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The Stokes problem in fractal domains: asymptotic behaviour of the solutions

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Publication:2182796
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DOI10.3934/dcdss.2020088zbMath1434.35104OpenAlexW2949069016MaRDI QIDQ2182796

Paola Vernole, Maria Rosaria Lancia

Publication date: 26 May 2020

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020088

zbMATH Keywords

semigroupsasymptotic behaviourStokes problemenergy formsfractal domains


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) One-parameter semigroups and linear evolution equations (47D06) Fractals (28A80)




Cites Work

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  • Numerical approximation of transmission problems across Koch-type highly conductive layers
  • Solutions of the divergence operator on John domains
  • Navier-Stokes equations in arbitrary domains: the Fujita-Kato scheme
  • Composite media and asymptotic Dirichlet forms
  • Heat-flow problems across fractal mixtures: regularity results of the solutions and numerical approximation.
  • Convergence of convex sets and of solutions of variational inequalities
  • Rotation and strain
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