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Partial Differential Equations as Three-Dimensional Inverse Problem of Moments

Journal of Mathematics and System Science 2014年第10期4卷 657-666页

作者： Maria B. Pintarelli Fernando Vericat Grupo de Aplicacionesmatematicas y Estadisticas de la Facultad de Ingenieria (GAMEFI) UNLP and Departamento de Matematica Facultad de Ciencias Exactas Universidad Nacional de La Plata Grupo de Aplicacionesmatematicas y Estadisticas de la Facultad de Ingenieria (GAMEFI) UNLP and Instituto de Fisica de Liquidos y SistemasBiologicos (IFL YSIB) CONICET La Plata-UNLP Argentina

We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region 1 1 2 2 3 3 ( ) ( ) ( ) E a b a b a b =, ×, ×,. We will see that with a common procedure in all cases, we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.

关键词：二阶偏微分方程反问题 Fredholm积分方程三维泊松方程克莱因偏导数近似解

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具有无界非线性项的广义逐段常变量微分方程拓扑等价函数的正则性

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中国科学：数学 2020年第6期50卷 847-872页

作者：邹长武夏永辉 Manuel Pinto 福州大学数学与计算机科学学院福州350116 浙江师范大学数学与计算机科学学院金华321004 departamento de matematica Universidad de ChileCasilla 653Chile

关于微分方程的拓扑等价以及拓扑等价函数的正则性一直是微分方程研究的焦点之一.当非线性项有界时,已经有很多学者证明了微分方程的拓扑等价函数是H?lder正则的.然而,当非线性项无界时,拓扑等价的正则性尚无突破性结果.在无界情形下, ... 详细信息

关于微分方程的拓扑等价以及拓扑等价函数的正则性一直是微分方程研究的焦点之一.当非线性项有界时,已经有很多学者证明了微分方程的拓扑等价函数是H?lder正则的.然而,当非线性项无界时,拓扑等价的正则性尚无突破性结果.在无界情形下, Zou和Shi(2017)得到了拓扑线性化的条件.除Zou和Shi(2017)给出的条件外,在附加的一个前提下,本文证明拓扑等价函数的H?lder正则性.事实上,当系统是有界时,系统线性化的条件足以保证其H?lder正则性.但是,当系统是无界时,这个附加条件是必不可少的.本文举例说明这个事实.这是首篇考虑无界系统拓扑等价H?lder正则的文章.

关键词：微分方程逐段常变量微分方程正则性

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Notes,outline and divergence times of Basidiomycota

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Fungal Diversity 2019年第6期99卷 105-367页

作者： Mao-Qiang He Rui-Lin Zhao Kevin D.Hyde Dominik Begerow Martin Kemler Andrey Yurkov Eric H.C.McKenzie Olivier Raspe Makoto Kakishima Santiago Sanchez-Ramırez Else C.Vellinga Roy Halling Viktor Papp Ivan V.Zmitrovich Bart Buyck Damien Ertz Nalin N.Wijayawardene Bao-Kai Cui Nathan Schoutteten Xin-Zhan Liu Tai-Hui Li Yi-Jian Yao Xin-Yu Zhu An-Qi Liu Guo-Jie Li Ming-Zhe Zhang Zhi-Lin Ling Bin Cao Vladimir Antonin Teun Boekhout Bianca denise Barbosa da Silva Eske de Crop Cony decock Balint Dima Arun Kumar Dutta Jack W.Fell Jozsef Geml Masoomeh Ghobad-Nejhad Admir J.Giachini Tatiana B.Gibertoni Sergio P.Gorjon Danny Haelewaters Shuang-Hui He Brendan P.Hodkinson Egon Horak Tamotsu Hoshino Alfredo Justo Young Woon Lim Nelson Menolli Jr Armin Mesic Jean-Marc Moncalvo Gregory M.Mueller La szlo G.Nagy RHenrik Nilsson Machiel Noordeloos Jorinde Nuytinck Takamichi Orihara Cheewangkoon Ratchadawan Mario Rajchenberg Alexandre G.S.Silva-Filho Marcelo Aloisio Sulzbacher Zdenko Tkalcec Ricardo Valenzuela Annemieke Verbeken Alfredo Vizzini Felipe Wartchow Tie-Zheng Wei Michael WeiB Chang-Lin Zhao Paul M.Kirk State Key Laboratory of Mycology Institute of MicrobiologyChinese Academy of SciencesBeijing 100101People’s Republic of China department of Entomology and Plant Pathology Faculty of AgricultureChiang Mai UniversityChiang Mai 50200Thailand Center of Excellence in Fungal Research Mae Fah Luang UniversityChiang Rai 57100Thailand College of Life Sciences University of Chinese Academy of SciencesHuairou DistrictBeijing 100408People’s Republic of China Ruhr-Universitat Bochum AG GeobotanikND03UniversitatsstraBe 15044801 BochumGermany Leibniz Institute DSMZ-German Collection of Microorganisms and Cell Cultures InhoffenstraBe 7B38124 BrunswickGermany Manaaki Whenua-Landcare Research Private Bag 92170AucklandNew Zealand Research department Meise Botanic GardenNieuwelaan 381860 MeiseBelgium Service General de l'Enseignement superieur et de la Recherche scientifique Federation Wallonie-BruxellesLavallee 11080 BrusselsBelgium University of Tsukuba TsukubaIbaraki 305-8572Japan department of Ecology and Evolutionary Biology University of Toronto25 Willcocks St.TorontoON M5S 3B2Canada Berkeley USA Institute of Systematic Botany The New York Botanical GardenBronxNY 10458-5126USA department of Botany Szent Istvan University1518 BudapestHungary Komarov Botanical Institute Russian Academy of SciencesProfessor Popov st.2Saint PetersburgRussia 197376 Institut pour Systematique Ecologie Biodiversite(ISYEB UMR 7205) Sorbonne universiteMuseum National d’Histoire Naturelle CP 39CNRSDepartement Origines et Evolution12 Rue Buffon75005 ParisFrance Institute of Microbiology Beijing Forestry UniversityBeijing 100083People’s Republic of China department of Biology Research Group MycologyGhent UniversityK.L.Ledeganckstraat 359000 GhentBelgium State Key Laboratory of Applied Microbiology Southern China Guangdong Provincial Key Laboratory of Microbial Culture Collection and ApplicationGuangdong Institute of MicrobiologyGuangzhou 510070People’s Republic of China department of Botany Moravian Mu

The Basidiomycota constitutes a major phylum of the kingdom Fungi and is second in species numbers to the Ascomycota.The present work provides an overview of all validly published,currently used basidiomycete genera to date in a single document.An outline of all genera of Basidiomycota is provided,which includes 1928 currently used genera names,with 1263 synonyms,which are distributed in 241 families,68 orders,18 classes and four subphyla.We provide brief notes for each accepted genus including information on classification,number of accepted species,type species,life mode,habitat,distribution,and sequence information.Furthermore,three phylogenetic analyses with combined LSU,SSU,5.8s,rpb1,rpb2,and ef1 datasets for the subphyla Agaricomycotina,Pucciniomycotina and Ustilaginomycotina are conducted,respectively.Divergence time estimates are provided to the family level with 632 species from 62 orders,168 families and 605 genera.Our study indicates that the divergence times of the subphyla in Basidiomycota are 406-430 Mya,classes are 211-383 Mya,and orders are 99-323 Mya,which are largely consistent with previous studies.In this study,all phylogenetically supported families were dated,with the families of Agaricomycotina diverging from 27-178 Mya,Pucciniomycotina from 85-222 Mya,and Ustilaginomycotina from 79-177 Mya.Divergence times as additional criterion in ranking provide additional evidence to resolve taxonomic problems in the Basidiomycota taxonomic system,and also provide a better understanding of their phylogeny and evolution.

关键词： Classification Molecular clock Fungi Systematics Taxonomy

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Observatory science with eXTP

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Science China(Physics,Mechanics & Astronomy) 2019年第2期62卷 97-138页

作者： Jean J.M.in 't Zand Enrico Bozzo JinLu Qu Xiang-Dong Li Lorenzo Amati Yang Chen Immacolata Donnarumma Victor Doroshenko Stephen A.Drake Margarita Hernanz Peter A.Jenke Thomas J.Maccarone Simin Mahmoodifar Domitilla de Martino Alessandra de Rosa Elena M.Rossi Antonia Rowlinson Gloria Sala Giulia Stratta Thomas M.Tauris Joern Wilms XueFeng Wu Ping Zhou Iván Agudo Diego Altamirano Jean-Luc Atteia Nils A.andersson M.Cristina Baglio David R.Ballantyne Altan Baykal Ehud Behar Tomaso Belloni Sudip Bhattacharyya Stefano Bianchi Anna Bilous Pere Blay Joao Braga Sφren Brandt Edward F.Brown Niccolo Bucciantini Luciano Burderi Edward M.Cackett Riccardo Campana Sergio Campana Piergiorgio Casella Yuri Cavecchi Frank Chambers Liang Chen Yu-Peng Chen Jér?me Chenevez Maria Chernyakova ChiChuan Jin Riccardo Ciolfi Elisa Costantini Andrew Cumming Antonino D'Aì Zi-Gao Dai Filippo D'Ammando Massimiliano de Pasquale Nathalie degenaar Melania del Santo Valerio D'Elia Tiziana Di Salvo Gerry Doyle Maurizio Falanga XiLong Fan Robert D.Ferdman Marco Feroci Federico Fraschetti Duncan K.Galloway Angelo F.Gambino Poshak Gandhi MingYu Ge Bruce Gendre Ramandeep Gill Diego G?tz Christian Gouiffès Paola Grandi Jonathan Granot Manuel Güdel Alexander Heger Craig O.Heinke Jeroen Homan Rosario Iaria Kazushi Iwasawa Luca Izzo Long Ji Peter G.Jonker Jordi José Jelle S.Kaastra Emrah Kalemci Oleg Kargaltsev Nobuyuki Kawai Laurens Keek Stefanie Komossa Ingo Kreykenbohm Lucien Kuiper devaky Kunneriath Gang Li En-Wei Liang Manuel Linares Francesco Longo FangJun Lu Alexander A.Lutovinov denys Malyshev Julien Malzac Antonios Manousakis Ian McHardy Missagh Mehdipour YunPeng Men Mariano Méndez Roberto P.Mignani Romana Mikusincova M.Coleman Miller Giovanni Miniutti Christian Motch Joonas Nättilä Emanuele Nardini Torsten Neubert Paul T.O'Brien Mauro Orlandini Julian P.Osborne Luigi Pacciani Stéphane Paltani Maurizio Paolillo Iossif E.Papadakis Biswajit Paul Alberto Pellizzoni Uria Peretz Miguel A.Pérez Torres Emanuele Perinati Chanda Prescod-Weinstein Pablo Reig SRON Netherlands Institute for Space Research department of Astronomy University of Geneva Key Laboratory for Particle Astrophysics Institute of High Energy PhysicsChinese Academy of Sciences School of Astronomy and Space Science Nanjing University INAF-IASF Bologna ASI Via del Politecnico snc INAF-Istituto di Astrofisica e Planetologie Spaziali Institut für Astronomie und Astrophysik Tübingen Universit?t Tübingen NASA Goddard Space Flight Center ICREA&Institute of Space Sciences(IEEC-CSIC) Campus UABCarrer de Can Magrans CSPAR SPA University of Alabama in Huntsville department of Physics Texas Tech University INAF Osservatorio Astronomico di Capodimonte Leiden Observatory Leiden University Anton Pannekoek Institute University of Amsterdam ASTRON Netherlands Institute for Radio Astronomy Universitat Politecnica de Catalunya(UPC-IEEC) Universitádegli Studi di Urbino‘Carlo Bo’ Max-Planck-Institut für Radioastronomie Dr.Karl-Remeis-Sternwarte and Erlangen Centre for Astroparticle Physics(ECAP) Friedrich Alexander Universit?t Erlangen-Nurnberg Purple Mountain Observatory Chinese Academy of Sciences Instituto de Astrofysíca de Andalucia-CSIC department of Physics and Astronomy University of Southampton IRAP Universitéde ToulouseCNRSUPSCNES Mathematical Sciences and STAG Research Centre University of Southampton New York University Abu Dhabi Center for Relativistic Astrophysics School of PhysicsGeorgia Institute of Technology Physics department Middle East Technical University department of Physics Technion-Israel Institute of Technology INAF Osservatorio Astronomico di Brera Tata Institute of Fundamental Research Dipartimento di matematica e Fisica Universitàdegli Studi Roma Tre Instituto de Astrofísica de Canarias Instituto Nacional de Pesquisas Espaciais-INPE National Space Institute Technical University of Denmark(DTU Space) department of Physics and Astronomy Michigan State University INAF Osservatorio Astrofisico di Arcetri Dipartimento di Fisica Universitádegli Studi di Cagliari department of Physics and A

In this White Paper we present the potential of the enhanced X-ray Timing and Polarimetry(eXTP) mission for studies related to Observatory Science targets. These include flaring stars, supernova remnants, accreting white dwarfs, low and high mass X-ray binaries, radio quiet and radio loud active galactic nuclei, tidal disruption events, and gamma-ray bursts. eXTP will be excellently suited to study one common aspect of these objects: their often transient nature. developed by an international Consortium led by the Institute of High Energy Physics of the Chinese Academy of Science, the eXTP mission is expected to be launched in the mid 2020s.

关键词： space research in struments nuclear astrophysics flare stars accretion and accretion disks mass loss and stellar winds cataclysmic binaries X-ray binaries supernova remnants active galactic nuclei X-ray bursts gamma-ray bursts gravitational waves

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