Results 41 to 50 of about 10,897,203 (248)

Remarks on the Blow-Up Solutions for the Critical Gross-Pitaevskii Equation

Abstract and Applied Analysis, 2013
This paper is concerned with the blow-up solutions of the critical Gross-Pitaevskii equation, which models the Bose-Einstein condensate. The existence and qualitative properties of the minimal blow-up solutions are obtained.
Xiaoguang Li, Chong Lai
doaj   +1 more source

Synthesis of Bulk Superconducting LiNbO2 Crystals Through CaH2 Reduction

Advanced Materials, EarlyView.
CaH2 reduction reconstructively transforms insulating LiNbO3 single crystals into superconducting bulk LiNbO2 with a critical temperature of Tc = 14.4 K. Scanning electron microscopy reveals large‐volume, high‐yield phase conversion. Magnetization measurements demonstrate a robust ∼ 77% Meissner shielding fraction, establishing bulk superconductivity ...
Ryan Paxson, Stephanie J. Hong, Bicky S. Moirangthem, Parham Kabirifar, Saya Takeuchi, Tianyu Li, Chih‐Yu Lee, Haotong Liang, Keenan Avers, Kamal R. Joshi, Amlan Datta, Makariy A. Tanatar, Shanta Saha, Joseph A. Dura, Peter Zavalij, Johnpierre Paglione, Ruslan Prozorov, Alexander J. Grutter, Efrain E. Rodriguez, Ichiro Takeuchi   +19 more
wiley   +1 more source

Numerical study on the blow-up rate to a quasilinear parabolic equation [PDF]

, 2017
summary:In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_{xx}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently ...
Ishiwata, Tetsuya, Ushijima, Takeo, Anada, Koichi   +2 more
core   +1 more source

Biomass DNA: An Emerging Building Block for Advanced Materials

Advanced Materials, EarlyView.
Biomass DNA is rapidly emerging from its traditional role as a genetic blueprint to serve as a versatile abundant, highly programmable polymeric building block. This review highlights the transformation of macroscopic bulk biomass DNA into next generation of functional materials, spanning from dynamic hydrogels, sustainable bioplastics, and high ...
Yuwei Hu, Itamar Willner, Li Niu
wiley   +1 more source

The Traveling Wave Solutions and Their Bifurcations for the BBM-Like B(m,n) Equations

Journal of Applied Mathematics, 2013
We investigate the traveling wave solutions and their bifurcations for the BBM-like B(m,n) equations ut+αux+β(um)x−γ(un)xxt=0 by using bifurcation method and numerical simulation approach of dynamical systems.
Shaoyong Li, Zhengrong Liu
doaj   +1 more source

Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data [PDF]

, 2009
summary:We consider solutions of quasilinear equations $u_{t}=\Delta u^{m} + u^{p}$ in $\mathbb R^{N}$ with the initial data $u_{0}$ satisfying $0 0$. It is known that if $01$, the blow-up set is empty.
Ling, Amy Poh Ai, Shimojō, Masahiko, Yoshikazu Giga, Noriaki Umeda   +3 more
core   +1 more source

Graphene Layers as Functional Biomaterials. From Fabrication and Characterization to Biological Applications

Advanced Materials Interfaces, EarlyView.
Graphene layers are fabricated on Cu foil and transferred onto glass substrates to form double‐ and multi‐layer G‐glass. Raman spectroscopy confirms structural integrity, while SEM and fluorescence microscopy reveal favorable adhesion and spreading of L‐929 fibroblast cells.
Mariana Mihaela Apostol, Issam Boukhoubza, Daniela Oprea, Iulia Corina Ciobotaru, Catalin Negrila, Ionut Enculescu, Ecaterina Andronescu, Teodor Adrian Enache, Elena Matei   +8 more
wiley   +1 more source

Dynamics of blow-up solutions for the Schrödinger–Choquard equation

Boundary Value Problems, 2018
In this paper, we study the dynamics of blow-up solutions for the nonlinear Schrödinger–Choquard equation iψt+Δψ=λ1|ψ|p1ψ+λ2(Iα∗|ψ|p2)|ψ|p2−2ψ. $$i\psi_{t}+\Delta \psi =\lambda_{1}\vert \psi \vert ^{p_{1}}\psi +\lambda_{2}\bigl(I _{\alpha }\ast \vert ...
Cunqin Shi, Kun Liu
doaj   +1 more source

Antibody‐Precomplexed Hemagglutinin Constructs Multivalently Bind Sialylated Glycan Receptors with Variable Valencies

Advanced Materials Interfaces, EarlyView.
Hemagglutinin precomplexation with antibodies (Abs) results in broad valency distributions, though it increases the total avidity from mM to nM to high nM. The valency distribution and the orientation of multivalent HA‐Ab complexes determine the extent of binding to different types of assays, whether the receptors are displayed in 2D or 3D.
Daniel Y. E. L. Tambuwun, María Ríos Carrasco, Elif Uslu, Geert‐Jan P. H. Boons, Nadia J. Mokiem, Albert J. R. Heck, Victor C. Yin, Robert P. de Vries, Jurriaan Huskens   +8 more
wiley   +1 more source

Blow-up in reaction-diffusion equations with exponential and power-type nonlinearities [PDF]

, 2011
In this dissertation we study blow-up phenomena in semilinear parabolic equations with both exponential and power-type nonlinearities. We study the behavior of the solutions as the blow-up moment in time and the blow-up point in space are approached ...
Pulkkinen, Aappo
core   +1 more source