Abstract In this paper, we extend our study of mass transport in multicomponent isothermal fluids to the incompressible case. For a mixture, incompressibility is defined as independence average volume on pressure, and weighted sum partial densities stays constant. type models, velocity field Navier–Stokes equations not solenoidal and, due different specific volumes species, pressure remains con...

Abstract The Kuramoto–Velarde equation describes slow space-time variations of disturbances at interfaces, diffusion–reaction fronts and plasma instability fronts. It also Benard–Marangoni cells that occur when there is large surface tension on the interface in a microgravity environment. Under appropriate assumption initial data, time T , coefficients such equation, we prove well-posedness cla...

In this paper we establish the local and global well-posedness of the real valued fifth order Kadomstev-Petviashvili I equation in the anisotropic Sobolev spaces with nonnegative indices. In particular, our local well-posedness improves SautTzvetkov’s one and our global well-posedness gives an affirmative answer to SautTzvetkov’s L-data conjecture.