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math.AP2019
instability of -stable peakons in the Novikov equation
Robin Ming Chen, Dmitry E. Pelinovsky
It is known from the previous works that the peakon solutions of the Novikov equation are orbitally and asymptotically stable in . We prove, via the method of characteristics,…
math.AP2019★ 11 cited
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics
Robin Ming Chen, Samuel Walsh, Miles H. Wheeler
In this paper, we present a novel center manifold reduction theorem for quasilinear elliptic equations posed on infinite cylinders. This is done without a phase space in the sense…