Initial-value problems with inflow boundaries for Maxwell fluids

SIAM Journal on Mathematical Analysis

Volumn 27, Issue 4, 1996, Pages 914-931

  Renardy, Michael ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Inflow boundaries; Local existence; Polymer rheology

Indexed keywords

EID: 0030535513     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141094265912     Document Type: Article

References (4)

1. J. L. LIONS AND E. MAGENES, Non-Homogeneous Boundary Value Problems and Applications I, Springer-Verlag, Berlin, Heidelberg, 1972.
2. M. RENARDY, Inflow boundary conditions for steady flows of viscoelastic fluids with differential constitutive laws, Rocky Mountain J. Math., 18 (1988), pp. 445-453; Corrigendum, 19 (1989), p. 561.
3. _, Local existence of solutions of the Dirichlet initial-boundary value problem for incompressible hypoelastic materials, SIAM J. Math. Anal., 21 (1990), pp. 1369-1385.
4. _, An alternative approach to inflow boundary conditions for Maxwell fluids in three space dimensions, J. Non-Newtonian Fluid Mech., 36 (1990), pp. 419-425.