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A hyperbolic model of two-phase flow: global solutions for large initial data

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Abstract

The paper deals with a simple nonlinear hyperbolic system of conservation laws modeling the flow of an inviscid fluid. The model is given by a standard isothermal p-system of the gasdynamics, for which phase transitions of the fluid are taken into consideration via a third homogeneous equation. We focus on the case of initial data consisting of two different phases separated by an interface. By means of an adapted version of the front tracking algorithm, we prove the global-in time existence of weak entropic solutions under suitable assumptions on the (possibly large) initial data.

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Authors and Affiliations

  1. Department of Engineering and Computer Science and Mathematics, University of L’Aquila, L’Aquila, Italy

    Debora Amadori

  2. Department of Mathematics and Computer Science, University of Udine, Udine, Italy

    Paolo Baiti & Edda Dal Santo

  3. Department of Mathematics and Computer Science, University of Ferrara, Ferrara, Italy

    Andrea Corli

Authors
  1. Debora Amadori
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  2. Paolo Baiti
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  3. Andrea Corli
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  4. Edda Dal Santo
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Corresponding author

Correspondence to Paolo Baiti.

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Amadori, D., Baiti, P., Corli, A. et al. A hyperbolic model of two-phase flow: global solutions for large initial data. Bull Braz Math Soc, New Series 47, 65–75 (2016). https://doi.org/10.1007/s00574-016-0122-5

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  • DOI: https://doi.org/10.1007/s00574-016-0122-5

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