supported by National Natural Science Foundation of China(Grant Nos.12271104,51879045,12247182).
In this paper,we extend the δ^(-)-steepest descent method to study the Cauchy problem for the nonlocal nonlinear Schrödinger(NNLS)equation with weighted Sobolev initial data iqt+qxx+2σq^(2)(x,t)q(−x,t)=0,q(x,0)=q0(x...
Supported by National Science Foundation of China (No. 81828014)。
Objective: To study the in vitro and in vivo antitumor effects of the polysaccharide of Alocasia cucullata(PAC) and the underlying mechanism. Methods: B16F10 and 4T1 cells were cultured with PAC of 40 μg/m L, and PAC...
In this article we consider the(complex)Ginzburg-Landau equation,we discretize in time using the implicit Euler scheme,and with the aid of the discrete Gronwall lemma and of the discrete uniform Gronwall lemma we prov...
supported by Zhejiang Lingyan Research Plan Program(Grant No.2022C020202);Hangzhou Initiative Design for Agriculture and Social Development Research Program(Grant No.20190101A07);Zhejiang A&F University Scientific Research Development Fund Project(Grant No.2019FR014)in China。
Rice quality is influenced by many factors,viz.,temperature,humidity,atmosphere and storage time.To uncover quality variations of rice after postharvest,we estimated the physicochemical properties and volatile compoun...
the National Key Research and Development Program of China(Grant No.2022YFE0104500);the National Natural Science Foundation of China(Grant No.52271271);the Major Science and Technology Project of the Ministry of Water Resources of the People’s Republic of China(Grant No.SKS-2022025).
Spectral bandwidth is a relevant parameter of water wave evolution and is commonly used to represent the number of wave components involved in wave-wave interactions.However,whether these two parameters are equivalent...
The authors acknowledge financial support from NRF CRP on Oxide Electronics on Silicon Beyond Moore(NRF-CRP15-2015-01);the National Natural Science Foundation of China(Nos.U2032147,21872100,and 62004128);Singapore MOE Grant T2EP50220-0001,MOE AcRF Tier 1 Startup grant R-284-000-179-133;the Science and Engineering Research Council of A*STAR(Agency for Science,Technology and Research)Singapore,under Grant No.A20G9b0135;the Fundamental Research Foundation of Shenzhen(No.JCYJ20190808152607389).
Two-dimensional(2D)transition metal dichalcogenides(TMDs)are considered to be promising building blocks for the next generation electronic and optoelectronic devices.Various doping schemes and work function engineerin...
supported by the National Natural Science Foundation of China(Nos.51879045,1202624,118013233,11671095)。
In this paper,the authors apply■steepest descent method to study the Cauchy problem for the derivative nonlinear Schrödinger equation with finite density type initial data iqt+qxx+1(lq|^(2)q)_(x)=0,q(x,0)=q0(x),where...
supported by the Natural Science Foundation of China under Grants 11801280,12071419;the Natural Science Foundation of Jiangsu Province under Grant BK20180780.
In this paper,we investigate the long-time near-conservations of energy and kinetic energy by the widely used exponential integrators to highly oscillatory conservative systems.The modulated Fourier expansions of two ...
the National Natural Science Foundation of China(11971344);Jiangsu Graduate Science Innovation Project(KYCX20-2746)。
We study the long-time asymptotic behaviour of viscosity solutions u(x,t)of the Hamilton-Jacobi equation u_(t)(x,t)+H(x,u(x,t),Du(x,t))=0 in T^(n)×(0,∞)with a PDE approach,where H=H(x,u,p)is coercive in p,non-decrea...
supported by the Alexander von Humboldt Foundation。
For an integrator when applied to a highly oscillatory system,the near conservation of the oscillatory energy over long times is an important aspect.In this paper,we study the long-time near conservation of oscillator...