Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations
ASYMPTOTIC ANALYSIS, cilt.137, sa.3-4, ss.153-176, 2024 (SCI-Expanded, Scopus)
- 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
- Sayfa Sayıları: ss.153-176
- Orta Doğu Teknik Üniversitesi Kuzey Kıbrıs Kampüsü 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 H-1-convergence of the solutions to a unique non-homogeneous positive steady state generally to hold.