Steady-state solutions for the Muskat problem

• Sánchez, Omar ^[1]
  1. [1] Universidad Autónoma de Madrid

     Universidad Autónoma de Madrid

     Madrid, España

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 2, 2023, págs. 313-321
• Idioma: inglés
• DOI: 10.1007/s13348-021-00348-z
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• Resumen

  • In this paper we study the existence of stationary solutions for the Muskat problem with a large surface tension coefficient. Ehrnstrom, Escher and Matioc studied in Mats Ehrnström (Methods Appl Anal 20:33-46, 2013) that there exists solutions to this problem for surface tensions below a finite value. In these notes we go beyond this value considering large surface tension. Also by numerical simulation we show some examples that explains the behavior of solutions.