Stable Coastline between Two Groins Equation

Stable vortex solitons in the two-dimensional Ginzburg-Landau equation.

In the framework of the complex cubic-quintic Ginzburg-Landau equation, we perform a systematic analysis of two-dimensional axisymmetric doughnut-shaped localized pulses with the inner phase field in the form of a rotating spiral. We put forward a qualitative argument which suggests that, on the contrary to the known fundamental azimuthal instability of spinning doughnut-shaped solitons in the ...

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Stable repeated strategies for information exchange between two autonomous agents

This paper deals with the problem of designing a strategy profile which will enable collaborative interaction between agents. In particular, we consider the problem of information sharing among agents. Providing information in a single interaction as a response to queries is often nonbeneficial. But there are stable strategy profiles that make sharing information beneficial in the long run. Thi...

Floridian Coastline Recession

Rising sea levels are of significant concern as global temperatures continue to mount. Predicted increases in sea level place coastal regions and cities in danger. This danger is far from uniform; many factors contribute to the relative infiltration of water and its consequent effect on land. Naive considerations of elevation alone would result in a poor model of what happens in real life. This...

Yang–mills Equation for Stable Higgs Sheaves

We establish a Kobayashi-Hitchin correspondence for the stable Higgs sheaves on a compact Kähler manifold. Using it, we also obtain a Kobayashi-Hitchin correspondence for the stable Higgs G–sheaves, where G is any complex reductive linear algebraic group.