Results 41 to 50 of about 2,031,552 (294)
Numerical Homogenization and Correctors for Nonlinear Elliptic Equations [PDF]
SIAM Journal on Applied Mathematics, 2004 The authors study numerical homogenization techniques for nonlinear elliptic equatiuons involving operators with homogeneous random coefficients. They use a heterogeneous multiscale approach and establish convergence results in the framework of G-convergence. Numerical examples illustrate the performance of the suggested method for convection-diffusion
Yalchin Efendiev, Alexander Pankov
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Analysis of complex nonlinear reaction-diffusion equations [PDF]
, 2008 A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
core
Advanced Engineering Materials, EarlyView.Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
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Ellipticity and Regularity for Periodic Nonlinear Equations [PDF]
Proceedings of the American Mathematical Society, 1969 The composition of two strongly elliptic linear operators with suitably differentiable coefficients is also strongly elliptic. This fact has been used [3, pp. 178-181] to yield a particularly simple proof of the regularity of weak solutions of periodic strongly elliptic linear equations.
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Advanced Engineering Materials, EarlyView.Deep‐UV (258 nm) femtosecond pulses enable uniform amorphous silicon writing on Si(100)/(111) with a six‐fold larger fluence amorphization window than NIR methods. Optimized fluence and overlap yield 20–45 nm uniform and continuous amorphous layers. Microscopy shows sharp interfaces, and real‐time reflectivity reveals nanosecond melt–resolidification ...
Wissal Benali +5 more
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Математичні Студії, 2023 Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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Uniform estimates for positive solutions of a class of semilinear elliptic equations and related Liouville and one-dimensional symmetry results [PDF]
, 2013 We consider the semilinear elliptic equation $\Delta u = W'(u)$ with Dirichlet boundary conditions in a smooth, possibly unbounded, domain $\Omega \subset \mathbb{R}^n$. Under suitable assumptions on the potential $W$, including the double well potential
Sourdis, Christos
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Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]
, 2012 We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A. +3 more
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Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials
Advanced Engineering Materials, EarlyView.Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
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Ion‐Reconfigurable “N”‐Shaped Antiambipolar Behavior in Organic Electrochemical Transistors
Advanced Materials, EarlyView.A unique N‐shaped negative differential transconductance (NDT) characteristics is demonstrated in single‐polymer organic electrochemical transistors through a sequential doping–redox–doping process driven by iodide ions. This redox‐driven mechanism enables low‐voltage, ion‐controlled reconfigurability and tunable current modulation, allowing seamless ...
Debdatta Panigrahi +11 more
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