Results 21 to 30 of about 5,163 (128)
Representation formulae for higher order curvature flows
, 2023 In [25], Smoczyk showed that expansion of convex curves and hypersurfaces by the reciprocal of the harmonic mean curvature gives rise to a linear second order equation for the evolution of the support function, with corresponding representation formulae ...
Phil Schrader (20253357) +2 more
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Singular behaviour and long time behaviour of mean curvature flow
, 2020 Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, May, 2020Cataloged from the official PDF of thesis.Includes bibliographical references (pages 125-130).In this thesis, we investigate two asymptotic behaviours of the mean ...
Sun, Ao,Ph. D.Massachusetts Institute of Technology.
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Rotational λ−hypersurfaces in euclidean spaces
, 2021 Self-similar flows arise as special solution of the mean curvature flow that preserves the shape of the evolving submanifold. In addition, λ−hypersurfaces are the generalization of self-similar hypersurfaces.
Bulca, Betül +2 more
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Strain, Rotation and Curvature of Non-material Propagating Iso-scalar Surfaces in Homogeneous Turbulence [PDF]
, 2018 This research aims at gaining some physical insight into the problem of scalar mixing, following the time evolution of propagating iso-surfaces, Y (x, t) = constant, where Y (x, t) stands for any scalar field (e.g., species mass fraction or temperature).
Cifuentes, L. +3 more
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General rotational ξ-surfaces in euclidean spaces
, 2021 The general rotational surfaces in the Euclidean 4-space R-4 was first studied by Moore (1919). The Vranceanu surfaces are the special examples of these kind of surfaces.
core +2 more sources
An efficient algorithm for computing anisotropic evolution by mean curvature
, 1995 A number of numerical simulations of surfaces evolving by mean curvature in anisotropic materials are presented and discussed. We approximate an evolution law based on an appropriate definition of anisotropic mean curvature. This is first regularized
Paolini, Maurizio
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Fundamental studies of premixed combustion [PDF]
, 1998 The thesis comprises a fundamental study of spherical premixed flame propagation,originating at a point under both laminar and turbulent propagation.
Haq, Md Zahurul
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Local monotonicity and mean value formulas for evolving Riemannian manifolds
, 2008 We derive identities for general flows of Riemannian metrics that may be regarded as local mean-value, monotonicity, or Lyapunov formulae. These generalize previous work of the first author for mean curvature flow and other nonlinear diffusions.
Topping, Peter +3 more
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Numerical Approximation of Anisotropic Geometric Evolution Equations [PDF]
, 2006 We present a variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow, as well as related flows. The proposed scheme covers both the closed curve case, and the case of curves that are connected via triple junction ...
Garcke, Harald +2 more
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A local regularity theorem for mean curvature flow
, 2005 This paper proves curvature bounds for mean curvature flows and other related flows in regions of spacetime where the Gaussian densities are close to ...
White, Brian
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