Results 31 to 40 of about 60,777 (268)
Approximations to the Stochastic Burgers Equation [PDF]
Journal of Nonlinear Science, 2011 This article is devoted to the numerical study of various finite difference approximations to the stochastic Burgers equation. Of particular interest in the one-dimensional case is the situation where the driving noise is white both in space and in time.
Martin Hairer, Jochen Voss
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Advances in Difference Equations, 2004 The general method of Lyapunov functionals construction which was developed during the last decade for stability investigation of stochastic differential equations with aftereffect and stochastic difference equations is considered. It is shown that after
Leonid Shaikhet
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Averaged Systems of Stochastic Differential Equations with Lévy Noise and Fractional Brownian Motion
Fractal and FractionalIn some problems, partial differential equations are reduced to ordinary differential equations. In special cases, when incorporating randomness, equations can be reduced to systems of stochastic differential Equations (SDEs).
Tayeb Blouhi +6 more
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Stochastic dynamics and mechanosensitivity of myosin II minifilaments
New Journal of Physics, 2014 Tissue cells are in a state of permanent mechanical tension that is maintained mainly by myosin II minifilaments, which are bipolar assemblies of tens of myosin II molecular motors contracting actin networks and bundles.
Philipp J Albert +2 more
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Optimal harvesting for a stochastic competition system with stage structure and distributed delay
Electronic Journal of Qualitative Theory of Differential Equations, 2021 A stochastic competition system with harvesting and distributed delay is investigated, which is described by stochastic differential equations with distributed delay.
Yue Zhang, Jing Zhang
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Caratheodory’s approximation for a type of Caputo fractional stochastic differential equations
Advances in Difference Equations, 2020 The Caratheodory approximation for a type of Caputo fractional stochastic differential equations is considered. As is well known, under the Lipschitz and linear growth conditions, the existence and uniqueness of solutions for some type of differential ...
Zhongkai Guo, Junhao Hu, Weifeng Wang
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FEBS Letters, EarlyView.Inositol pyrophosphates are energy‐rich signaling molecules that perform critical functions in cells. Three different families of phosphatases hydrolyze the β phosphate of the inositol pyrophosphate molecules: two have narrow specificities and one is promiscuous.
Ronda J. Rolfes
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Molecular Oncology, EarlyView.Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller +10 more
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Stability Issues for Selected Stochastic Evolutionary Problems: A Review
Axioms, 2018 We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone +3 more
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Modulation Equation for Stochastic Swift--Hohenberg Equation [PDF]
SIAM Journal on Mathematical Analysis, 2013 The purpose of this paper is to study the influence of large or unbounded domains on a stochastic PDE near a change of stability, where a band of dominant pattern is changing stability. This leads to a slow modulation of the dominant pattern. Here we consider the stochastic Swift--Hohenberg equation and derive rigorously the Ginzburg--Landau equation ...
Wael W. Mohammed +2 more
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