Results 111 to 120 of about 8,772,119 (248)

On harmonic functions satisfying nonlocal boundary conditions [PDF]

, 1994
Вивчаються гармонічні в смузі функції, які задовольняють нелокальні граничні умови. Знаходяться умови на коефіцієнти граничних умов, при яких справедлива теорема єдиності невід'ємних розв'язків.
Фирдман, А.И., Эйдельман, С.Д.   +1 more
core   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

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, S. Moyo, P. G. L. Leach   +2 more
wiley   +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

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

Nonlinear Analysis, 2006
The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
doaj   +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

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

PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A HYPERBOLIC EQUATION

Vestnik of Samara University. Natural Science Series, 2017
In this paper we consider an initial-boundary problem with nonlocal boundary condition for one-dimensional hyperbolic equation. Nonlocal condition is dynamic so as represents a relation between values of derivatives with respect of spacial variables of a required solution, first-order derivatives with respect to time variable and an integral of a ...
openaire   +3 more sources

Frequency spectra of nonlocal Timoshenko beams and an effective method of determining nonlocal effect

, 2017
Three critical frequencies independent of boundary conditions together with a critical length, which determine the vibration behaviors of a nonlocal Timoshenko beam, are identified.
张吟, Zhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China., Yin Zhang   +2 more
core   +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