Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows

被引：10
|
作者：
Bonito, Andrea [1 ]
Clement, Philippe
Picasso, Marco
机构：
[1] Ecole Polytech Fed Lausanne, Inst Anal & Calcul Sci, CH-1015 Lausanne, Switzerland
[2] Leiden Univ, Inst Math, NL-2300 RA Leiden, Netherlands
[3] Delft Univ Technol, Fac EEMCS DIAM, NL-2600 GA Delft, Netherlands
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2006年 / 6卷 / 03期
关键词：
D O I：
10.1007/s00028-006-0251-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic model corresponding to a simplified Hookean dumbbells viscoelastic fluid is considered, the convective terms being disregarded. Existence on a fixed time interval is proved provided the data are small enough, using the implicit function theorem and a maximum regularity property for a three fields Stokes problem.
引用
收藏
页码：381 / 398
页数：18
相关论文
共 50 条
  • [41] An Efficient Wavelet Analysis Method to Film–Pore Diffusion Model Arising in Mathematical Chemistry
    G. Hariharan
    The Journal of Membrane Biology, 2014, 247 : 339 - 343
  • [42] VISCOELASTIC PROPERTIES OF BLADDER .1. MECHANICAL MODEL AND ITS MATHEMATICAL-ANALYSIS
    KONDO, A
    LEFAIVRE, J
    SUSSET, JG
    INVESTIGATIVE UROLOGY, 1972, 10 (02): : 154 - &
  • [43] Mathematical analysis of Goldstein's model for time-harmonic acoustics in flows
    Bensalah, Antoine
    Joly, Patrick
    Mercier, Jean-Francois
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2022, 56 (02) : 451 - 483
  • [44] A Model Equation for Wavepacket Solitary Waves Arising from Capillary-Gravity Flows
    Akers, Benjamin
    Milewski, Paul A.
    STUDIES IN APPLIED MATHEMATICS, 2009, 122 (03) : 249 - 274
  • [45] Analysis of Turbojet Combustion Chamber Performances Based on Flow Field Simplified Mathematical Model
    Rotaru, Constantin
    APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2017, 1836
  • [46] AN ANALYSIS OF THE SHOCK STRENGTH NEEDED TO ACHIEVE DEFIBRILLATION IN A SIMPLIFIED MATHEMATICAL MODEL OF CARDIAC TISSUE
    Tveito, Aslak
    Lines, Glenn
    Rognes, Marie E.
    Maleckar, Mary M.
    INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2012, 9 (03) : 644 - 657
  • [47] Experimental Verification of the Simplified Mathematical Model for Harmonic Distortion Analysis in AC Buck Converter
    Gorbunov, Roman L.
    Poskonnyy, Gennadiy I.
    2016 17TH INTERNATIONAL CONFERENCE OF YOUNG SPECIALISTS ON MICRO/NANOTECHNOLOGIES AND ELECTRON DEVICES (EDM), 2016, : 433 - 440
  • [48] Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model
    Bouillard, Nicolas
    Eymard, Robert
    Herbin, Raphaele
    Montarnal, Philippe
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2007, 41 (06): : 975 - 1000
  • [49] VALIDATION OF A SIMPLIFIED MATHEMATICAL-MODEL FOR STRESS ANALYSIS OF HUMAN AORTIC HEART VALVES
    CATALOGLU, A
    GOULD, PL
    CLARK, RE
    JOURNAL OF BIOMECHANICS, 1975, 8 (05) : 347 - 348
  • [50] Mathematical Model for Isothermal Wire-Coating From a Bath of Giesekus Viscoelastic Fluid
    Ali, Nasir
    Javed, Muhammad Asif
    Beg, O. Anwar
    Hayat, Tasawar
    CHEMICAL ENGINEERING COMMUNICATIONS, 2016, 203 (10) : 1336 - 1348
12345