𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Self-similar solutions to the generalized deterministic KPZ equation

✍ Scribed by Mohammed GUEDDA; Robert KERSNER


Publisher
SP Birkhäuser Verlag Basel
Year
2003
Tongue
English
Weight
192 KB
Volume
10
Category
Article
ISSN
1021-9722

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Classification of Self Similar Solutions
✍ E. Soewono; L. Debnath 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 315 KB

A complete classification for the self-similar solutions to the generalized Burgers equation \[ u_{t}+u^{\beta} u_{x}=t^{N} u_{x x} \] of the form \(u(t, \eta)=A_{1} t^{-(1-N) / 2 \beta} F(\eta)\), where \(\eta=A_{2} x t^{-(1+N / 2}, A_{2}=1 / \sqrt{2 A}\), and \(A_{1}=\left(2 A_{2}\right)^{-1 / 6

Self-similar solutions to a generalized
✍ Xiangqing Zhao 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 382 KB

In this paper we study the global solvability and existence of self-similar solutions to a generalized Davey-Stewartson system. We first use the Banach fixed point theorem to establish a general global existence theorem. By using this general result to a class of special initial data we obtain the e