Results 31 to 40 of about 86,831,735 (183)
Stochastic PDEs with multiscale structure [PDF]
, 2012 We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer +3 more
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Mathematics, 2019 This paper reflects the effects of velocity and thermal slip conditions on the stagnation-point mixed convective flow of Cross liquid moving over a vertical plate entrenched in a Darcy−Forchheimer porous medium.
Umair Khan +4 more
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A New Viscosity Equation For Bin Aqueous Solutions. [PDF]
, 2004 An equation for the viscosity of binary aqueous solutions has been derived based on the Power law equation and Erying's absolute rate theory. The concentration dependent equation for viscosities of binary aqueous systems is derived using additive ...
Tan, C. S. +5 more
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Strong-viscosity solutions: classical and path-dependent PDEs
Osaka Journal of Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cosso A., Russo F.
openaire +5 more sources
Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem [PDF]
Annals of Mathematics, 2020 43 pages, 4 ...
Maderna, Ezequiel, Venturelli, Andrea
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Representation formula for viscosity solution to a PDE problem involving Pucci’s extremal operator [PDF]
Nonlinear Analysis: Real World Applications, 2021 We provide a representation formula for viscosity solutions to an elliptic Dirichlet problem involving Pucci's extremal operators. This is done through a dynamic programming principle derived from Denis, Hu and Peng (2010). The formula can be seen as a nonlinear extension of the Feynman-Kac formula.
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Perron’s method for viscosity solutions of semilinear path dependent PDEs [PDF]
Stochastics, 2016 This paper proves the existence of viscosity solutions of path dependent semilinear PDEs via Perron's method, i.e. via showing that the supremum of viscosity subsolutions is a viscosity solution. We use the notion of viscosity solutions introduced by Ekren, Keller, Touzi and Zhang, in whose work all smooth processes which are tangent in mean are ...
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Quadratic BSDEs with Singular Generators and Unbounded Terminal Conditions: Theory and Applications
MathematicsWe investigate a class of quadratic backward stochastic differential equations (BSDEs) with generators that are singular in y. First, we establish the existence of solutions and a comparison theorem, thereby extending the existing results in the ...
Wenbo Wang, Guangyan Jia
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On a vector-valued generalisation of viscosity solutions for general PDE systems [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2022 We propose a theory of non-differentiable solutions which applies to fully nonlinear PDE systems and extends the theory of viscosity solutions of Crandall–Ishii–Lions to the vectorial case. Our key ingredient is the discovery of a notion of extremum for maps which extends min-max and allows “nonlinear passage of derivatives” to test maps.
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Heat transport features of MHD hybrid nanofluids beyond variable fluid characteristics
Results in EngineeringHeat transmission via hybrid nanofluids offers promising roles in manufacturing and engineering uses such as plastic factories, solar energy, the concrete pavement sector, electronic components, bio-medical fields, automobile radiators, power-plant ...
Mudassar Qamar +4 more
doaj +1 more source