Two remarks on a generalized Davey-Stewartson system

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Atıf İçin Kopyala

Eden A., ERBAY H., Muslu G. M.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.64, sa.5, ss.979-986, 2006 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 64 Sayı: 5
• Basım Tarihi: 2006
• Doi Numarası: 10.1016/j.na.2005.05.052
• Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.979-986
• İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We present two results on a generalized Davey-Stewartson system, both following from the pseudo-conformal invariance of its solutions. In the hyperbolic-elliptic-elliptic case, under some conditions on the physical parameters, we establish a blow-up profile. These conditions turn out to be necessary conditions for the existence of a special '' radial '' solution. In the elliptic-elliptic-elliptic case, under milder conditions, we show the L-P-norms of the solutions decay to zero algebraically in time for 2 < p < infinity. (c) 2005 Elsevier Ltd. All rights reserved.