Publications by authors named "Jalal Shatah"
Article Synopsis
- - The paper proposes a unique set of variables to derive a kinetic equation for energy density in nonisotropic systems, focusing on internal gravity waves and other wave types.
- - A second quadratic invariant is identified, simplifying the kinetic equation and resulting in additional conservation laws for resonant interactions.
- - The research reveals an inverse energy cascade for internal gravity waves, indicating that energy moves from smaller scales to larger scales in real-world situations.
The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons(magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation laws for the topological vorticity and the weak convergence methods.
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