Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable

In this paper, we are concerned with the global wellposedness of 3-D inhomogeneous incompressible Navier-Stokes equations \eqref{1.3} in the critical Besov spaces with the norm of which are invariant by the scaling of the equations and under a nonlinear smallness condition on the isentropic critical Besov norm to the fluctuation of the initial density and the critical anisotropic Besov norm of the horizontal components of the initial velocity which have to be exponentially small compared with the critical anisotropic Besov norm to the third component of the initial velocity. The novelty of this results is that the isentropic space structure to the homogeneity of the initial density function is consistent with the propagation of anisotropic regularity for the velocity field. In the second part, we apply the same idea to prove the global wellposedness of \eqref{1.3} with some large data which are slowly varying in one direction

The Impact of the Judiciary on Economic Activity

This paper examines the consequences of slow judiciaries on firms' contracting behaviour in India. After deriving testable implications from a game theoretical model, I examine how case pendency rates in India's state courts affect the contracting behaviour of 170,000 small non-agricultural informal firms from the 2000 National Sample Survey's 55th round. I find that a slow judiciary implies more breaches of contract, discourages firms from undertaking relationship-specific investments, impedes firms' access to formal financial institutions, and favours inefficient dynasties. Moving a firm from the highest to the lowest pendency state would result in a 10% improvement in firm performance.Law and economics, Institutions, Courts, Contracts, Industrial Organisation, Economic Growth, Industrial Performance

The Impact of the Judiciary on Entrepreneurship: Evaluation of Pakistan's Access to Justice Programme

A key element of government is to uphold law and order. This paper will evaluate the impact of slow judiciaries on entrepreneurship. In 2002 a judicial reform was implemented in 6 of Pakistan's 117 districts to facilitate rapid case disposal. Drawing on a panel dataset of 875 district judges' performance between 2001 and 2003, a difference-in-differences analysis shows that judges disposed of 25 percent more cases thanks to the reform. Three rounds of the Labour Force Surveys will be then used to show that the reform improved security of property rights, encouraged people to seek loans, fostered entrepreneurship and was associated with increased transition from unemployment and paid employment to entrepreneurship.Legal System, Entrepreneurship

Does Judicial Quality Shape Economic Activity? Evidence from a Judicial Reform in India

This paper investigates the impact of judiciaries on firms' contracting behaviour and economic performance. In 2002, the Code of Civil Procedure Amendment Act was enacted in India to facilitate speedy disposal of civil suits. Some State High Courts hal already enacted some of the amendments contained in this reform a long time ago. This spatial variation in the reform's implementation is used to identify the effect of judicial quality on firm's behavior. Using small informal firm data, I find that the reform led to fewer breaches of contract, encouraged investment, facilitated access to finance, and expanded rental markets.Law and economics, Institutions, Courts, Contracts, Industrial Organisation, Economic Growth, Industrial Performance

Do Criminals Politicians Reduce Corruption? Evidence from India

This paper relates unique data on criminal records of local politicians in India to corruption, crime and poverty. Using a regression discontinuity design, whereby individuals living in districts where a criminal politician barely won are compared to individuals living in districts where a criminal politician barely lost, this paper shows that criminal politicians reduce bribe-taking behavior of law and order officials by 34 percent. One possible explanation for this result is that when interests of politicians and those of interest groups converge, criminal politicians' control over bureaucrats acts as a substitute for bribes from these interest groups. This is not to say that criminal politicians should be elected to eradicate corruption, but rather that corruption is underestimated if only measured by bribe-taking without taking into account political control: as less bribes need to be paid, criminal offences, similar to those mostly committed by criminal politicians, increase by 25 percent. Moreover, the urban headcount ratio, the welfare of those not connected with politicians, increases by 22 percent.Mother's labour supply, preschool and primary school children, childcare policy, treatment effects, natural experiment

Decoding the Code of Civil Procedure: Do Judiciaries Matter for Growth?

This paper attempts to measure the causal impact of the speed of judiciaries on economic activity by using two novel instrumental variables measuring judicial procedural ambiguity and complexity. First, I find that temporally exogenous conflicting judicial decisions taken in India due to the Code of Civil Procedure's ambiguity lead to higher expected trial duration as judges are required to spend considerable time in choosing between several conflicting views. Second, I find that Inidan High Court amendments complicating procedures to treat a case are related to higher trial duration. By using spatial and temporal variations in the occurrence of conflicting decisions and enactment of amendments as instrumental variables, I am able to measure the impact of judicial speed on credit markets, agricultural development and manufacturing performance.Law and economics, Institutions, Courts, Economic Growth, Industrial Performance

Large, global solutions to the Navier-Stokes equations, slowly varying in one direction

In to previous papers by the authors, classes of initial data to the three dimensional, incompressible Navier-Stokes equations were presented, generating a global smooth solution although the norm of the initial data may be chosen arbitrarily large. The aim of this article is to provide new examples of arbitrarily large initial data giving rise to global solutions, in the whole space. Contrary to the previous examples, the initial data has no particular oscillatory properties, but varies slowly in one direction. The proof uses the special structure of the nonlinear term of the equation.Comment: References adde

On the global wellposedness of the 3-D Navier-Stokes equations with large initial data

We give a condition for the periodic, three dimensional, incompressible Navier-Stokes equations to be globally wellposed. This condition is not a smallness condition on the initial data, as the data is allowed to be arbitrarily large in the scale invariant space $B^{-1}\_{\infty,\infty}$, which contains all the known spaces in which there is a global solution for small data. The smallness condition is rather a nonlinear type condition on the initial data; an explicit example of such initial data is constructed, which is arbitrarily large and yet gives rise to a global, smooth solution