Uniqueness of weak solutions

We consider the 2D g-B´enard problem in domains satisfying the Poincar´e inequality with homogeneous Dirichlet boundary conditions. We prove the existence and uniqueness of global weak solutions. The obtained results particularly extend previous results for 2D g-Navier-Stokes equations and 2D B´enard problem.

9p koxih_kothogmih5 04-09-2020 16 3   Download

ON DELAY DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS TADEUSZ JANKOWSKI Received 21 July 2004 The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments.

14p sting12 10-03-2012 39 6   Download