Results 11 to 20 of about 48 (48)

Group method analysis of two‐dimensional plate in heat flux

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 22, Page 1369-1382, 2003., 2003
The group transformation theoretic approach is applied to present an analytic study of the temperature distribution in a triangular plate, Ω, placed in the field of heat flux, along one boundary, in a form of polynomial functions of any degree “n.” The Laplace′s equation has been reduced to second‐order linear ordinary differential equation with an ...
Mina B. Abd-el-Malek, Fayez H. Michael, Samy M. A. El-Mansi   +2 more
wiley   +1 more source

On the notion of L 1‐completeness of a stochastic flow on a manifold

Abstract and Applied Analysis, Volume 7, Issue 12, Page 627-635, 2002., 2002
We introduce the notion of L 1‐completeness for a stochastic flow on manifold and prove a necessary and sufficient condition for a flow to be L 1‐complete. L 1‐completeness means that the flow is complete (i.e., exists on the given time interval) and that it belongs to some sort of L 1‐functional space, natural for manifolds where no Riemannian metric ...
Yu. E. Gliklikh, L. A. Morozova
wiley   +1 more source

Cahn–Hilliard equation on the boundary with bulk condition of Allen–Cahn type

Advances in Nonlinear Analysis, 2018
The well-posedness of a system of partial differential equations with dynamic boundary conditions is discussed. This system is a sort of transmission problem between the dynamics in the bulk Ω and on the boundary Γ.
Colli Pierluigi, Fukao Takeshi
doaj   +1 more source

The ideal flow for planar closed curves with local length constraint

Advances in Nonlinear Analysis
We construct the L 2-gradient flow of the ideal functional, which is defined as the squared integral of the derivative of curvature, under the local length constraint.
Okabe Shinya, Yamaguchi Hikaru
doaj   +1 more source

Continuous in time bubble decomposition for the harmonic map heat flow

Forum of Mathematics, Pi
We consider the harmonic map heat flow for maps $\mathbb {R}^{2} \to \mathbb {S}^2$ . It is known that solutions to the initial value problem exhibit bubbling along a well-chosen sequence of times.
Jacek Jendrej, Andrew Lawrie, Wilhelm Schlag   +2 more
doaj   +1 more source

Curvature conditions, Liouville-type theorems and Harnack inequalities for a nonlinear parabolic equation on smooth metric measure spaces

Advanced Nonlinear Studies
In this paper we prove gradient estimates of both elliptic and parabolic types, specifically, of Souplet-Zhang, Hamilton and Li-Yau types for positive smooth solutions to a class of nonlinear parabolic equations involving the Witten or drifting Laplacian
Taheri Ali, Vahidifar Vahideh
doaj   +1 more source

Collapsing immortal Kähler-Ricci flows

Forum of Mathematics, Pi
We consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical metric on the base of the Iitaka fibration in the locally smooth topology ...
Hans-Joachim Hein, Man-Chun Lee, Valentino Tosatti   +2 more
doaj   +1 more source

On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces. [PDF]

Results Math, 2020
Branding V.
europepmc   +1 more source

The Heat Asymptotics on Filtered Manifolds. [PDF]

J Geom Anal, 2020
Dave S, Haller S.
europepmc   +1 more source

Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation. [PDF]

J Inequal Appl, 2018
Ma B, Dong Y.
europepmc   +1 more source