作者：Norman Noguera , Ademir Pastor 来源：[J].Dynamics of Partial Differential Equations(IF 0.765), 2020, Vol.17 (1)波士顿国际出版社 摘要：In this work we give a sharp criterion for the global well-posedness, in the energy space, for a system of nonlinear Schrödinger equations with quadratic interaction in dimension $n = 5$. The criterion is given in terms of the charge and energy of the ground states associate...
 作者：Jishan Fan , Lulu Jing , Gen Nakamura ... 来源：[J].Dynamics of Partial Differential Equations(IF 0.765), 2020, Vol.17 (1)波士顿国际出版社 摘要：In this paper we consider the 3D compressible MHD system in a bounded domain. We first prove a regularity criterion and then use it and the bootstrap argument to show the well-posedness of global small solutions. It is important to point out that we do not need the smallness of i...
 作者：G. Deugoué , A. Ndongmo Ngana , T. Tachim Medjo 来源：[J].Dynamics of Partial Differential Equations(IF 0.765), 2020, Vol.17 (1)波士顿国际出版社 摘要：We study in this article a stochastic version of a well-known diffuse interface model. The model consists of the Navier–Stokes equations for the average velocity, nonlinearly coupled with a nonlocal Cahn–Hilliard equation for the order (phase) parameter. The system describes...
 作者：Qixiang Yang 来源：[J].Dynamics of Partial Differential Equations(IF 0.765), 2020, Vol.17 (1)波士顿国际出版社 摘要：For incompressible Navier–Stokes equations, Leray believed that, for a blow up solution, the initial data and the solution should both have the same special structure for different time and proposed to consider self-similar solutions. Necas–Ruzicka–Sverak proved that se...
 作者：Alexander A. Voronov 来源：[J].Pure and Applied Mathematics Quarterly(IF 0.718), 2020, Vol.16 (1)波士顿国际出版社 摘要：A quantization of classical deformation theory, based on the Maurer–Cartan Equation $dS + \frac{1}{2} [S, S] = 0$ in dg‑Lie algebras, a theory based on the Quantum Master Equation $dS + \hslash \Delta S + \frac{1}{2} \lbrace S, S \rbrace = 0$ in dg‑BV‑algebras, is propo...
 作者：Boris Dubrovin , Di Yang , Don Zagier 来源：[J].Pure and Applied Mathematics Quarterly(IF 0.718), 2020, Vol.16 (1)波士顿国际出版社 摘要：A conjectural formula for the $k$-point generating function of Gromov–Witten invariants of the Riemann sphere for all genera and all degrees was proposed in [11]. In this paper, we give a proof of this formula together with an explicit analytic (as opposed to formal) express...
 作者：Matilde Marcolli 来源：[J].Pure and Applied Mathematics Quarterly(IF 0.718), 2020, Vol.16 (1)波士顿国际出版社 摘要：This paper is based on the author’s talk at the Arbeitstagung 2017. It discusses some general approaches to the construction of classical and quantum holographic codes on Bruhat–Tits trees and buildings and on Drinfeld symmetric spaces, in the context of the $p$-adic AdS/CFT...
 作者：V. V. Shokurov 来源：[J].Pure and Applied Mathematics Quarterly(IF 0.718), 2020, Vol.16 (1)波士顿国际出版社 摘要：For a complete algebraic space with a nef quasipolarization and its closed subspace which includes the exceptional locus of the quasipolarization, the paper establishes the existence of an infinitesimal neighborhood of the subspace such that for any quasipolarized morphism of the...
 作者：Shuqin Fan , Wei Zhao , Alan T. K. Wan ... 来源：[J].Statistics and Its Interface(IF 0.396), 2020, Vol.13 (2)波士顿国际出版社 摘要：This paper considers a composite nonparametric product limit estimator for estimating the distribution of survival times when the data are length-biased and right censored. Our method takes into account auxiliary information that frequently arises in survival analysis, and is eas...
 作者：Joachim Kock 来源：[J].Communications in Number Theory and Physics(IF 1.394), 2020, Vol.14 (1)波士顿国际出版社 摘要：This paper traces a straight line from classical Möbius inversion to Hopf-algebraic perturbative renormalisation. This line, which is logical but not entirely historical, consists of just a few main abstraction steps, and some intermediate steps dwelled upon for mathematical...