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We construct a one parameter family of finite time blow-ups to the co-rotational wave maps problem from S-2 x R to S-2, parameterized by nu is an element of (1/2, 1]. The longitudinal function u(t, alpha) which is the main object of study will be obtained ...
We study time and space equivariant wave maps from M×R→S2, where M is dieomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metric on M can be written as $dr^2+f^2(r)d\theta ...
We construct a one parameter family of nite time blow ups to the co-rotational wave maps problem from S2×R to S2 parameterized by νϵ(21,1]. The longitudinal function u(t,α) which is the main object of study will be ...