Results 51 to 60 of about 18,125 (165)
The evolution of the temperature field and frozen wall under different fracture conditions was examined by an artificial ground freezing‐based thermal‐hydraulic coupled model. It was observed that fracture inclination affects the interaction extent of freezing pipes and fracture, while phase transition extent is the dominant factor for heat transfer in
Chenyi Zhang +9 more
wiley +1 more source
Calculus via regularizations in Banach spaces and Kolmogorov-type path-dependent equations [PDF]
The paper reminds the basic ideas of stochastic calculus via regularizations in Banach spaces and its applications to the study of strict solutions of Kolmogorov path dependent equations associated with "windows" of diffusion processes.
Cosso, Andrea +2 more
core +3 more sources
BSDEs with terminal conditions that have bounded Malliavin derivative
We show existence and uniqueness of solutions to BSDEs of the form $$ Y_t = \xi + \int_t^T f(s,Y_s,Z_s)ds - \int_t^T Z_s dW_s$$ in the case where the terminal condition $\xi$ has bounded Malliavin derivative.
Cheridito, Patrick, Nam, Kihun
core +1 more source
This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu +8 more
wiley +1 more source
This study investigates the unsteady flow of Williamson nanofluid over a vertically rotating cone, incorporating the effects of variable thermophysical properties, chemical reactions, and thermal radiation.
Endale Ersino Bafe +2 more
doaj +1 more source
Representation Formula for Viscosity Solutions to Parabolic PDEs with Sublinear Operators
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
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
wiley +1 more source
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
The problems of preparing homogeneous liquid solutions for high-performance applications in the electrical, biological, and industrial domains are revolutionized by this research.
Abbas Khan, Hashim, Muhammad Farooq
doaj +1 more source
On a system of partial differential equations of Monge-Kantorovich type
We consider a system of PDEs of Monge-Kantorovich type arising from models in granular matter theory and in electrodynamics of hard superconductors. The existence of a solution of such system (in a regular open domain $\Omega\subset\mathbb{R}^n$), whose ...
Annalisa Malusa +18 more
core +1 more source

