Results 121 to 130 of about 8,038,377 (286)

Parabolic equations with nonlocal conditions

, 2020
. In this paper, we study a boundary value problem for a class of parabolic equations with nonlocal conditions.
Lazhar Bougoffa
core  

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, Yujiao Zhao, Alex T. L. Leong, Ed X. Wu   +3 more
wiley   +1 more source

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, Md Shumon Mia, Ahmed E. Elbanna, Jinhyun Choo   +3 more
wiley   +1 more source

Symbolic Algorithm for Solving Nonlocal Boundary Value Problems for Systems of Ordinary Integrodifferential Equations

Algorithms
Boundary value problems for systems of integrodifferential equations appear in many branches of science and engineering. Accuracy in modeling complex processes requires the specification of nonlocal boundary conditions, including multipoint and integral ...
Efthimios Providas, Ioannis N. Parasidis, Jeyhun E. Musayev   +2 more
doaj   +1 more source

Maximal regular boundary value problems in Banach-valued function spaces and applications

International Journal of Mathematics and Mathematical Sciences, 2006
The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
doaj   +1 more source

Experimental and Numerical Assessment of Progressive Damage in CF/PEEK Laminates Under Monotonic and Progressive Cyclic Four‐Point Bending

Polymer Composites, EarlyView.
Experimental four‐point bending of CF/PEEK laminates under monotonic and progressive cyclic loading is assessed using classical lamination theory and a calibrated Hashin progressive damage model. ABSTRACT Carbon‐fiber‐reinforced PEEK composites combine high specific strength, corrosion resistance, and damage tolerance, supporting their use in aerospace,
Pedro Antônio Castro Regio dos Santos, Thais da Costa Dias, Geovanio Lima de Oliveira, Hugo Francisco Lisboa Santos, Winston C. Gama, Maikson L. P. Tonatto   +5 more
wiley   +1 more source

Modulation of turbulence and mesoscale structure in nested large‐eddy simulations with a gray‐zone parent domain

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, Sen Zhang, Chao Chen, Wensi Yang, Zuanquan Chen, Rui Fan, Linlin Liu, Benjian Liu, Kang Liu, Zhibo Zhang, Bing Dai, Jiaqi Zhu   +11 more
wiley   +1 more source

Attention‐Based Spatial–Temporal Model for the Entire Indoor Space Temperature Estimation

IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
This study proposes a novel attention‐based spatial–temporal model for indoor temperature estimation, which integrates positional encoding and an attention mechanism with a fully connected neural network. By jointly capturing temporal dynamics and spatial correlations, the model enables high‐resolution estimation of temperature fields across the entire
Goro Terumichi, Jiarui Li, Tatsuji Kimura, Hiroaki Nishi   +3 more
wiley   +1 more source