Large mass self-similar solutions of the

Then we study the existence of fast decaying solutions of equation 1.10, positive or changing sign, according to the value of α, see theorems 3.9 and 3.6.. We give sufficient

Self-similar solutions play an important role for the (mKdV) flow: they exhibit an explicit blow up behavior, and are also related with the long time description of solutions.. Even

UNIQUENESS OF MASS-CONSERVING SELF-SIMILAR SOLUTIONS TO SMOLUCHOWSKI’S COAGULATION EQUATION WITH INVERSE POWER..

Existence of mass-conserving self-similar solutions with a sufficiently small total mass is proved for a specific class of homogeneous coagulation and fragmentation coefficients..

solutions of the gas dynamics equations (with diffusion terms added as above) in the energy as well as entropy formulation, and in either Lagran-.. gean or

These generalise the famous result for the mean curvature flow by Huisken [20], although in that case and for some other flows no curvature pinching condition on the

[Gi] GIGA, Y., Solutions for semilinear parabolic equations in L p and regularity of weak solutions of the Navier-Stokes equations with data in L p.. &

Another way to view this equation and the degeneracy comes from the nonlinear damping problem for Euler equations with vacuum.. We believe that the study in this paper will be useful