RADON MEASURE-VALUED SOLUTIONS OF UNSTEADY FILTRATION EQUATIONS

被引：0
|
作者：
Porzio, Maria Michaela [1 ]
Smarrazzo, Flavia [2 ]
Tesei, Alberto [3 ,4 ]
机构：
[1] Univ Sapienza Roma, Dipartimento Pianificaz Design Tecnol Architettur, Via Flaminia 70, I-00196 Rome, Italy
[2] Univ Campus Biomed Roma, Via Alvaro del Portillo 21, I-00128 Rome, Italy
[3] Univ Sapienza Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy
[4] CNR, Ist Applicaz Calcolo M Picone, Rome, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年
关键词：
Radon measure-valued solutions; compatibility conditions; well-posedness; space dependence;
D O I：
10.3934/dcds.2022040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study Radon measure-valued solutions of a Cauchy-Dirichlet problem in one space dimension that describes nonlinear convection-diffusion phenomena in heterogeneous media. Well-posedness results are proven, which extend those previously known for the space homogeneous case.
引用
收藏
页码：1595 / 1624
页数：30
相关论文
共 50 条
  • [21] Measure-valued solutions of nonlinear parabolic equations with logarithmic diffusion
    Luigi Orsina
    Maria Michaela Porzio
    Flavia Smarrazzo
    Journal of Evolution Equations, 2015, 15 : 609 - 645
  • [22] SIGNED RADON MEASURE-VALUED SOLUTIONS OF FLUX SATURATED SCALAR CONSERVATION LAWS
    Bertsch, Michiel
    Smarrazzo, Flavia
    Terracina, Andrea
    Tesei, Alberto
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (06) : 3143 - 3169
  • [23] Which Measure-Valued Solutions of the Monoatomic Gas Equations are Generated by Weak Solutions?
    Dennis Gallenmüller
    Emil Wiedemann
    Archive for Rational Mechanics and Analysis, 2023, 247
  • [24] Stability properties of Radon measure-valued solutions for a class of nonlinear parabolic equations under Neumann boundary conditions
    Nkombo, Quincy Stevene
    Li, Fengquan
    Tathy, Christian
    AIMS MATHEMATICS, 2021, 6 (11): : 12182 - 12224
  • [25] Discontinuous Solutions of Hamilton-Jacobi Equations Versus Radon Measure-Valued Solutions of Scalar Conservation Laws: Disappearance of Singularities
    Bertsch, Michiel
    Smarrazzo, Flavia
    Terracina, Andrea
    Tesei, Alberto
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, 35 (01) : 455 - 491
  • [26] Which Measure-Valued Solutions of the Monoatomic Gas Equations are Generated by Weak Solutions?
    Gallenmueller, Dennis
    Wiedemann, Emil
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023, 247 (04)
  • [27] Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits
    Hofmanova, Martina
    Koley, Ujjwal
    Sarkar, Utsab
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2022, 47 (09) : 1907 - 1943
  • [28] Probabilistic representation and uniqueness results for measure-valued solutions of transport equations
    Maniglia, Stefania
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 87 (06): : 601 - 626
  • [29] FUNCTIONAL AND MEASURE-VALUED SOLUTIONS OF THE EULER EQUATIONS FOR FLOWS OF INCOMPRESSIBLE FLUIDS
    CHAE, DH
    DUBOVSKII, P
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 129 (04) : 385 - 396
  • [30] Measure-valued solutions of the Euler equations for ideal compressible polytropic fluids
    Kroner, D
    Zajaczkowski, WM
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1996, 19 (03) : 235 - 252
12345