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.
Radon measure-valued solutions of unsteady filtration equations / Porzio, M. M.; Smarrazzo, F.; Tesei, A.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 43:(3-4)(2023), pp. 1595-1624. [10.3934/dcds.2022040]
Radon measure-valued solutions of unsteady filtration equations
M. M. Porzio;A. Tesei
2023
Abstract
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.File allegati a questo prodotto
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