Results 41 to 50 of about 211,459 (306)
Probabilistic representation for mild solution of the Navier–Stokes equations [PDF]
Mathematical Research Letters, 2021 This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin \cite{Cont} , where the velocity field of a viscous incompressible fluid is written as the expected value of a stochastic process. Our contribution is to establish this probabilistic representation formula for mild solutions of the Navier-Stokes ...
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Effect of different surface preparations prior to painting on the corrosion behaviour and surface activity of mild steel [PDF]
, 2010 Previous work in our laboratory showed that the type of surface preparation of the steel prior to coating had a dramatic effect on the subsequent corrosion protection afforded in immersion tests and in salt spray testing.
Mills, Douglas J; id_orcid +2 more
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Existence results for mild solutions of impulsive periodic systems
, 2012 By applying the Horn's fixed point theorem, we prove the existence of \(T_0\)-periodic \(PC\)-mild solution of impulsive periodic systems when \(PC\)-mild solutions are ultimate ...
Yang, Y. +3 more
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Fractal and Fractional, 2022 The gravitational effect is a physical phenomenon that explains the motion of a conductive fluid flowing under the impact of an exterior gravitational force.
Kinda Abuasbeh +5 more
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Estimates for mild solutions to semilinear Cauchy problems [PDF]
Electronic Journal of Differential Equations, 2014 The existence (and uniqueness) results on mild solutions of the abstract semilinear Cauchy problems in Banach spaces are well known. Following the results of Tartar (2008) and Burazin (2008) in the case of decoupled hyperbolic systems, we give an alternative proof, which enables us to derive an estimate on the mild solution and its time of existence ...
Burazin K., Erceg M.
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The Role of Hematopoietic Cell Transplantation in Ataxia‐Telangiectasia
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Ataxia‐telangiectasia (A‐T) is a DNA repair disorder characterized by neurodegeneration, immunodeficiency, and cancer predisposition. Hematopoietic cell transplantation (HCT) is an established therapy in related disorders such as Fanconi anemia (FA) and Nijmegen breakage syndrome (NBS), but its role in A‐T is unclear.
Laila Alkhouli +3 more
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Mild and viscosity solutions to semilinear parabolic path-dependent PDEs [PDF]
, 2018 We study and compare two concepts for weak solutions to semilinear parabolic path-dependent partial differential equations (PPDEs). The first is that of mild solutions as it appears, e.g., in the log-Laplace functionals of historical superprocesses.
Kalinin, Alexander, Schied, Alexander
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On mild solutions to fractional differential equations with nonlocal conditions [PDF]
, 2011 We prove new existence results of mild solutions to fractional differential equations with nonlocal conditions in Banach spaces. The nonlocal item is only assumed to be continuous.
Chen, Lizhen +5 more
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On the Mild Solutions of Second-Order Θ-Caputo Fractional Boundary Value Problems
MathematicsIn this paper, we study a class of second-order fractional boundary value problems involving Θ-Caputo derivatives of different orders. By reformulating the problem to an integral equation, we introduce an appropriate notion of a mild solution in the Θ ...
Mouataz Billah Mesmouli +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we study periodic boundary value problems for a class of linear fractional evolution equations involving the Caputo fractional derivative.
JinRong Wang, Yong Zhou, Michal Fečkan
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