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In this talk, we consider normalized solutions of nonlinear Schrodinger equations in the plane when the nonlinearity satisfies an exponential critical growth. To study the normalized solutions by usin...
Nematic liquid crystals (NLCs) are anisotropic material intermediate that combine the fluidity of liquids with the orientational order of solids. NLCs are best known for their applications in the thri...
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
The classical Allard regularity says, a rectifiable varifold in the unit ball of the Euclidean space passing through the original point with volume density close to 1 and generalized mean curvature sm...
In this talk, we will focus on the classification of positive solutions to the critical p-Laplace equation. It is well known that such issue is crucial in many applications such as a priori estimates,...
A major Atlantic ocean current -- the Atlantic Meridional Overturning Circulation, or AMOC -- may have been losing stability in the course of the last century, according to new research. A potential c...
Researchers have provided an important road map to conserving rough-nosed horned lizards in Sri Lanka.
The sea is Earth's most formidable carbon dioxide storage machine, but mysteries abound about the interlocking processes and the myriad organisms involved.Now, thanks to NSF-funded research published ...
The World Meteorological Organization today welcomed a landmark global report by the Intergovernmental Panel on Climate Change that underscores the urgency of timely, ambitious and coordinated action ...
Concerns about biodiversity tend to focus on the loss of species from ecosystems, but a new study suggests that the loss of variation within species can also have important ecological consequences.Man...
Find related stories on NSF's Critical Zone Observatories at this link.The thin veneer of Earth's surface that stretches from the top of the forest canopy to the base of bedrock is known as the "criti...
Climate change can influence consumer populations both directly, by affecting survival and reproduction, and indirectly, by altering resources. However, little is known about the relative importance o...
The Critical Zone (CZ) is a dynamic region where rock, soil, water, air, and living biota interact to shape Earth’s surface. The Critical Zone ranges from the tops of the trees to the bottom of ground...
The thin veneer of Earth's surface that stretches from the top of the forest canopy to the base of bedrock is known as the "critical zone." It's where fresh water flows, rock turns to soil, and life f...
There is staggering diversity in the number of flowers produced by each of the 2,800 or so species of plants in the nightshade family, which includes economically important crops such as tomatoes, pep...

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