Results 51 to 60 of about 48,064 (258)

Porous Three-Dimensional Scaffold Generation for 3D Printing

Mathematics, 2020
In this paper, we present an efficient numerical method for arbitrary shaped porous structure generation for 3D printing. A phase-field model is employed for modeling phase separation phenomena of diblock copolymers based on the three-dimensional ...
Chaeyoung Lee, Darae Jeong, Sungha Yoon, Junseok Kim   +3 more
doaj   +1 more source

Effects of Long-Range Nonlinear Interactions in Double-Well Potentials [PDF]

, 2010
We consider the interplay of linear double-well-potential (DWP) structures and nonlinear longrange interactions of different types, motivated by applications to nonlinear optics and matter waves.
Akhmediev, Albiez, Albuch, Ananikian, Asad-uz-Zaman, B.A. Malomed, Baizakov, Bang, Birnbaum, Birnbaum, Briedis, C. Wang, Cambournac, Chu, Cuevas, D.J. Frantzeskakis, Deiglmayr, Dounas-Frazer, Giovanazzi, Gligorić, Griesmaier, Griesmaier, Griesmaier, Grillakis, Kapitula, Kevrekidis, Kirr, Kivshar, Królikowski, Köhler, Lahaye, Lahaye, Lang, Löw, Mahmud, Maimistov, Malomed, Marinescu, Mayteevarunyoo, Mazets, Morsch, Nath, Nath, Ospelkaus, Ostrovskaya, P.G. Kevrekidis, Paré, Pedri, Pethick, Pitaevskii, Raghavan, Raghavan, Rotschild, Sacchetti, Sage, Shchesnovich, Sinha, Smerzi, Snyder, Stuhler, Sulem, Theocharis, Tikhonenkov, Tikhonenkov, Vakhitov, Wang, Werner, Wyller, Xiong, Zibold, Ziń   +70 more
core   +3 more sources

Spike solutions to a nonlocal differential equation

Communications on Pure & Applied Analysis, 2006
In this paper we consider a nonlocal differential equation, which is a limiting equation of one dimensional Gierer-Meinhardt model. We study the existence of spike steady states and their stability. We also construct a single-spike quasi-equilibrium solution and investigate the dynamics of spike-like solutions.
Changfeng Gui, Zhenbu Zhang
openaire   +2 more sources

Numerical Exploration of Thermal Shock Resistance in MgO–C Refractories

Advanced Engineering Materials, EarlyView.
A mesostructure‐resolved numerical framework is developed to evaluate the thermal shock resistance of MgO–C refractories. By modeling interface debonding under rapid temperature changes and introducing a modified thermal shock parameter that accounts for mesocracks, the study shows how graphite content and aggregate size influence thermal shock ...
Jishnu Vinayak Gopi, Stephan Roth, Christos G. Aneziris, Bjoern Kiefer   +3 more
wiley   +1 more source

Concentrated Couple in a Plane and in a Half-Plane in the Framework of Fractional Nonlocal Elasticity

Applied Sciences
In nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral form, with the weight function, referred to as the nonlocality kernel, often being the Green’s function for the partial differential equation. In this paper,
Yuriy Povstenko, Tamara Kyrylych, Bożena Woźna-Szcześniak, Ireneusz Szcześniak, Andrzej Yatsko   +4 more
doaj   +1 more source

Nonlocal Problems for Fractional Differential Equations via Resolvent Operators [PDF]

International Journal of Differential Equations, 2013
We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method. Based on this result, we derive the existence of mild solutions for nonlocal fractional differential equations when the nonlocal item is assumed to be Lipschitz continuous and ...
Fan, Zhenbin, Mophou, Gisèle
openaire   +3 more sources

On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations

Journal of Function Spaces, 2022
This research paper is devoted to investigating two classes of boundary value problems for nonlinear Atangana–Baleanu-type fractional differential equations with Atangana–Baleanu fractional integral conditions. The applied fractional derivatives work as the nonlocal and nonsingular kernel. Upon using Krasnoselskii’s and Banach’s fixed point techniques,
Mohammed A. Almalahi, Satish K. Panchal, Mohammed S. Abdo, Fahd Jarad   +3 more
openaire   +3 more sources

Imaging of Biphoton States: Fundamentals and Applications

Advanced Functional Materials, EarlyView.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source

On the complete integrability and linearization of nonlinear ordinary differential equations - Part II: Third order equations [PDF]

, 2005
We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals of motion associated with the given equation so that ...
Chandrasekar, V. K., Lakshmanan, M., Senthilvelan, M.   +2 more
core   +2 more sources

Algorithmic Design of Disordered Networks With Arbitrary Coordination: Application to Biophotonics

Advanced Functional Materials, EarlyView.
Predictive Design of Disordered Networks: Disordered network‐like morphologies are abundant in nature, from cytoskeletal networks to bone structures and chalcogenide glasses. These structures are naturally hard to characterize. A new algorithmic tool extends the established Wooten–Weaire–Winer (WWW) algorithm to valencies above 4.
Florin Hemmann, Vincent Glauser, Ullrich Steiner, Matthias Saba   +3 more
wiley   +1 more source