We construct an invariant measure $\mu$ for the Surface Quasi-Geostrophic (SQG) equation and show that almost all functions in support of are initial conditions global, unique solutions SQG, depend continuously on data. In addition, we is infinite dimensional, meaning it not locally a subset any compact set with finite Hausdorff dimension. Also, there global have arbitrarily large condition. Th...

In this paper we establish a number of implications between various qualitative and quantitative versions of the global regularity problem for the Navier-Stokes equations, in the periodic, smooth finite energy, smooth H, Schwartz, or mild H categories, and with or without a forcing term. In particular, we show that if one has global well-posedness in H for the periodic Navier-Stokes problem wit...

Papers published in Hydrology and Earth System Sciences Discussions are under open-access review for the journal Hydrology and Earth System Sciences Abstract An integrated global water resources model was developed consisting of six modules: land surface hydrology, river routing, crop growth, reservoir operation, environmental flow requirement estimation, and anthropogenic water withdrawal. It ...

The sensitivity of tropical temperature to glacial forcing is examined by using an atmosphere–mixed layer ocean (A–MLO) model to simulate the climate of the last glacial maximum (LGM) following specifications established by the Paleoclimate Modeling Intercomparison Project. Changes in continental ice, orbital parameters, atmospheric CO2, and sea level constitute a global mean radiative forcing ...

MARCH 2003 AMERICAN METEOROLOGICAL SOCIETY | T his commentary describes how an examination of the global heat budget allows a straightforward explanation for understanding one of the consequences of human changes in the composition of the earth’s atmosphere. Data and analysis provided in Levitus et al. (2000, 2001) on increases in heat stored within the world’s oceans provide a unique opportuni...

Theory and model evidence indicate a higher global hydrological sensitivity for the same amount of surface warming to solar as greenhouse gas (GHG) forcing, but regional patterns are highly uncertain due their dependence on circulation dynamics. We analyse multi-model ensemble idealized experiments set simulations last millennium we demonstrate similar signatures forced response in tropical Pac...