The place of philosophy of law between justice and efficiency

A discussion regarding the complex relationship that exists between the concepts of efficiency and justice goes a long way back and raises several relevant arguments. One of them, and it must be rejected in advance, is that justice is in the realm of public law, while efficiency in that of private law. Is it unacceptable that the balance between public and private law leads to the belief of a divided legal system; one system, one set of laws, one legal system. Legislators and judges are responsible for determining a balance and no theory can postulate that the balance will always be found with a simple cut between public and private law to distinguish when the criterion should be justice or when it should be efficiency. It is reductionist to confine the discussion to single goals of efficiency and justice, when human dignity and human rights should also be considered when one is discussing law. Moreover, a discussion limited to only the concepts of justice and efficiency, relies on a belief that the terms are mutually exclusive. Posner has said that the economic analysis of law has limits and philosophy of law plays an extremely important role in this discourse, which must be interdisciplinary. There can be no goal other than the realization of human rights and there can be no justice if not shared by all of mankind

Resolvent estimates for 2 dimensional perturbations of plane Couette Flow

We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing perturbations of the Couette flow. We prove estimates on the L_2 norm of the resolvent of this operator showing this norm to be proportional to the Reynolds number R for a region of the unstable half plane. For the remaining region, we show that the problem can be reduced to estimating the solution of a homogeneous ordinary differential equation with non-homogeneous boundary conditions. Numerical approximations indicate that the norm of the resolvent is proportional to R in the whole region of interest.Comment: 16 pages, 4 figures. A mistake in the proof of Theorem 1 was corrected. The presentation was changed a little, and typos were correcte