3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2008
Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller--Segel type models
M. Di Francesco, D. Donatelli
In this paper we deal with diffusive relaxation limits of nonlinear systems of Euler type modeling chemotactic movement of cells toward Keller--Segel type systems. The approximatin…
math.AP2008★ 1 cited
On the artificial compressibility method for the Navier Stokes Fourier system
Donatella Donatelli
This paper deals with the approximation of the weak solutions of the incompressible Navier Stokes Fourier system. In particular it extends the artificial compressibility method for…
math.AP2002★ 3 cited
Convergence of Singular Limits for Multi-D Semilinear Hyperbolic Systems to Parabolic Systems
Donatella Donatelli, Pierangelo Marcati
In this paper we investigate the zero-relaxation limit of the following multi-D semilinear hyperbolic system in pseudodifferential form: W_{t}(x,t) + (1/epsilon) A(x,D) W(x,t) = (1…