Results 121 to 130 of about 533,049 (353)
Cauchy's problem for a singular parabolic partial differential equation
Journal of Differential Equations, 1970 In recent years analytic function theory has been shown to play a basic role in the investigation of existence and uniqueness theorems for solutions to elliptic partial differential equations ([6], [8], [17]). An approach which has proved particularly fruitful is that of integral operators ([l], [12], [17]), from whose use complete families of ...
David Colton, David Colton
openaire +2 more sources
Advanced Science, EarlyView.This study presents an innovative temperature difference (TD) design with an in‐plane gradient to optimize cooling channels in proton exchange membrane fuel cells (PEMFCs) under high current density (HCD) loading. The positive temperature difference (PTD) design improves dynamic response by enhancing hydration upstream and mitigating flooding ...
Fengyang Cai +3 more
wiley +1 more source
Comparison Theorem for Nonlinear Path-Dependent Partial Differential Equations
Abstract and Applied Analysis, 2014 We introduce a type of fully nonlinear path-dependent (parabolic) partial differential equation (PDE) in which the path ωt on an interval [0, t] becomes the basic variable in the place of classical variables t,x∈[0,T]×ℝd.
Falei Wang
doaj +1 more source
Quasilinear parabolic stochastic partial differential equations: existence, uniqueness [PDF]
arXiv, 2015 In this paper, we provide a direct approach to the existence and uniqueness of strong (in the probabilistic sense) and weak (in the PDE sense) solutions to quasilinear stochastic partial differential equations, which are neither monotone nor locally monotone.
arxiv
A remark on my paper “A Boundary value problem of partial differential equations of parabolic type” in Duke Mathematical Journal [PDF]
, 1958 Seizô Itô
openalex +1 more source
A stability analysis for a semilinear parabolic partial differential equation [PDF]
Journal of Differential Equations, 1974 AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ and 0 < t < + ∞. Under suitable hypotheses pertaining to f, we exhibit a class of initial data φ(x), − ∞ < x < + ∞, for which the corresponding solutions u(x, t) approach zero as t → + ∞.
openaire +1 more source
Realizing High Performance in Flexible Mg3Sb2−xBix Thin‐Film Thermoelectrics
Advanced Science, EarlyView.A p‐type Mg3Sb2−xBix thin film is prepared using a magnetron sputtering method combined with ex situ annealing. The performance and microstructural changes of the material are analyzed under varying Bi compositions. It is found that when x = 0.9, the Mg3Sb1.1Bi0.9 thin film achieved a power factor of 3.771 µW cm−1 K−2 and a ZT value of 0.242 at 500 K ...
Boxuan Hu +8 more
wiley +1 more source
Recent advances and challenges in temperature monitoring and control in microfluidic devices
ELECTROPHORESIS, Volume 44, Issue 1-2, Page 268-297, January 2023., 2023 Abstract Temperature is a critical—yet sometimes overlooked—parameter in microfluidics. Microfluidic devices can experience heating inside their channels during operation due to underlying physicochemical phenomena occurring therein. Such heating, whether required or not, must be monitored to ensure adequate device operation.
Alejandro A. Dos‐Reis‐Delgado +6 more
wiley +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2019 This paper is devoted to a partial differential equation approach to the problem of construction of Feller semigroups associated with one-dimensional diffusion processes with boundary conditions in theory of stochastic processes.
R.V. Shevchuk +2 more
doaj +1 more source
On the well-posedness of a class of McKean Feynman-Kac equations
, 2019 We analyze the well-posedness of a so called McKean Feynman-Kac Equation (MFKE), which is a McKean type equation with a Feynman-Kac perturbation. We provide in particular weak and strong existence conditions as well as pathwise uniqueness conditions ...
Lieber, Jonas +2 more
core