Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical 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
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers' Equation
, 2019 Hassan Eltayeb +2 more
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Correction to: Pseudospin Symmetry in Position-Dependent Mass Dirac-Coulomb Problem by Using Laplace Transform and Convolution Integral [PDF]
, 2023 Sami Ortakaya
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A Rapid and Sensitive Method for the Determination of Chitosan Concentration by NMR Relaxometry
Magnetic Resonance in Chemistry, EarlyView.ABSTRACT A rapid, reagent‐free method for the quantification of chitosan in aqueous solutions was developed using 1H nuclear magnetic resonance (NMR) relaxometry. Transverse relaxation times (T2) of chitosan solutions (5–1000 mg/L) were measured with a Carr–Purcell–Meiboom–Gill (CPMG) sequence on a benchtop NMR relaxometer.
Marta Férová, Jiří Kalina
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Magnetic 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
A Proof of First Digit Law from Laplace Transform* [PDF]
, 2019 Mingshu Cong, Bo-Qiang Ma
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What If Each Voxel Were Measured With a Different Diffusion Protocol?
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho +7 more
wiley +1 more source
New approach of analytical inversion of Laplace transform for some cases
, 2019 Zinaida Zhuravlova
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