Forced two layer beta-plane quasi-geostrophic flow

We consider a model of quasigeostrophic turbulence that has proven useful in theoretical studies of large scale heat transport and coherent structure formation in planetary atmospheres and oceans. The model consists of a coupled pair of hyperbolic PDEÂs with a forcing which represents domain-scale thermal energy source. Although the use to which the model is typically put involves gathering information from very long numerical integrations, little of a rigorous nature is known about long-time properties of solutions to the equations. In the first part of my dissertation we define a notion of weak solution, and show using Galerkin methods the long-time existence and uniqueness of such solutions. In the second part we prove that the unique weak solution found in the first part produces, via the inverse Fourier transform, a classical solution for the system. Moreover, we prove that this solution is analytic in space and positive time

Forced two layer beta-plane quasi-geostrophic flow

We consider a model of quasigeostrophic turbulence that has proven useful in theoretical studies of large scale heat transport and coherent structure formation in planetary atmospheres and oceans. The model consists of a coupled pair of hyperbolic PDEÂs with a forcing which represents domain-scale thermal energy source. Although the use to which the model is typically put involves gathering information from very long numerical integrations, little of a rigorous nature is known about long-time properties of solutions to the equations. In the first part of my dissertation we define a notion of weak solution, and show using Galerkin methods the long-time existence and uniqueness of such solutions. In the second part we prove that the unique weak solution found in the first part produces, via the inverse Fourier transform, a classical solution for the system. Moreover, we prove that this solution is analytic in space and positive time

Forced two layer beta-plane quasigeostrophic flow. Part I: Long-time existence and uniqueness of weak solutions

AbstractWe consider a model of quasigeostrophic turbulence that has proven useful in theoretical studies of large scale heat transport and coherent structure formation in planetary atmospheres and oceans. The model consists of a coupled pair of hyperbolic PDEs with a forcing which represents domain-scale thermal energy source. Although the use to which the model is typically put involves gathering information from very long numerical integrations, little of a rigorous nature is known about long-time properties of solutions to the equations. In this first paper we define a notion of weak solution, and show using Galerkin methods the long-time existence and uniqueness of such solutions

Characterizations of Logistic Distribution through Order Statistics with Independent Exponential Shifts

The paper presents some distributional properties of logistic order statistics subject to independent exponential one-sided and two-sided shifts. Utilizing these properties, we extend several known results and obtain some new characterizations of the logistic distribution

An Analysis of the Influencing Factors of the Romanian Agricultural Output within the Context of Green Economy

The objective of this study is to analyze the trends in agriculture and the factors affecting the output of agriculture (OA) in the EU and Romania in the context of green economy. The research used the quantitative (mathematical regression function, correlation matrix, and R-squared) and qualitative (the SWOT matrix of the agriculture sector in Romania) methods. The data on Romanian agriculture were gathered from Eurostat for the period of 2006–2019. The results showed that there is a direct and positive relationship between the OA and its influencing factors. Moreover, it revealed the negative relationships between the employees in agriculture (−0.58), air pollutants (−0.49), agriculture land (−0.42), irrigation norm (−0.39), agriculture training (−0.33) and the OA, and positive relationships between the area under organic farming (0.56), the average area per holding (0.56), the number of tractors (0.53) and the OA. Romania is a country where employment and agriculture areas are greater than in other EU countries; however, the results of our research highlight the significance of a careful analysis of the influencing factors, of making the difference between the thin line of sustainable performance, of developing new measures, of reducing risks, and of gaining new knowledge and agricultural skills, as an important activity, especially for Romania