Global Spherically Symmetric Solutions of Non-linear Wave Equations with Null Condition on Extremal Reissner–Nordström Spacetimes

2015 ◽  
Vol 2016 (11) ◽  
pp. 3279-3355 ◽  
Author(s):  
Yannis Angelopoulos
Keyword(s):  
Wave Equations ◽  
Linear Wave ◽  
Spherically Symmetric ◽  
Null Condition ◽  
Spherically Symmetric Solutions ◽  
Non Linear ◽  
Linear Wave Equations

scholarly journals The weak null condition and Kaluza–Klein spacetimes

2018 ◽  
Vol 15 (02) ◽  
pp. 219-258 ◽  
Author(s):  
Zoe Wyatt
Keyword(s):  
Linear Stability ◽  
Wave Equations ◽  
Minkowski Spacetime ◽  
Linear Wave ◽  
Null Condition ◽  
Non Linear ◽  
Linear Wave Equations ◽  
Kaluza Klein

We prove the non-linear stability of a system of non-linear wave equations satisfying the weak null condition. In particular, this includes the case of the non-linear stability of Minkowski spacetime times a [Formula: see text]-torus subject to perturbations depending only on the non-compact coordinates. Our argument closely follows the proof of the non-linear stability of Minkowski spacetime by Lindblad and Rodnianski.

Uniqueness for stochastic non-linear wave equations

2007 ◽  
Vol 67 (12) ◽  
pp. 3287-3310 ◽  
Author(s):  
Martin Ondreját
Keyword(s):  
Wave Equations ◽  
Linear Wave ◽  
Non Linear ◽  
Linear Wave Equations

scholarly journals Non-linear wave equations for free surface flow over a bump

2020 ◽  
Vol 62 (2) ◽  
pp. 159-169
Author(s):  
Shino Sakaguchi ◽  
Keisuke Nakayama ◽  
Thuy Thi Thu Vu ◽  
Katsuaki Komai ◽  
Peter Nielsen
Keyword(s):  
Free Surface ◽  
Wave Equations ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Linear Wave ◽  
Non Linear ◽  
Linear Wave Equations
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