Existence of weak solutions with different initial energy levels to an equation modeling shallow-water waves

Taşkesen, Hatice; Polat, Necat

Existence of weak solutions with different initial energy levels to an equation modeling shallow-water waves

International Journal of Open Problems in Computer Science and Mathematics, cilt.14, sa.4, ss.29-47, 2021 (Hakemli Dergi)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 14 Sayı: 4
Basım Tarihi: 2021
Dergi Adı: International Journal of Open Problems in Computer Science and Mathematics
Derginin Tarandığı İndeksler: Other Indexes
Sayfa Sayıları: ss.29-47
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The present paper considers the Cauchy problem of a generalized shallow water wave equation with two different initial energy levels. We investigate the existence of global weak solutions in critical and supercritical energy levels by sign preserving property of some functionals introduced for the potential well method.