Weak formulation of free-surface wave equations.
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Sneyd, A.D. (2001)
Journal of Applied Mathematics and Decision Sciences
Huanyuan Li (2023)
Applications of Mathematics
This paper is concerned with a Cauchy problem for the three-dimensional (3D) nonhomogeneous incompressible heat conducting magnetohydrodynamic (MHD) equations in the whole space. First of all, we establish a weak Serrin-type blowup criterion for strong solutions. It is shown that for the Cauchy problem of the 3D nonhomogeneous heat conducting MHD equations, the strong solution exists globally if the velocity satisfies the weak Serrin's condition. In particular, this criterion is independent of the...
Kone, Blaise, Ouaro, Stanislas, Traore, Sado (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Chen, Cha'O-Kuang, Lai, Dong-Yu (2010)
Mathematical Problems in Engineering
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