Results 1 to 10 of about 101,218 (224)
Convergence of nonlocal geometric flows to anisotropic mean curvature motion [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2018 We consider nonlocal curvature functionals associated with positive interaction kernels, and we show that local anisotropic mean curvature functionals can be retrieved in a blow-up limit from them.
A. Cesaroni, V. Pagliari
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Secondary flow and streamwise vortices in three-dimensional staggered wavy-wall turbulence
Flow, 2023 The present paper simplifies the naturally formed dunes (riverbeds) as large-scale three-dimensional staggered wavy walls to investigate the features of the accompanying secondary flows and streamwise vortices via large-eddy simulation.
Enwei Zhang +4 more
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Forced hyperbolic mean curvature flow [PDF]
, 2012 In this paper, we investigate two hyperbolic flows obtained by adding forcing terms in direction of the position vector to the hyperbolic mean curvature flows in \cite{klw,hdl}.
Jing Mao
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Propagation of gravity waves and its effects on pseudomomentum flux in a sudden stratospheric warming event [PDF]
Atmospheric Chemistry and Physics, 2020 Effects of realistic propagation of gravity waves (GWs) on distribution of GW pseudomomentum fluxes are explored using a global ray-tracing model for the 2009 sudden stratospheric warming (SSW) event. Four-dimensional (4D; x–z and t) and two-dimensional (
I.-S. Song +6 more
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Minimal cones and self-expanding solutions for mean curvature flows [PDF]
Mathematische Annalen, 2019 In this paper, we study self-expanding solutions for mean curvature flows and their relationship to minimal cones in Euclidean space. Ilmanen (Lectures on mean curvature flow and related equations (Trieste Notes), 1995) proved the existence of self ...
Q. Ding
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Generalized Lagrangian mean curvature flows: The cotangent bundle case [PDF]
Journal für die Reine und Angewandte Mathematik, 2016 In [18], we defined a generalized mean curvature vector field on any almost Lagrangian submanifold with respect to a torsion connection on an almost Kähler manifold. The short time existence of the corresponding parabolic flow was established.
Knut Smoczyk, Mao-Pei Tsui, Mu-Tao Wang
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A Rigorous Sharp Interface Limit of a Diffuse Interface Model Related to Tumor Growth [PDF]
Journal of nonlinear science, 2016 In this paper, we study the rigorous sharp interface limit of a diffuse interface model related to the dynamics of tumor growth, when a parameter $$\varepsilon $$ε, representing the interface thickness between the tumorous and non-tumorous cells, tends ...
E. Rocca, Riccardo Scala
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A local regularity theorem for mean curvature flow [PDF]
, 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 1.
F. Schulze, B. White
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Communications on Pure and Applied Analysis, 2019 In this note, we study the mean curvature flow and the prescribed mean curvature type equation with general capillary-type boundary condition, which is \begin{document}$ u_{\nu} = -\phi(x)(1+|Du|^2)^\frac{1-q}{2} $\end{document} for any parameter \begin ...
Jun Wang, Wei Wei, Jin-Juan Xu
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On the late phase of relaxation of two-dimensional fluids: turbulence of unitons
New Journal of Physics, 2017 The two-dimensional ideal fluid and the plasma confined by a strong magnetic field exhibit an intrinsic tendency to organization due to the inverse spectral cascade. In the asymptotic states reached at relaxation the turbulence has vanished and there are
F Spineanu, M Vlad
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