Large time behaviour of solutions to nonhomogeneous diffusion equations

variant of a result of De Lellis and Székelyhidi [11] (cf. Remark 3.2 below) and show the existence of infinitely many global-in-time 3 weak solutions to the problem (1.1)–(1.6) for

In 1995, Constantin, Foias, Kukavica, and Majda had shown that the 2-D space periodic Navier–Stokes equations have a rich set of the solutions that exist for all times t ∈ R and

In order to obtain Schauder esti- mates on solutions at this particular point we need to derive a priori estimates.. on asymptotic polynomials and error

They proved that the large time behaviour of a nonnegative solution of the convection-diffusion problem (CD) 1 taking any integrable initial datum 0 is given by

The existence of global weak solutions is proved for one-dimensional lubrication models that describe the dewetting process of nanoscopic thin polymer films on hy-

[16] DOMSHLAK, Y.: On oscillation properties of delay differencial equations with oscillating coefficients, Funct. Dif- ference Equ. P.: Oscillations of first-order delay

Clément Cancès, Thierry Gallouët. On the time continuity of entropy solutions.. The proof does not use the uniqueness of the solution... Mathematical Subject Classification:

On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages... On the