Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations

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KITAVTSEV G., Taranets R. M.

Asymptotic Analysis, cilt.137, sa.3-4, ss.153-176, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 137 Sayı: 3-4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3233/asy-231884
  • Dergi Adı: Asymptotic Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.153-176
  • Anahtar Kelimeler: Asymptotic decay, porous medium, singular diffusion, steady states
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We analyze long-time behavior of solutions to a class of problems related to very fast and singular diffusion porous medium equations having non-homogeneous in space and time source terms with zero mean. In dimensions two and three, we determine critical values of porous medium exponent for the asymptotic H1-convergence of the solutions to a unique non-homogeneous positive steady state generally to hold.