Results 71 to 80 of about 2,229 (130)
Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces
Advanced Nonlinear Studies, 2023 We survey some ideas regarding the application of the Aleksandrov reflection method in partial differential equation to extrinsic geometric flows of Euclidean hypersurfaces.
Chow Bennett
doaj +1 more source
Global Existence and Asymptotic Behavior of Solutions to a Chemotaxis-Fluid System on General Bounded Domain [PDF]
, 2014 In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain $\Omega \subset \mathbb{R}^N$ ($N\in\{2,3\}$), not necessarily being convex.
Jiang, Jie, Wu, Hao, Zheng, Songmu
core
Existence and nonexistence of global solutions of degenerate and singular parabolic systems
, 2000 Abstract and Applied Analysis, Volume 5, Issue 4, Page 265-284, 2000.
Gabriella Caristi
wiley +1 more source
Self-propagating High temperature Synthesis (SHS) in the high activation energy regime [PDF]
, 2005 We derive the precise limit of SHS in the high activation energy scaling suggested by B.J. Matkowksy-G.I. Sivashinsky in 1978 and by A. Bayliss-B.J. Matkowksy-A.P. Aldushin in 2002. In the time-increasing case the limit turns out to be the Stefan problem
Monneau, Regis, Weiss, G. S.
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Drift perturbation’s influence on traveling wave speed in KPP-Fisher system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper dressed the drift perturbation effects on the traveling wave speed in a reaction-diffusion system. We prove the existence of a traveling front solution of a KPP-Fisher equation and we show an asymptotic expansion of her speed.
Dkhil Fathi, Mannoubi Bechir
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Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces
, 2016 The nonnegative solution for a linear degenerate diffusion transport eqution is proved. As a result, we show the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces $H^\alpha$ with nonnegative initial data,
Xiao, Weiliang, Zhou, Xuhuan
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Optimal coupling for mean field limits
, 2009 We review recent quantitative results on the approximation of mean field diffusion equations by large systems of interacting particles, obtained by optimal coupling methods.
Bolley, François
core
Advanced Nonlinear Studies, 2020 In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption, ut-Δu+|u|αu=0{u_{t}-\Delta u+\lvert u\rvert^{\alpha}u=0}, where u=u(t,x)∈ℝ{u=u(t,x)\in\mathbb{R}}, (t,x)∈(0,∞)×
Mouajria Hattab +2 more
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The Microscopic Derivation and Well-Posedness of the Stochastic Keller-Segel Equation. [PDF]
J Nonlinear Sci, 2021 Huang H, Qiu J.
europepmc +1 more source
Optimal Control for a Steady State Dead Oil Isotherm Problem
, 2013 We study the optimal control of a steady-state dead oil isotherm problem. The problem is described by a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of mechanics of a ...
Ammi, Moulay Rchid Sidi +2 more
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