Time-dependent singularities in the Navier-Stokes system
Time-dependent singularities in the Navier-Stokes system
复制标题
纳维-斯托克斯系统中与时间相关的奇点
DOI：
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复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Xiaoxin Zheng
中科院分区：
文献类型：
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作者：
G. Karch;Xiaoxin Zheng
我们证明，对于 $\{(\gamma(t),t)\,:\, t>0\} \subset R^3\times R^+$ 中给定的 H\"older Continuous 曲线，对于 $R^3$ 中的不可压缩流体，存在纳维-斯托克斯系统的解，该系统在该曲线外是光滑的，在该曲线上是奇异的。这是曲线外系统的点解， 然而，作为 $R^3\times R^+$ 上的分布解，它求解类似的纳维-斯托克斯系统，奇异力集中在曲线上。
We show that, for a given H\"older continuous curve in $\{(\gamma(t),t)\,:\, t>0\} \subset R^3\times R^+$, there exists a solution to the Navier-Stokes system for an incompressible fluid in $R^3$ which is smooth outside this curve and singular on it. This is a pointwise solution of the system outside the curve, however, as a distributional solution on $R^3\times R^+$, it solves an analogous Navier-Stokes system with a singular force concentrated on the curve.
影响因子：
6.5
作者：
T. M. C. J. Aleksi'c;L. A. Antonelli;P. Antoranz;A. Babić;U. D. Almeida;J. Barrio;J. Gonz'alez;W. Bednarek;K. Berger;E. Bernardini;A. Biland;O. Blanch;R. Bock;A. Boller;S. Bonnefoy;G. Bonnoli;D. Tridon;F. Borracci;T. Bretz;E. Carmona;A. Carosi;D. Fidalgo;P. Colin;E. Colombo;J. Contreras;J. Cortina;L. Cossio;S. Covino;P. D. Vela;F. Dazzi;A. Angelis;G. Caneva;C. Mendez;B. Lotto;M. Doert;A. Domínguez;D. Prester;D. Dorner;M. Doro;D. Eisenacher;D. Elsaesser;E. Farina;D. Ferenc;M. V. Fonseca;L. Font;C. Fruck;R. L'opez;M. Garczarczyk;D. G. Terrats;M. Gaug;G. Giavitto;N. Godinovi'c;A. G. Muñoz;S. Gozzini;A. Hadamek;D. Hadasch;D. Hafner;A. Herrero;J. Hose;D. Hrupec;W. Idec;V. Kadenius;M. Knoetig;T. Krahenbuhl;J. Krause;J. Kushida;A. Barbera;D. Lelas;N. Lewandowska;E. Lindfors;S. Lombardi;R. L'opez-Coto;M. L'opez;A. L'opez-Oramas;E. Lorenz;I. Lozano;M. Makariev;K. Mallot;G. Maneva;N. Mankuzhiyil;K. Mannheim;L. Maraschi;B. Marcote;M. Mariotti;M. Mart'inez;J. Masbou;D. Mazin;M. Meucci;J. Miranda;R. Mirzoyan;J. Mold'on;A. Moralejo;P. Munar-Adrover;D. Nakajima;A. Niedźwiecki;K. Nilsson;N. Nowak;R. Orito;A. Overkemping;S. Paiano;M. Palatiello;D. Paneque;R. Paoletti;J. Paredes;S. Partini;M. Persic;F. Prada;P. Moroni;E. Prandini;S. Preziuso;I. Puljak;I. Reichardt;R. Reinthal;W. Rhode;M. Rib'o;J. Rico;S. Rugamer;A. Saggion;K. Saito;T. Saito;M. Salvati;K. Satalecka;V. Scalzotto;V. Scapin;C. Schultz;T. Schweizer;S. Shore;A. Sillanpaa;J. Sitarek;I. Šnidarić;D. Sobczynska;F. Spanier;S. Spiro;V. Stamatescu;A. Stamerra;B. Steinke;J. Storz;S. Sun;T. Suri'c;L. Takalo;H. Takami;F. Tavecchio;P. Temnikov;T. Terzi'c;D. Tescaro;M. Teshima;J. Thaele;O. Tibolla;D. Torres;T. Toyama;A. Treves;M. Uellenbeck;P. Vogler;R. Wagner;Q. Weitzel;F. Zandanel;R. Zanin;T. Dauser;P. Fortin;M. Kadler;F. Krauß;S. Wilbert;J. W. Ifae;Edifici Cn.;Campus Uab;Bellaterra;Spain.;I. I. F. Astrophysics-I.;Italy.;U. Siena;I. Pisa;Croatian Magic Consortium;Rudjer Boskovic Institute;University of Rijeka;University of Split;Croatia.;M. F. Physik;Munchen;H Germany;U. Complutense;Madrid;Instituto de Astrof'isica de Canarias-Instituto-de-Astrof'isica-de-Canarias-102997450;La Laguna;Tenerife;University of L'od'z;Poland;D. Astrof'isica;U. L. Laguna;D. Elektronen-Synchrotron;Zeuthen;E. Zurich;Switzerland.;U. Wurzburg;Centro de Investigaciones Energ'eticas;Medioambientales y Tecnol'ogicas;U. Udine;I. Trieste;Technische Universitat Dortmund;Inst. de Astrof'isica de Andaluc'ia-Inst.-de-Astrof'isica-de-Andaluc'ia-102813830;Granada;U. Padova;Infn;Unitat de F'isica de les Radiacions-Unitat-de-F'isica-de-les-Radiacions-1381421020;D. D. F'isica-D.;CERES-IEEC;U. Barcelona;Universita' dell'Insubria;Como;Institut de Ci'encies de l'Espai-Institut-de-Ci'encies-de-l'Espai-123080358;T. Observatory;U. Turku;Piikkio;Finland.;Japanese Magic Consortium;D. Physics;Astronomy;Kyoto University;Japan.;Inst. for Nucl. Research;Nucl. Energy;Sofía;Bulgaria.;U. Barcelona;Barcelona;INAF-Osservatorio Astronomico;Trieste;U. Pisa;I. Pisa;Icrea;N. C. E. P. F. D. Lausanne;Lausanne;supported by Infn Padova;now at Department of PhysicsAstronomy;Uc Riverside;Usa;N. Eso;A. M. D. D. F. Teorica-A.-M.-D.-D.-F.-Teorica-1381421114;Uamcsic;Now at Grappa Institute;U. Amsterdam;Netherlands.;Dr-Karl-Remeis-Observatory;Erlangen Centre for Astroparticle Physics;Bamberg;Fred Lawrence Whipple Observatory;H. C. F. Astrophysics;Amado;Az
通讯作者：
T. M. C. J. Aleksi'c;L. A. Antonelli;P. Antoranz;A. Babić;U. D. Almeida;J. Barrio;J. Gonz'alez;W. Bednarek;K. Berger;E. Bernardini;A. Biland;O. Blanch;R. Bock;A. Boller;S. Bonnefoy;G. Bonnoli;D. Tridon;F. Borracci;T. Bretz;E. Carmona;A. Carosi;D. Fidalgo;P. Colin;E. Colombo;J. Contreras;J. Cortina;L. Cossio;S. Covino;P. D. Vela;F. Dazzi;A. Angelis;G. Caneva;C. Mendez;B. Lotto;M. Doert;A. Domínguez;D. Prester;D. Dorner;M. Doro;D. Eisenacher;D. Elsaesser;E. Farina;D. Ferenc;M. V. Fonseca;L. Font;C. Fruck;R. L'opez;M. Garczarczyk;D. G. Terrats;M. Gaug;G. Giavitto;N. Godinovi'c;A. G. Muñoz;S. Gozzini;A. Hadamek;D. Hadasch;D. Hafner;A. Herrero;J. Hose;D. Hrupec;W. Idec;V. Kadenius;M. Knoetig;T. Krahenbuhl;J. Krause;J. Kushida;A. Barbera;D. Lelas;N. Lewandowska;E. Lindfors;S. Lombardi;R. L'opez-Coto;M. L'opez;A. L'opez-Oramas;E. Lorenz;I. Lozano;M. Makariev;K. Mallot;G. Maneva;N. Mankuzhiyil;K. Mannheim;L. Maraschi;B. Marcote;M. Mariotti;M. Mart'inez;J. Masbou;D. Mazin;M. Meucci;J. Miranda;R. Mirzoyan;J. Mold'on;A. Moralejo;P. Munar-Adrover;D. Nakajima;A. Niedźwiecki;K. Nilsson;N. Nowak;R. Orito;A. Overkemping;S. Paiano;M. Palatiello;D. Paneque;R. Paoletti;J. Paredes;S. Partini;M. Persic;F. Prada;P. Moroni;E. Prandini;S. Preziuso;I. Puljak;I. Reichardt;R. Reinthal;W. Rhode;M. Rib'o;J. Rico;S. Rugamer;A. Saggion;K. Saito;T. Saito;M. Salvati;K. Satalecka;V. Scalzotto;V. Scapin;C. Schultz;T. Schweizer;S. Shore;A. Sillanpaa;J. Sitarek;I. Šnidarić;D. Sobczynska;F. Spanier;S. Spiro;V. Stamatescu;A. Stamerra;B. Steinke;J. Storz;S. Sun;T. Suri'c;L. Takalo;H. Takami;F. Tavecchio;P. Temnikov;T. Terzi'c;D. Tescaro;M. Teshima;J. Thaele;O. Tibolla;D. Torres;T. Toyama;A. Treves;M. Uellenbeck;P. Vogler;R. Wagner;Q. Weitzel;F. Zandanel;R. Zanin;T. Dauser;P. Fortin;M. Kadler;F. Krauß;S. Wilbert;J. W. Ifae;Edifici Cn.;Campus Uab;Bellaterra;Spain.;I. I. F. Astrophysics-I.;Italy.;U. Siena;I. Pisa;Croatian Magic Consortium;Rudjer Boskovic Institute;University of Rijeka;University of Split;Croatia.;M. F. Physik;Munchen;H Germany;U. Complutense;Madrid;Instituto de Astrof'isica de Canarias-Instituto-de-Astrof'isica-de-Canarias-102997450;La Laguna;Tenerife;University of L'od'z;Poland;D. Astrof'isica;U. L. Laguna;D. Elektronen-Synchrotron;Zeuthen;E. Zurich;Switzerland.;U. Wurzburg;Centro de Investigaciones Energ'eticas;Medioambientales y Tecnol'ogicas;U. Udine;I. Trieste;Technische Universitat Dortmund;Inst. de Astrof'isica de Andaluc'ia-Inst.-de-Astrof'isica-de-Andaluc'ia-102813830;Granada;U. Padova;Infn;Unitat de F'isica de les Radiacions-Unitat-de-F'isica-de-les-Radiacions-1381421020;D. D. F'isica-D.;CERES-IEEC;U. Barcelona;Universita' dell'Insubria;Como;Institut de Ci'encies de l'Espai-Institut-de-Ci'encies-de-l'Espai-123080358;T. Observatory;U. Turku;Piikkio;Finland.;Japanese Magic Consortium;D. Physics;Astronomy;Kyoto University;Japan.;Inst. for Nucl. Research;Nucl. Energy;Sofía;Bulgaria.;U. Barcelona;Barcelona;INAF-Osservatorio Astronomico;Trieste;U. Pisa;I. Pisa;Icrea;N. C. E. P. F. D. Lausanne;Lausanne;supported by Infn Padova;now at Department of PhysicsAstronomy;Uc Riverside;Usa;N. Eso;A. M. D. D. F. Teorica-A.-M.-D.-D.-F.-Teorica-1381421114;Uamcsic;Now at Grappa Institute;U. Amsterdam;Netherlands.;Dr-Karl-Remeis-Observatory;Erlangen Centre for Astroparticle Physics;Bamberg;Fred Lawrence Whipple Observatory;H. C. F. Astrophysics;Amado;Az
绕旋转体的纳维斯托克斯流 Leray 解的渐近结构
影响因子：
0.6
作者：
R. Farwig;G.P. Galdi;M. Kyed
通讯作者：
M. Kyed