Hölder Continuous Solutions of Boussinesq Equation with Compact Support
نویسندگان
چکیده
Here e2 = (0, 1) T , v is the velocity vector, p is the pressure, θ is a scalar function. The Boussinesq equations arises from many geophysical flows, such as atmospheric fronts and ocean circulations (see, for example, [25],[27]). To understand the turbulence phenomena in fluid mechanics, one needs to go beyond classical solutions. The pair (v, p, θ) on R2×R is called a weak solution of (1.1) if they belong to Lloc(R 2 ×R) and solve (1.1) in the following sense:
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