Research article

On the dissipative solutions for the inviscid Boussinesq equations

  • Received: 24 November 2019 Accepted: 11 February 2020 Published: 18 March 2020
  • MSC : 35A01, 35Q35, 76B03

  • In this paper, we study the dissipative solutions for the inviscid Boussinesq equations. It is shown that there is at least one dissipative solution for the inviscid incompressible Boussinesq equations. Moreover, if there is an unique strong solution then the dissipative solutions must coincide with the strong solution.

    Citation: Feng Cheng. On the dissipative solutions for the inviscid Boussinesq equations[J]. AIMS Mathematics, 2020, 5(4): 2869-2876. doi: 10.3934/math.2020184

    Related Papers:

  • In this paper, we study the dissipative solutions for the inviscid Boussinesq equations. It is shown that there is at least one dissipative solution for the inviscid incompressible Boussinesq equations. Moreover, if there is an unique strong solution then the dissipative solutions must coincide with the strong solution.


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