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On a class of implicit solutions of the continuity and Euler’s equations for 1D systems with long range interactions

✍ Scribed by Philippe Choquard; Joël Wagner


Book ID
108240317
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
892 KB
Volume
201
Category
Article
ISSN
0167-2789

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On the decay of solutions for a class of
✍ Salim A. Messaoudi 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 104 KB 👁 1 views

## Abstract In this paper, we consider the non‐linear wave equation __a__,__b__>0, associated with initial and Dirichlet boundary conditions. Under suitable conditions on __α__, __m__, and __p__, we give precise decay rates for the solution. In particular, we show that for __m__=0, the decay is ex