Galilean and Relativistic Nonlinear Wave equations: an Hydro dynamical Tool?

Author(s):  
Malek Abid ◽  
Marc Brachet ◽  
Fabrice Debbasch ◽  
Caroline Nore
Author(s):  
Rainer Mandel

AbstractIn this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in $$\mathbb {R}^N$$ R N .


2015 ◽  
Vol 12 (02) ◽  
pp. 249-276
Author(s):  
Tomonari Watanabe

We study the global existence and the derivation of decay estimates for nonlinear wave equations with a space-time dependent dissipative term posed in an exterior domain. The linear dissipative effect may vanish in a compact space region and, moreover, the nonlinear terms need not be in a divergence form. In order to establish higher-order energy estimates, we introduce an argument based on a suitable rescaling. The proposed method is useful to control certain derivatives of the dissipation coefficient.


2012 ◽  
Author(s):  
Tetsuya Kanagawa ◽  
Takeru Yano ◽  
Junya Kawahara ◽  
Kazumichi Kobayashi ◽  
Masao Watanabe ◽  
...  

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