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Shuang Miao

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On the stability of blowup solutions for the critical corotational wave-map problem

Joachim Krieger, Shuang Miao

We show that the finite time blow up solutions for the co-rotational Wave Maps problem constructed in [7,15] are stable under suitably small perturbations within the co-rotational class, provided the scaling parameter

λ(t)=t−1−ν

is sufficiently close to ...

2020

A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020

Shuang Miao

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On the stability of blowup solutions for the critical corotational wave-map problem

A stability theory beyond the co-rotational setting for critical wave maps blow up

On large future-global-in-time solutions to energy-supercritical nonlinear wave equation

On the stability of blowup solutions for the critical corotational wave-map problem

A stability theory beyond the co-rotational setting for critical wave maps blow up

On large future-global-in-time solutions to energy-supercritical nonlinear wave equation