Results 101 to 110 of about 86,831,735 (183)
NORi: An ML‐Augmented Ocean Boundary Layer Parameterization
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 9, September 2026.Abstract NORi is a machine learning (ML) parameterization of ocean boundary layer (BL) turbulence that is physics‐based and augmented with neural networks. NORi stands for neural ordinary differential equations Richardson number (Ri) closure. The physical parameterization is controlled by a Richardson number‐dependent diffusivity and viscosity.
Xin Kai Lee +6 more
wiley +1 more source
Water Resources Research, Volume 62, Issue 9, September 2026.Abstract The injection of CO2 into geological reservoirs can acidify the reservoir environment, leading to the dissolution of mineral grains and increasing the risk of CO2 leakage. A deeper understanding of these micro‐scale dissolution mechanisms is therefore essential for the safety of geological CO2 sequestration.
Zhi‐Jun Wu +5 more
wiley +1 more source
Comparison of Viscosity Solutions of Semi-linear Path-Dependent PDEs
, 2014 This paper provides a probabilistic proof of the comparison result for viscosity solutions of path-dependent semilinear PDEs. We consider the notion of viscosity solutions introduced in [8] which considers as test functions all those smooth processes ...
Ren, Zhenjie +2 more
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KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT We discuss traveling fronts in several coupled reaction–diffusion systems that model predator–prey interactions, as well as other systems that share similar structural features. We review some cases where the traveling fronts exist and are small perturbations of fronts in certain scalar equations of Fisher–KPP or Burgers–FKPP type.
Anna Ghazaryan, Vahagn Manukian
wiley +1 more source
Unveiling the role of the venous system in arterial hypertension: A computational study
The Journal of Physiology, Volume 604, Issue 17, Page 7145-7160, 1 September 2026.Abstract figure legend This abstract figure summarizes the principal findings of our computational analysis of hypertension. Model‐based results identify reduced venous compliance as a major determinant of elevated arterial pressure, second only to increased peripheral resistance.
Eleuterio F. Toro +4 more
wiley +1 more source
Viscosity solution PDEs in hybrid games with mechanical work payoff
, 2017 9 pages.
Udrişte, Constantin +2 more
openaire +2 more sources
STRONG-VISCOSITY SOLUTIONS : CLASSICAL AND PATH-DEPENDENT PDES
STRONG-VISCOSITY SOLUTIONS : CLASSICAL AND PATH-DEPENDENT PDESThe aim of the present work is the introduction of a viscosity type solution, called strongviscosity solution emphasizing also a similarity with the existing notion of strong solution in the literature. It has the following peculiarities: it is a purely analytic object; it can be easily adapted to more general equations than classical partial ...
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Generalized viscosity solutions of elliptic PDEs and boundary conditions
Electronic Journal of Differential Equations, 2006 Summary: Sufficient conditions are given for a generalized viscosity solution of an elliptic boundary value problem to satisfy the boundary values in the strong sense.
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Viscosity Solutions of Fully Nonlinear Elliptic Path Dependent PDEs
, 2014 This paper introduces a convenient solution space for the uniformly elliptic fully nonlinear path dependent PDEs. It provides a wellposedness result under standard Lipschitz-type assumptions on the nonlinearity and an additional assumption formulated on some partial differential equation defined locally by freezing the path.
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Representation Formula for Viscosity Solutions to Parabolic PDEs with Sublinear Operators
, 2019 We provide a representation formula for viscosity solutions to a class of nonlinear second order parabolic PDE problem involving sublinear operators. This is done through a dynamic programming principle derived from [8]. The formula can be seen as a nonlinear extension of the Feynman--Kac formula and is based on the backward stochastic differential ...
openaire +2 more sources