Results 71 to 80 of about 1,564,798 (354)
On the Non-Newtonian Fluid Equation with a Source Term and a Damping Term
Journal of Function Spaces, 2018 A kind of non-Newtonian fluid equation with a damping term and a source term is considered. After giving a result of the existence, if the diffusion coefficient is degenerate on the boundary, the local stability of the weak solutions is established ...
Huashui Zhan, Yongping Li
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Initial-boundary value problem for the time-fractional degenerate diffusion equation
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper the initial-boundary value problems for the one-dimensional linear time-fractional diffusion equations with the time-fractional derivative ∂ α t of order α ∈ (0, 1) in the variable t and time-degenerate diffusive coefficients t β with β ≥ 1
A. G. Smadiyeva
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Molecular Oncology, EarlyView.This study investigated how PYCR1 inhibition in bone marrow stromal cells (BMSCs) indirectly affects multiple myeloma (MM) cell metabolism and viability. Culturing MM cells in conditioned medium from PYCR1‐silenced BMSCs impaired oxidative phosphorylation and increased sensitivity to bortezomib.
Inge Oudaert +13 more
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A practical criterion for positivity of transition densities [PDF]
, 2014 We establish a simple criterion for locating points where the transition density of a degenerate diffusion is strictly positive. Throughout, we assume that the diffusion satisfies a stochastic differential equation (SDE) on $\mathbf{R}^d$ with additive ...
Herzog, David P., Mattingly, Jonathan C.
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this article we introduce rather general notion of the stationary solution of the bistable equation which allows to treat discontinuous density dependent diffusion term with singularities and degenerations, as well as degenerate or non-Lipschitz ...
Pavel Drábek, Michaela Zahradnikova
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Ergodic control of degenerate diffusions [PDF]
Stochastic Analysis and Applications, 1997 We study the ergodic control problem of degenerate diffusions on RdUnder a certain Liapunov type stability condition we establish the existence of an optimal control. We then study the correponding HJB equation and establish the existence of a unique viscosity solution in a certain ...
Basak, GK, Borkar, VS, Ghosh, MK
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Molecular Oncology, EarlyView.Following high dose rate brachytherapy (HDR‐BT) for hepatocellular carcinoma (HCC), patients were classified as responders and nonresponders. Post‐therapy serum induced increased BrdU incorporation and Cyclin E expression of Huh7 and HepG2 cells in nonresponders, but decreased levels in responders.
Lukas Salvermoser +14 more
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Singular elliptic equations with directional diffusion
Mathematics in Engineering, 2021 We investigate conditions for the existence and uniqueness of viscosity solutions of the Dirichlet problem for a degenerate elliptic equation describing a stationary diffusion, which may take place in a partial number of spatial directions, with a ...
Antonio Vitolo
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Molecular Oncology, EarlyView.Adaptaquin selectively kills glioma stem cells while sparing differentiated brain cells. Transcriptomic and proteomic analyses show Adaptaquin disrupts iron and cholesterol homeostasis, with iron chelation amplifying cytotoxicity via cholesterol depletion, mitochondrial dysfunction, and elevated reactive oxygen species.
Adrien M. Vaquié +16 more
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Dynamic properties of a discrete population model with diffusion
Advances in Difference Equations, 2020 We study the dynamical properties of a discrete population model with diffusion. We survey the transcritical, pitchfork, and flip bifurcations of nonhyperbolic fixed points by using the center manifold theorem.
Ming-Shan Li +2 more
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