Publications [#330285] of Alexander A. Kiselev

Papers Published

1. Choi, K; Kiselev, A; Yao, Y, Finite Time Blow Up for a 1D Model of 2D Boussinesq System, Communications in Mathematical Physics, vol. 334 no. 3 (March, 2015), pp. 1667-1679, Springer Nature [doi]
   (last updated on 2026/01/15)

   Abstract:
   The 2D conservative Boussinesq system describes inviscid, incompressible, buoyant fluid flow in a gravity field. The possibility of finite time blow up for solutions of this system is a classical problem of mathematical hydrodynamics. We consider a 1D model of the 2D Boussinesq system motivated by a particular finite time blow up scenario. We prove that finite time blow up is possible for the solutions to the model system.