Proves global nonlinear stability of geodesic solutions for the evolutionary Faddeev model mapping R^{1+n} to S^2.
Uniqueness and stability of traveling waves to the time-like extremal hypersurface in Minkowski space
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abstract
There is a few results about the global stability of nontrivial solutions to quasilinear wave equations. In this paper we are concerned with the uniqueness and stability of traveling waves to the time-like extremal hypersurface in Minkowski space. Firstly, we can get the existence and uniqueness of traveling wave solutions to the time-like extremal hypersurface in R1+(n+1), which can be considered as the generalized Bernstein theorem in Minkowski space. Furthermore, we also get the stability of traveling wave solutions with speed of light to time-like extremal hypersurface in 1 + (2 + 1) dimensional Minkowski space.
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math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Global Nonlinear Stability of Geodesic Solutions of Evolutionary Faddeev Model
Proves global nonlinear stability of geodesic solutions for the evolutionary Faddeev model mapping R^{1+n} to S^2.