Aims: (1) study of nonlinear stability in the mean of rest state of viscous or inviscid fluids; (2) study of nonlinear asyptotical decay of perturbations to rest state} of viscous fluids. Tools: (1) conservation laws for the construction of a Ljapunov functional; (2)] suitable choice of test functions in the weak formulation of the problem. Results: (I) it is stable any rest state that is a proper minimum for E where E is the total energy, S the entropy; (II) any dissipative system (having V( u) not 0, k is asyptotically converging to the rest state. Here we consider conservative external forces in order to have only rest state as steady motion.
The role of free work in viscous compressible flows
PADULA, Mariarosaria
2006
Abstract
Aims: (1) study of nonlinear stability in the mean of rest state of viscous or inviscid fluids; (2) study of nonlinear asyptotical decay of perturbations to rest state} of viscous fluids. Tools: (1) conservation laws for the construction of a Ljapunov functional; (2)] suitable choice of test functions in the weak formulation of the problem. Results: (I) it is stable any rest state that is a proper minimum for E where E is the total energy, S the entropy; (II) any dissipative system (having V( u) not 0, k is asyptotically converging to the rest state. Here we consider conservative external forces in order to have only rest state as steady motion.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.