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When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. With today’s historic and incredibly exciting announcement of the first ever detection of ...

We show that the wave map equation in ${\bf R}^{1+1}$ is in general ill posed in the critical space $\dot{H}^{1/2}$, and the Besov space $\dot{B}_{2}^{1/2,1}$. The ...

Wind-wave maps are preliminary knowledge for marginal sea. From the scientific aspect, wind-wave modifies the vertical structure of atmospheric wind and oceanic current thus plays an important role in ...

The S² valued wave map flow on a Lorentzian domain ℝ × ∑, where ∑ is any flat two-torus, is studied. The Cauchy problem with initial data tangent to the moduli space of holomorphic maps ∑ → S² is ...

Wind-wave maps are preliminary knowledge for marginal sea. From the scientific aspect, wind-wave modifies the vertical structure of atmospheric wind and oceanic current thus plays an important role in ...