Results 71 to 80 of about 1,370 (227)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.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
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Quantum Schwarzschild-(A)dS black holes: unitarity and singularity resolution
Journal of High Energy PhysicsWe consider the canonical quantisation of spherically symmetric spacetimes within unimodular gravity, leaving sign choices in the metric general enough to include both the interior and exterior Schwarzschild-(Anti-)de Sitter spacetime.
Steffen Gielen, Sofie Ried
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The Canadian Journal of Chemical Engineering, Volume 104, Issue 3, Page 1372-1386, March 2026.This work demonstrates the application of neural ordinary differential equations (neural ODEs) for learning hydrocracking reaction kinetics directly from data, achieving robust predictions under noise and sparsity while preserving mechanistic interpretability through gradient‐based analysis of temperature‐ and concentration‐dependent reaction rates ...
Souvik Ta +2 more
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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions [PDF]
, 2020 Biagio Cassano, Vladimir Lotoreichik
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Magnetic Resonance in Medicine, Volume 95, Issue 3, Page 1513-1527, March 2026.ABSTRACT Purpose Pediatric craniofacial imaging may involve examination of both the skull and brain tissues via CT and MRI, respectively. DREAMER (Dual Repetition and Echo Acquisition with Multi‐contrast Encoding and Reconstruction) simultaneously acquires solid‐ and soft‐tissue images, potentially providing a rapid, high‐resolution, and radiation‐free
Brian‐Tinh Duc Vu +8 more
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Formally self-adjoint quasi-differential operators and boundary-value problems
Electronic Journal of Differential Equations, 2013 We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval.
Andrii Goriunov +2 more
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Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects
Advanced Quantum Technologies, Volume 9, Issue 3, March 2026.Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold +3 more
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Using Self-adjoint Extensions in Shape Optimization [PDF]
, 2009 Self-adjoint extensions of elliptic operators are used to model the solution of a partial differential equation defined in a singularly perturbed domain. The asymptotic expansion of the solution of a Laplacian with respect to a small parameter e is first performed in a domain perturbed by the creation of a small hole.
Antoine Laurain, Katarzyna Szulc
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River Research and Applications, Volume 42, Issue 3, Page 580-593, March 2026.ABSTRACT Accurately predicting open‐channel flow under complex conditions remains a challenge. This study introduces a novel synergetic self‐adaptive data assimilation (DA) framework, using a proportional‐integral‐derivative (PID) controller to dynamically calibrate the bed roughness parameter k s in a shallow‐water equation model (via the momentum ...
M. Almetwally Ahmed, S. Samuel Li
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