Asymptotics and numerics of a family of two-dimensional generalized surface quasi-geostrophic equations
Asymptotics and numerics of a family of two-dimensional generalized surface quasi-geostrophic equations
We study the generalised 2D surface quasi-geostrophic (SQG) equation, where the active scalar is given by a fractional power α of Laplacian applied to the stream function. This includes the 2D SQG and Euler equations as special cases. Using Poincaré’s successive approximation to higher α-derivatives of the active scalar, we …