Singular and regular solutions of a nonlinear parabolic system
Singular and regular solutions of a nonlinear parabolic system
We study a dissipative nonlinear equation modelling certain features of the Navier–Stokes equations. We prove that the evolution of radially symmetric compactly supported initial data does not lead to singularities in dimensions n⩽4. For dimensions n>4, we present strong numerical evidence supporting the existence of blow-up solutions. Moreover, using the …