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Networks and Heterogeneous Media

2007, Volume 2, Issue 2: 359-381. doi: 10.3934/nhm.2007.2.359
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Nonlinear transmission problems for quasilinear diffusion systems

  • 1.
    Dipartimento di Matematica Pura e Applicata, Universitá degli Studi di L'Aquila, Via Vetoio, I–67010 Coppito (L'Aquila)
  • 2.
    Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, Viale del Policlinico 137, I–00161 Rome
  • Received: 01 January 2007 Revised: 01 March 2007

  • Primary 65M06; Secondary 76M20, 76R, 82C40.

  • We study degenerate quasilinear parabolic systems in two different domains, which are connected by a nonlinear transmission condition at their interface. For a large class of models, including those modeling pollution aggression on stones and chemotactic movements of bacteria, we prove global existence, uniqueness and stability of the solutions.

    Citation: F. R. Guarguaglini, R. Natalini. Nonlinear transmission problems for quasilinear diffusion systems[J]. Networks and Heterogeneous Media, 2007, 2(2): 359-381. doi: 10.3934/nhm.2007.2.359

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  • We study degenerate quasilinear parabolic systems in two different domains, which are connected by a nonlinear transmission condition at their interface. For a large class of models, including those modeling pollution aggression on stones and chemotactic movements of bacteria, we prove global existence, uniqueness and stability of the solutions.


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    3. G. Frasca-Caccia, C. Valentino, F. Colace, D. Conte, An overview of differential models for corrosion of cultural heritage artefacts, 2023, 18, 0973-5348, 27, 10.1051/mmnp/2023031
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  • © 2007 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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