Una equazione parabolica in teoria della combustione: problemi diretti ed inversi
The Lyapunov direct method is applied to study nonlinear exponential stability of a basic motionless state to imposed linear temperature and concentration fields of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme. Stress-free and rigid surfaces are considered and absence of Hopf bifurcation is assumed. We prove the coincidence of the linear and (unconditional) nonlinear critical stability limits, when the ratio between the Schmidt and the Prandtl numbers is...
Si fornisce un teorema di unicità per moti stazionari regolari di fluidi compressibili, viscosi, termicamente conduttori, svolgentisi in regioni limitate dello spazio fisico.