Local and global well-posedness of stochastic Zakharov-Kuznetsov equation
We consider the Cauchy problem for stochastic Zakharov-Kuznetsov equation forced by a random term of additive white noise type. We obtain a local existence and uniqueness result for the solution of this problem. Our proposed technique is based on employing Banach contraction principle method, fixed point theory, Fourier analysis and some basic inequalities. We also get global existence of solution in the function space Z(s)(T). Detailed computations and implemented examples are explicitly provided.
well-posedness stochastic zakharov-kuznetsov