The Existence of Weak Solutions to the 2D Euler Equations with Initial Vorticity in BMO

2007 ◽  
Vol 23 (10) ◽  
pp. 1881-1888 ◽  
Author(s):  
Xiang Rong Zhu
Keyword(s):  
Euler Equations ◽  
Weak Solutions ◽  
Existence Of Weak Solutions ◽  
Initial Vorticity ◽  
2D Euler Equations

EXISTENCE OF SOLUTIONS WITH MOVING PHASE BOUNDARIES IN THERMOELASTICITY

2008 ◽  
Vol 05 (03) ◽  
pp. 589-611 ◽  
Author(s):  
HARUMI HATTORI
Keyword(s):  
Phase Transitions ◽  
Euler Equations ◽  
Weak Solutions ◽  
Existence Of Solutions ◽  
Entropy Condition ◽  
Phase Boundaries ◽  
Kinetic Relation ◽  
Two Phase ◽  
Existence Of Weak Solutions ◽  
Dynamic Phase

We discuss the existence of weak solutions with moving phase boundaries in thermoelasticity related to dynamic phase transitions. One of the goals is to study the dynamical consequence of the stable and metastable states defined in this paper. We use the entropy condition and the kinetic relation as the main admissibility criteria to study the above goals for the Euler equations with nonmonotone constitutive relation. We discuss the case where there are two noninteracting phase boundaries moving in the opposite directions. A modification to treat the case where the two phase boundaries collide is also discussed.

Sign in / Sign up

Export Citation Format

Share Document