Results 21 to 30 of about 362 (139)
Interplay between the Inverse Scattering Method and Fokas's Unified Transform with an Application [PDF]
It is known that the initial‐boundary value problem for certain integrable Partial Differential Equations (PDEs) on the half‐line with integrable boundary conditions can be mapped to a special case of the inverse scattering method (ISM) on the full‐line.
Vincent Caudrelier, Caudrelier, V
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ABSTRACT Real‐time insight into local chemistry is critical for reliable part quality in additive manufacturing, especially laser powder bed fusion (PBF‑LB/M), where rapid thermal cycles and localized evaporation can undermine part performance. Optical emission spectroscopy (OES) offers non‑intrusive, in situ plume monitoring, but detection geometry ...
Philipp Gabriel +4 more
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The scattering of baby Skyrmions off potential obstructions, in a Landau-Lifshitz model [PDF]
The dynamics of baby skyrmions of the (2+1) new baby Skyrme model, in a Landau - Lifshitz model, was studied in the presence of various potential obstructions of varying geometries.
Collins, Jonathan
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Inverse spectral and scattering theory: an introduction
The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.
Isozaki, Hiroshi
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Data‐Efficient Electromagnetic Surrogate Solver Through Dissipative Relaxation Transfer Learning
Dissipative relaxation transfer learning (DIRTL) enables data‐efficient training of electromagnetic surrogate solvers by pretraining data generated with artificial material loss before fine‐tuning on target lossless data. The framework suppresses resonant outlier effects during early training, allowing effective adaptation to high‐amplitude resonances ...
Sunghyun Nam +2 more
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ABSTRACT Oxygen supply is a critical parameter in 3D cell cultivation using bioreactors. Since bioreactor designs often prioritise practical constraints, understanding the oxygen supply dynamics of the media is crucial for achieving either uniform or spatially controlled oxygen delivery.
Franziska Alt +4 more
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This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu +8 more
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Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs
This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen +6 more
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Linear and nonlinear non-Fredholm operators and their applications.
In this survey we discuss the recent results on the existence in the sense of sequences of solutions for certain elliptic problems containing the non-Fredholm operators. First of all, we deal with the solvability in the sense of sequences for some fourth
Efendiyev, M.A., Vougalter, V.
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