Results 11 to 20 of about 86,831,735 (183)
Controlled viscosity solutions of fully nonlinear rough PDEs [PDF]
, 2014 We propose a definition of viscosity solutions to fully nonlinear PDEs driven by a rough path via appropriate notions of test functions and rough jets. These objects will be defined as controlled processes with respect to the driving rough path. We show that this notion is compatible with the seminal results of Lions and Souganidis and with the recent ...
Gubinelli, Massimiliano +2 more
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Viscosity Solutions of Path-Dependent PDEs with Randomized Time [PDF]
SIAM Journal on Mathematical Analysis, 2020 We introduce a new definition of viscosity solution to path-dependent partial differential equations, which is a slight modification of the definition introduced in [8]. With the new definition, we prove the two important results till now missing in the literature, namely, a general stability result and a comparison result for semicontinuous sub-/super-
Zhenjie Ren, Mauro Rosestolato
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Decay estimate of viscosity solutions of nonlinear parabolic PDEs and applications [PDF]
Le Matematiche, 2013 The aim of this paper is to establish a decay estimate for viscosity solutions of nonlinear PDEs. As an application we prove existence and uniqueness for time almost periodic viscosity solutions.
MARCHI, Silvana, Silvana Marchi
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Decay estimate of viscosity solutions of nonlinear parabolic PDEs and applications [PDF]
Le Matematiche, 2014 The aim of this paper is to establish a decay estimate for viscosity solutions of nonlinear PDEs. As an application we prove existence and uniqueness for time almost periodic viscosity solutions.
Silvana Marchi
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Comparison of viscosity solutions for a class of second-order PDEs on the Wasserstein space
Communications in Partial Differential EquationsWe prove a comparison result for viscosity solutions of second order parabolic partial differential equations in the Wasserstein space. The comparison is valid for semisolutions that are Lipschitz continuous in the measure in a Fourier-Wasserstein metric and uniformly continuous in time.
Ibrahim Ekren, Erhan Bayraktar
exaly +3 more sources
Thermal analysis of Williamson fluid flow with Lorentz force on the stretching plate
Case Studies in Thermal Engineering, 2022 This study is dedicated to the semi-analytical solution of the problem by managing the inclined Lorentz force and variable viscosity impacts on Williamson nanofluid as visco-inelastic fluids on a stretching plate.
Bahram Jalili +4 more
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Viscosity solutions for a system of PDEs and optimal switching [PDF]
IMA Journal of Mathematical Control and Information, 2016 26 pages. arXiv admin note: substantial text overlap with arXiv:1102.1256, arXiv:0805.1306, arXiv:0904.0707, arXiv:1202.1108, and arXiv:0707.2663 and arXiv:1104.2689 by other authors. IMA Journal of Mathematical Control and Information (2016)
Brahim El Asri, Imade Fakhouri
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Alexandria Engineering Journal, 2021 The current research article explores the bio-convection magnetized Carreau-nanofluid flow utilizing activation energy and magnetic dipole. Magnetic nanomaterials have significant effect on the magnetized behavior of ferrofluids which leads to robust the
Fouad Mallawi, Malik Zaka Ullah
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Mathematics, 2023 This work considers the infinite horizon discounted risk-sensitive optimal control problem for the switching diffusions with a compact control space and controlled through the drift; thus, the the generator of the switching diffusions also depends on the
Xianggang Lu, Lin Sun
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Fully nonlinear stochastic and rough PDEs: Classical and viscosity solutions [PDF]
Probability, Uncertainty and Quantitative Risk, 2020 Abstract We study fully nonlinear second-order (forward) stochastic PDEs. They can also be viewed as forward path-dependent PDEs and will be treated as rough PDEs under a unified framework. For the most general fully nonlinear case, we develop a local theory of classical solutions and then define viscosity solutions through smooth test ...
Buckdahn, Rainer +3 more
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