Mathematical analysis of a transport model with unbounded heat capacities

被引:0
|
作者
Choquet, Catherine [1 ]
机构
[1] Univ Aix Marseille 3, CNRS, UMR 6632, FST,LATP, F-13397 Marseille 20, France
关键词
nuclear waste; miscible compressible displacement; porous media;
D O I
10.1007/s10440-008-9235-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a problem of nuclear waste contamination in the basement. We derive a detailed model describing the simultaneous transport of brine, radionuclides and heat in a compressible flow through a porous medium. It leads to a nonlinear system of fully coupled partial differential equations. Using a fixed point approach, we prove existence of physically relevant weak solutions.
引用
收藏
页码:277 / 299
页数:23
相关论文
共 50 条
  • [21] ANALYSIS OF A MATHEMATICAL-MODEL FOR TRANSPORT OF ALBUMIN-I-131
    SINHA, ASC
    JOURNAL OF THEORETICAL BIOLOGY, 1975, 50 (02) : 259 - 267
  • [22] Extended homogenous mathematical transport model for thermo dynamical surge analysis
    Bilus, Ignacijo
    Predin, Andrej
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2012, 22 (3-4) : 323 - 334
  • [23] CALCULATION OF HEAT CAPACITIES IN DIFFERENTIAL THERMAL ANALYSIS
    BERG, LG
    EGUNOV, VP
    RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY,USSR, 1970, 44 (03): : 431 - &
  • [24] Mathematical Analysis of Heat Transfer in Peristaltic Transport through a Rough Nonuniform Inclined Channel
    Shukla, R.
    Medhavi, A.
    Bhatt, S. S.
    Kumar, R.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020 (2020)
  • [25] On the Einstein-Stern model of rotational heat capacities
    Dahl, JP
    JOURNAL OF CHEMICAL PHYSICS, 1998, 109 (24): : 10688 - 10691
  • [26] Heat capacities of the dipolar Yukawa model polar fluid
    Mate, Zoltan
    Szalai, Istvan
    Boda, Dezso
    Henderson, Douglas
    MOLECULAR PHYSICS, 2011, 109 (02) : 203 - 208
  • [27] Analysis of a recent heat conduction model with a delay for thermoelastic interactions in an unbounded medium with a spherical cavity
    Kumari, Bharti
    Kumar, Anil
    Gupta, Manushi
    Mukhopadhyay, Santwana
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (02): : 863 - 891
  • [28] A mathematical model of transport in the renal medulla
    Rosar, ME
    METMBS'03: PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING TECHNIQUES IN MEDICINE AND BIOLOGICAL SCIENCES, 2003, : 354 - 359
  • [29] A Mathematical Model of Magma Transport in the Asthenosphere
    Fowler, A. C.
    GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1985, 33 (1-4): : 63 - 96
  • [30] MATHEMATICAL MODEL OF POLAR AUXIN TRANSPORT
    LEOPOLD, AC
    HALL, OF
    PLANT PHYSIOLOGY, 1966, 41 (09) : 1476 - &