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On the Striated Regularity for the 2D Anisotropic Boussinesq System [PDF]
Journal of Nonlinear Science, 2020 36 ...
Paicu, Marius, Zhu, Ning
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Regularity Criteria for the 3D Magneto-Hydrodynamics Equations in Anisotropic Lorentz Spaces
Symmetry, 2021 In this paper, we investigate the regularity of weak solutions to the 3D incompressible MHD equations. We provide a regularity criterion for weak solutions involving any two groups functions (∂1u1,∂1b1), (∂2u2,∂2b2) and (∂3u3,∂3b3) in anisotropic Lorentz
Maria Alessandra Ragusa, Fan Wu
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Concerning the Regularity of the Anisotropic Porous Medium Equation [PDF]
Journal of Mathematical Analysis and Applications, 2011 We show that a locally bounded nonnegative weak solution of the anisotropic porous media equation is locally continuous. The proof is based on DiBenedetto's technique called intrinsic scaling; by choosing an appropriate geometry one can deduce energy and
Eurica Henriques
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Existence and Regularity Results for Anisotropic Elliptic Problems
Advanced Nonlinear Studies, 2009 Abstract We study existence and regularity of the solutions for some anisotropic elliptic problems with homogeneous Dirichlet boundary conditions in bounded domains.
Agnese Di Castro
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A Regularized Equation for Anisotropic Motion-by-Curvature
SIAM Journal on Applied Mathematics, 1992For realistic interfacial energies, the equations of anisotropic motion-by-curvature exhibit backward-parabolic behavior over portions of their domain, thereby inducing phenomena such as the formation of facets and wrinkles. In this paper, a physically consistent regularized equation that may be used to analyze such phenomena is derived.
DI CARLO, Antonio +2 more
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Blind image restoration by anisotropic regularization
IEEE Transactions on Image Processing, 1999This paper presents anisotropic regularization techniques to exploit the piecewise smoothness of the image and the point spread function (PSF) in order to mitigate the severe lack of information encountered in blind restoration of shift-invariantly and shift-variantly blurred images.
Yu-Li You, Mostafa Kaveh
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Global Regularity for Minimizers of Some Anisotropic Variational Integrals
Journal of Optimization Theory and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongya Gao, Miaomiao Huang, Wei Ren
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The regularizing properties of anisotropic radial basis functions
Applied Mathematics and Computation, 2007In order to be able to solve the interpolation problem with radial basis functions more efficiently, transformations of the standard radial basis functions into anisotropic functions are discussed. Supported by numerical results and examples, it is shown that ill-conditioning can be avoided by scaling if it is undertaken in a suitable, data-dependent ...
CASCIOLA, GIULIO +2 more
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Locally controlled regularized spatiotemporal anisotropic diffusion
2015 IEEE International Conference on Image Processing (ICIP), 2015In this paper, we propose a new anisotropic diffusion formulation allowing non-linear spatiotemporal filtering of image sequences. We first formulate a multidimensional spatiotemporal diffusion equation based on Barash's iterative form, processing independently both spatial, temporal and intensity dimensions with their own diffusion functions and scale
Pierre Portejoie +3 more
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Localized Anisotropic Regularity Conditions for the Navier–Stokes Equations
Journal of Nonlinear Science, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Igor Kukavica +2 more
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