Search results for: Yixian GAO

Items from 1 to 10 out of 10 results

article

Quasi‐periodic traveling waves for a class of damped beams on rectangular tori

Bochao Chen, Yixian Gao, Juan J. Nieto

Mathematical Methods in the Applied Sciences > 45 > 4 > 1879 - 1903

This article concerns a class of beam equations with damping on rectangular tori. When the generators satisfy certain relationship, by excluding some values of two model parameters, we prove that such models admit small amplitude quasi‐periodic traveling wave solutions with two frequencies, which are continuations of two rotating wave solutions with one frequency. The result holds not only for a rational...

article

Analysis of time‐domain elastic scattering by an unbounded structure

Yixian Gao, Peijun Li, Yong Li

Mathematical Methods in the Applied Sciences > 41 > 16 > 7032 - 7054

This paper is devoted to the analysis of the time‐domain elastic wave scattering problem in an unbounded structure. The transparent boundary condition is developed to reformulate the scattering problem into an initial‐boundary value problem in an infinite slab. The well posedness and stability are established for the reduced problem in both the frequency and time domains. Our proofs are based on the...

article

The existence of periodic solutions for nonlinear beam equations on $T^{d}$ by a para‐differential method

Bochao Chen, Yong Li, Yixian Gao

Mathematical Methods in the Applied Sciences > 41 > 7 > 2546 - 2574

This paper focuses on the construction of periodic solutions of nonlinear beam equations on the d‐dimensional tori. For a large set of frequencies, we demonstrate that an equivalent form of the nonlinear equations can be obtained by a para‐differential conjugation. Given the nonresonant conditions on each finite dimensional subspaces, it is shown that the periodic solutions can be constructed for...

article

Time-Domain Analysis of an Acoustic–Elastic Interaction Problem

Gang Bao, Yixian Gao, Peijun Li

Archive for Rational Mechanics and Analysis > 2018 > 229 > 2 > 835-884

Consider the scattering of a time-domain acoustic plane wave by a bounded elastic obstacle which is immersed in a homogeneous air or fluid. This paper concerns the mathematical analysis of such a time-domain acoustic–elastic interaction problem. An exact transparent boundary condition (TBC) is developed to reduce the scattering problem from an open domain into an initial-boundary value problem in...

article

Analysis of time-domain scattering by periodic structures

Yixian Gao, Peijun Li

Journal of Differential Equations > 2016 > 261 > 9 > 5094-5118

This paper is devoted to the mathematical analysis of a time-domain electromagnetic scattering by periodic structures which are known as diffraction gratings. The scattering problem is reduced equivalently into an initial-boundary value problem in a bounded domain by using an exact transparent boundary condition. The well-posedness and stability of the solution are established for the reduced problem...

article

Roles of Biomolecules in the Biosynthesis of Silver Nanoparticles: Case of Gardenia jasminoides Extract

Fenfen LÜ, Yixian GAO, Jiale HUANG, Daohua SUN, more

Chinese Journal of Chemical Engineering > 2014 > 22 > 6 > 706-712

Rapid development of biosynthesis of metal nanoparticles using plants has attracted extensive interests to further investigate this novel and eco-friendly method. In the biosynthesis process, the plant may act as reducing agent, capping agent or shape directing agent. However, identifying specific roles of various components in the plant is challenging. In this study, we use biosynthesis of silver...

article

Quantitative nucleation and growth kinetics of gold nanoparticles via model-assisted dynamic spectroscopic approach

Yao Zhou, Huixuan Wang, Wenshuang Lin, Liqin Lin, more

Journal of Colloid And Interface Science > 2013 > 407 > Complete > 8-16

Lacking of quantitative experimental data and/or kinetic models that could mathematically depict the redox chemistry and the crystallization issue, bottom-to-up formation kinetics of gold nanoparticles (GNPs) remains a challenge. We measured the dynamic regime of GNPs synthesized by l-ascorbic acid (representing a chemical approach) and/or foliar aqueous extract (a biogenic approach) via in situ spectroscopic...

article

Transfer of Biosynthesized Gold Nanoparticles from Water into an Ionic Liquid Using Alkyltrimethyl Ammonium Bromide: An Anion-Exchange Process

Yao Zhou, Wenshuang Lin, Huixuan Wang, Qingbiao Li, more

Langmuir > 2011 > 27 > 1 > 166 - 169

article

Biosynthesis of Gold Nanoparticles by Foliar Broths: Roles of Biocompounds and Other Attributes of the Extracts

Yao Zhou, Wenshuang Lin, Jiale Huang, Wenta Wang, more

Nanoscale Research Letters > 2010 > 5 > 8 > 1351-1359

Biosynthesis of nanoparticles has arisen as a promising alternative to conventional synthetic methodologies owing to its eco-friendly advantages, and the involved bioprotocol still needs further clarification. This research, for the first time from the standpoint of statistics, confirmed an electrostatic force or ionic bond-based interaction between the chloroauric ions and the involved bioconstituents...

article

Invariant tori of nonlinear Schrödinger equation

Yixian Gao, Yong Li, Jin Zhang

Journal of Differential Equations > 2009 > 246 > 8 > 3296-3331

In this paper, we consider one-dimensional nonlinear Schrödinger equation iut−uxx+V(x)u+f(|u|2)u=0 on [0,π]×R under the boundary conditions a1u(t,0)−b1ux(t,0)=0, a2u(t,π)+b2ux(t,π)=0, ai2+bi2≠0, for i=1,2. It is proved that for a prescribed and analytic positive potential V(x), the above equation admits small-amplitude quasi-periodic solutions corresponding to d-dimensional invariant tori of the associated...

Filter options

Publication date

Last 3 years (1)

Close

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

From:

To:
Set your own date range

Keywords

A PRIORI ESTIMATES (2)
BEAM EQUATIONS (2)
GOLD NANOPARTICLES (2)
BIOCOMPOUNDS (1)
BIOSYNTHESIS (1)
BIOSYNTHESIS (1)
CRYSTALLIZATION (1)
DAMPING (1)
DIFFRACTION GRATINGS (1)
DIRICHLET–NEUMANN BOUNDARY CONDITIONS (1)
FOLIAR BROTHS (1)
GENERAL BOUNDARY CONDITIONS (1)
INVARIANT TORI (1)
ITERATION SCHEME (1)
KINETICS (1)
LAPLACE TRANSFORM (1)
MODEL (1)
NANOPARTICLE (1)
NANOWIRE (1)
NEUMANN BOUNDARY CONDITIONS (1)
PARA‐DIFFERENTIAL CONJUGATION (1)
PERIODIC SOLUTIONS (1)
QUASI‐PERIODIC TRAVELING WAVES (1)
RECTANGULAR TORI (1)
REDOX (1)
SCHRÖDINGER EQUATION (1)
SILVER (1)
STABILITY (1)
STATISTICAL (1)
TIME-DOMAIN MAXWELL'S EQUATIONS (1)
TIME‐DOMAIN ELASTIC WAVE EQUATION (1)
UNBOUNDED ROUGH SURFACES (1)
WELL-POSEDNESS AND STABILITY (1)
more

Data set

Elsevier (4)
Wiley (3)
Springer (2)
ACS (1)

INFONA - science communication portal

Search results for: Yixian GAO

Add recipient

Sending message cancelled

Are you sure you want to cancel sending this message?

Send message

Filter options

Publication date

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

Keywords

Data set

Journal

Reporting an error / abuse

Sending the report failed

Accessibility options