The paper applies the established theories of non-linear diffusion and flows driven by surface tension to the dynamical behavior of a miscible mixture. Results are presented for the dissolution of particles initially created by spinodal decomposition but which are subsequently heated into a region of miscibility. The resulting non-linear diffusion and concentration-driven flows are simulated for a 2D system using zero flux and no slip boundary conditions at the walls. Computer simulations provide valuable information regarding the role of hydrodynamics in the dissolution process. (C) 2003 Elsevier Ltd. All rights reserved.