulsion chemotaxis system
Boundary Value Problems, 2018 In this paper we study an attraction–repulsion chemotaxis system with a free boundary in one space dimension. First, under some conditions, we investigate existence, uniqueness and uniform estimates of the global solution.
Weiyi Zhang, Zuhan Liu, Ling Zhou
doaj +1 more source
Free boundary problems in biology [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 In this paper, I review several free boundary problems that arise in the mathematical modelling of biological processes. The biological topics are quite diverse: cancer, wound healing, biofilms, granulomas and atherosclerosis. For each of these topics, I describe the biological background and the mathematical model, and then proceed to state ...
openaire +3 more sources
Open 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
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, 2017 We show local existence and uniqueness of plasma(fluid)-vaccum free boundary problem of magnetohydrodynamic flow in three-dimensional space with infinite depth setting when magnetic field is zero on the free boundary.
Lee, Donghyun
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Free boundary value problem for compressible magnetohydrodynamic equations
Electronic 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 parabolic free boundary problem with Bernoulli type condition on the free boundary [PDF]
, 2006 Consider the parabolic free boundary problem $$ \Delta u - \partial_t u = 0 \textrm{in} \{u>0\}, |\nabla u|=1 \textrm{on} \partial\{u>0\} . $$ For a realistic class of solutions, containing for example {\em all} limits of the singular perturbation ...
Georg +6 more
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Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source
On the measure and the structure of the free boundary of the lower dimensional obstacle problem
, 2017 We provide a thorough description of the free boundary for the lower dimensional obstacle problem in $\mathbb{R}^{n+1}$ up to sets of null $\mathcal{H}^{n-1}$ measure.
Focardi, Matteo, Spadaro, Emanuele
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Molecular Oncology, EarlyView.We show that the majority of the 18 analyzed recurrent cancer‐associated ERBB4 mutations are transforming. The most potent mutations are activating, co‐operate with other ERBB receptors, and are sensitive to pan‐ERBB inhibitors. Activating ERBB4 mutations also promote therapy resistance in EGFR‐mutant lung cancer.
Veera K. Ojala +15 more
wiley +1 more source