Results 111 to 120 of about 61,924 (245)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
wiley +1 more source
Global existence of solution to a nonlocal parabolic problem modeling linear friction welding
, 2012 We study a nonlocal parabolic problem airing in the modeling of linear friction welding. Using some a priori estimates, we derive the global in time existence of solution of this nonlocal problem ...
Guo, Lin Yung-Jen +4 more
core +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
Deep‐DSP2: Cross‐Domain Deep Learning Direct MR Signal Prediction for RF Shielding‐Free MRI
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a deep learning approach to electromagnetic interference (EMI) elimination in the presence of dynamically varying electromagnetic coupling relationships (i.e., spectral domain transfer functions) between MRI receive and EMI sensing coils for RF shielding‐free ultra‐low‐field (ULF) MRI.
Jiahao Hu +3 more
wiley +1 more source
On the fractional Laplacian and nonlocal operators [PDF]
, 2018 The aim of this work is to study certain type of operators that have adquired a renewed relevance in the last decade. This wide class of operators, genericaly called nonlocal operators, appears naturally in many applications in physics, probability ...
Restrepo Montoya, Daniel Eduardo
core
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
Regularity properties of nonlocal minimal surfaces via limiting arguments
, 2013 We prove an improvement of flatness result for nonlocal minimal surfaces which is independent of the fractional parameter s when s → 1 -.As a consequence, we obtain that all the nonlocal minimal cones are flat and that all the nonlocal minimal surfaces ...
Caffarelli, Luis +5 more
core +1 more source
International Journal of Osteoarchaeology, EarlyView.ABSTRACT This osteobiography explores the life history of an adolescent who lived during the early‐mid Bronze Age (c. 1000–700 bce) and was buried at Nyaung'gan, a site in north‐central Myanmar. Burial 3b had multiple skeletal lesions, and their bones were covered in well‐remodeled subperiosteal new bone.
Anna Willis +3 more
wiley +1 more source
Quarterly Journal of the Royal Meteorological Society, EarlyView.The cell perturbation (CP) method mitigate mesoscale structural perturbations entering large‐eddy simulations (LES) from gray‐zone parent domains. The turbulent kinetic energy (TKE) bias‐filtering effect of CP increases with nesting ratio and is most pronounced under weakly convective conditions.
Jung‐Hee Ryu, Song‐Lak Kang
wiley +1 more source
Construction optimization and functional applications of fluorescent nanodiamonds
Responsive Materials, EarlyView.This review summarizes synthesis, surface modification and optical properties of fluorescent nanodiamonds. Their advances in quantum sensing, single‐photon emission and biomedicine are discussed, and existing challenges and future directions are presented.
Yunpeng Yang +11 more
wiley +1 more source