On non-linear partial differential equations of parabolic types, II
, 1957 Haruo Murakami
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Reducing parabolic partial differential equations to canonical form [PDF]
, 1994 J. F. Harper
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Base Models for Parabolic Partial Differential Equations
Parabolic partial differential equations (PDEs) appear in many disciplines to model the evolution of various mathematical objects, such as probability flows, value functions in control theory, and derivative prices in finance. It is often necessary to compute the solutions or a function of the solutions to a parametric PDE in multiple scenarios ...
Xu, Xingzi +3 more
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Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations
Annalen der Physik, EarlyView.A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona +2 more
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Representation theorems for linear second-order parabolic partial differential equations
, 1967 Ronald B. Guenther
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Gas phase lubrication study with an organic friction modifier
Lubrication Science, Volume 35, Issue 1, Page 40-55, January 2023., 2023 Abstract Friction modifier additives play a crucial role in controlling friction and wear of lubricated tribological systems. Model experiments in a controllable atmosphere performed by integrating a tribometer into a system of in situ surface analytical methods in vacuum can give insights into the additives functionality.
Jennifer Eickworth +4 more
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A Space-Time Multigrid Method for Parabolic Partial Differential Equations [PDF]
, 1995 Graham Horton, Stefan Vandewalle
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Resonance and Quasilinear Parabolic Partial Differential Equations
Journal of Differential Equations, 1993 L.E. Lefton, V.L. Shapiro
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Existence and regularity of a global attractor for doubly nonlinear parabolic equations
Electronic Journal of Differential Equations, 2002 In this paper we consider a doubly nonlinear parabolic partial differential equation $$ frac{partial eta (u)}{partial t}-Delta _{p}u+f(x,t,u)=0 quad hbox{in }Omega imesmathbb{R}^{+}, $$ with Dirichlet boundary condition and initial data given.
Abderrahmane El Hachimi, Hamid El Ouardi
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Explicit Runge-Kutta methods for parabolic partial differential equations [PDF]
, 1996 J.G. Verwer
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