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ON PARTIAL REGULARITY FOR THE 3D NONSTATIONARY HALL MAGNETOHYDRODYNAMICS EQUATIONS ON THE PLANE
- Chae, Dongho;
- Wolf, Joerg
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57초록
We study partial regularity of weak solutions of the three-dimensional (3D) valued nonstationary Hall magnetohydrodynamics equations on R-2. In particular, we prove the existence of a weak solution whose set of possible singularities has the space-time Hausdorff dimension at most two.
키워드
nonstationary Hall-MHD equations; partial regularity; NAVIER-STOKES EQUATIONS; MAGNETIC RECONNECTION; GLOBAL EXISTENCE; WELL-POSEDNESS; WEAK SOLUTIONS; SYSTEM
- 제목
- ON PARTIAL REGULARITY FOR THE 3D NONSTATIONARY HALL MAGNETOHYDRODYNAMICS EQUATIONS ON THE PLANE
- 저자
- Chae, Dongho; Wolf, Joerg
- 발행일
- 2016
- 유형
- Article
- 권
- 48
- 호
- 1
- 페이지
- 443 ~ 469