Results 81 to 90 of about 27,119 (279)
Existence and regularity of solutions to a quasilinear elliptic problem involving variable sources
Boundary Value Problems, 2017 The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation − div ( | ∇ u | p − 2 ∇ u ) = f ( x ) u α ( x ) $-\operatorname{div}(|\nabla u|^{p-2}\nabla u)=\frac{f(x)}{u ...
Ying Chu, Ruimei Gao, Yan Sun
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, 2013 An hp-adaptive Discontinuous Galerkin Method for electromagnetic wave propagation phenomena in the time-domain is proposed. The method is highly efficient and allows for the first time the adaptive full-wave simulation of transient problems in three ...
Schnepp, Sascha M.
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Anisotropic generalized polytropic spheres: Regular 3D black holes
Physics of the Dark Universe17 pages, 9 figures, 1 table, 2 appendix, v2: discussion improved and extended, figures added, references updated, version accepted for ...
Seyed Naseh Sajadi +3 more
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Advanced Functional Materials, EarlyView.Developing recyclable materials for magnetic robotics that combine rapid response and self‐healing properties is challenging. Hence, this study focuses on the integration of magnetothermal nanoparticles into a dynamic sorbitol‐based vitrimer, a recyclable composite capable of remote actuation and self‐healing by magnetic heating.
Maria Weißpflog +3 more
wiley +1 more source
Applied Sciences, 2016 This manuscript explores numerical errors in highly anisotropic diffusion problems. First, the paper addresses the use of regular structured meshes in numerical solutions versus meshes aligned with the preferential directions of the problem.
Daniel Pérez-Grande +3 more
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Regularity of harmonic functions for anisotropic fractional Laplacians
Mathematische Nachrichten, 2010 AbstractWe prove that bounded harmonic functions of anisotropic fractional Laplacians are Hölder continuous under mild regularity assumptions on the corresponding Lévy measure. Under some stronger assumptions the Green function, Poisson kernel and the harmonic functions are even differentiable of order up to three (© 2010 WILEY‐VCH Verlag GmbH & Co.
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Applied Mathematics Letters, 2005 In this note, we prove that given u a weak solution of the Primitive Equations, imposing an additional condition on the vertical derivative of the velocity u (concretely ∂zu ∈ L∞(0, T;L2(Ω)) ∩ L2(0, T; H1(Ω))), then two different results hold; namely, uniqueness of weak solution (any weak solution associated to the same data that u must coincide with u)
Guillén González, Francisco Manuel +1 more
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A Non‐Reciprocal Architected Porous Medium
Advanced Functional Materials, EarlyView.ABSTRACT In several fluid flow, energy‐dumping, and energy‐harvesting applications, a dominant flow direction or dominant resistance direction is desirable. In this study, we propose a simple modular geometry that doubles flow resistance in one direction relative to the opposite direction, while maintaining laminar viscous flow.
Clément Vezies +2 more
wiley +1 more source
Regularity under sharp anisotropic general growth conditions
Discrete & Continuous Dynamical Systems - B, 2009 We prove boundedness of minimizers of energy-functionals, for in- stance of the anisotropic type (1) below, under sharp assumptions on the ex- ponents pi in terms of p : the Sobolev conjugate exponent of p; i.e., p = np n p , 1 p = 1 n P n i=1 1 pi .
CUPINI, GIOVANNI +2 more
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Advanced Functional Materials, EarlyView.An original method is presented for producing artificial spider silk fibers with magnetic and magnetomechanical responsiveness, which consists in coating them with a nanometer‐thick layer of FeCo alloy by sputtering deposition. The challenge of combining organic materials and inorganic magnetic nanostructures is addressed, thus taking a step forward ...
Filippo Lanaro +5 more
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