Myra White's Answer:
You are unlikely to make much headway with your team unless they understand their interdependencies and trust each other. Team members need to see that working together is in their self interest and will make their work easier. Without this awareness, they will view team meetings as a burden that cuts into their busy working day.
Your first step should be to make sure that there is a common agenda that everyone embraces and is in everyone's best interests. You also need to show the team that as their manager you are looking out for their interests within the organization and lobbying for resources that they need to function effectively.
The other factor that is critical to successful teams is trust. There are two types of trust that are important in teams. One is affective trust which is based on social bonds among team members and the other is task-related trust which is based on team members' assessments of the ability of other team members to deliver. Based on your comments there currently appears to be little trust among team members and the team also does not fully trust you.
One suggestion is that you work on strengthening your social bonds with team members. Start expecting the best from them. Even though you may not state your concerns and frustration with your team concerning their behaviors, they will sense it and as a result, tend to be reluctant to trust you.
Try to create an environment filled with positive energy and enthusiasm for the important work that all of you are doing. Try and rally them around a common agenda which everyone believes is important for their personal success and the success of your institute.
Another way to build trust is to provide the team with unexpected resources or opportunities to demonstrate their expertise to larger audiences in ways that will help their careers.
With regard to your supervisor, I would suggest that you read my column on managing your boss. Understanding your supervisor's needs is the best way to enlist your supervisor's support. Like everyone bosses feel that their needs come first and that their reports should be there to support them. If you need more support than your supervisor can provide, you should consider getting outside coaching in order not to jeopardize your relationship with your supervisor.