Results 11 to 20 of about 18,125 (165)
Viscosity Solutions to Second Order Parabolic PDEs on Riemannian Manifolds [PDF]
Acta Applicandae Mathematicae, 2011 In this work we consider viscosity solutions to second order parabolic PDEs $u_{t}+F(t,x,u,du,d^{2}u)=0$ defined on compact Riemannian manifolds with boundary conditions. We prove comparison, uniqueness and existence results for the solutions. Under the assumption that the manifold $M$ has nonnegative sectional curvature, we get the finest results.
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Path-dependent equations and viscosity solutions in infinite dimension [PDF]
, 2017 Path-dependent PDEs (PPDEs) are natural objects to study when one deals with non Markovian models. Recently, after the introduction of the so-called pathwise (or functional or Dupire) calculus (see [15]), in the case of finite-dimensional underlying ...
Cosso, Andrea +4 more
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Analysis of a viscoelastic fluid flow with Cattaneo–Christov heat flux and Soret–Dufour effects
Case Studies in Thermal Engineering, 2023 The present study concentrates on the motion of a third-grade fluid with magneto-hydrodynamics (MHD) over a stretching surface. Additionally, the Cattaneo–Christov model is employed to derive information about the heat flux, which is subsequently ...
Shahida Rehman +5 more
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Scientific Reports, 2021 Drilling fluids execute a dominant role in the extraction of oil and gas from the land and rocks. To enhance the efficiency of drilling fluid, clay nanoparticulate has been utilized.
Hussam Alrabaiah +4 more
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A New Fractional-order Derivative-based Nonlinear Anisotropic Diffusion Model for Biomedical Imaging
Chaos Theory and Applications, 2023 Medical imaging, the process of visual representation of different organs and tissues of the human body, is employed for monitoring the normal as well as abnormal anatomy and physiology of the body. Imaging which can provide healthcare solutions ensuring
Yeliz Karaca +2 more
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Weak Continuity and Compactness for Nonlinear Partial Differential Equations [PDF]
, 2015 We present several examples of fundamental problems involving weak continuity and compactness for nonlinear partial differential equations, in which compensated compactness and related ideas have played a significant role.
Chen, Gui-Qiang G.
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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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Mild and viscosity solutions to semilinear parabolic path-dependent PDEs
, 2016 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. The aim of this paper is to show that mild solutions are also solutions in a viscosity sense.
Kalinin, A, Schied, A
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Representation Formula for Viscosity Solutions to a class of Nonlinear Parabolic PDEs
, 2021 We provide a representation formula for viscosity solutions to a class of nonlinear second order parabolic PDEs given as a sup--envelope function. This is done through a dynamic programming principle derived from Denis, Hu, Peng (2010). The formula can be seen as a nonlinear extension of the Feynman--Kac formula and is based on the backward stochastic ...
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Boundary regularity for viscosity solutions to degenerate elliptic PDEs
Journal of Mathematical Analysis and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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