On global solutions of Cauchy problems for compressible Navier-Stokes equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 48, Issue 8, 2002, Pages 1087-1105

  Kawashita, Mishio ^a  

^a IBARAKI UNIVERSITY   (Japan)

Author keywords

Cauchy problems; Compressible fluid flows; Compressible Navier Stokes equations; Global solutions; Initial problems; Strong solutions

Indexed keywords

COMPRESSIBLE FLOW; DENSITY (SPECIFIC GRAVITY); HEAT CONDUCTION; INITIAL VALUE PROBLEMS; NONLINEAR SYSTEMS; PROBLEM SOLVING; TENSORS; THEOREM PROVING; VISCOSITY;

CAUCHY PROBLEMS;

NAVIER STOKES EQUATIONS;

EID: 0036497946     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00238-8     Document Type: Article

References (11)

1. 2-decay for the compressible Navier-Stokes equations in unbounded domains
2. Extended Korn's inequalities and the associated best possible constants
3. Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytoropic equation of state and discontinuous initial data
4. Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
5. Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
6. 3
7. The initial value problem for the equation of motion of compressible viscous and heat-conductive fluids
8. The initial value problem for the equation of motion of compressible viscous and heat-conductive gases
9. Initial boundary value problems for the equation of motion initial boundary value problems for the equation of motion of compressible viscous and heat-conductive fluids
10. Global existence of small solutions to a class of nonlinear evolution equations