Results 171 to 180 of about 18,893 (283)

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell   +2 more
wiley   +1 more source

Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley   +1 more source

Dose‐Dependent Effects of Biochar on Soil Revealed by Fast Field‐Cycling (FFC) NMR: From Molecular Water Dynamics to Soil Functionality

open access: yesMagnetic Resonance in Chemistry, EarlyView.
Dose–response of biochar in a clay soil: fifteen mixtures (fBC 0–1) reveal nonlinear thresholds (pH/EC) and sharp WHC gains near fBC ≈ 0.3–0.5. Coupled FT‐IR and FFC‐NMR (0.01–10 MHz; ModelFree τc distributions) link water dynamics to soil functionality.
Calogero Librici   +6 more
wiley   +1 more source

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