Abstract
We prove the existence of infinitely many radial solutions for a system of equations in $\mathbb R^3$. Numerically, that is supposed to give the profile of an asymptotic self-similar blow-up solution of the Zakharov system in dimension three. For this, we use several techniques of ordinary differential equations and especially a kind of shooting method. Moreover, we give some properties of solutions, monotonicity, estimates at infinity and integral relations.
Citation
Vincent Masselin. "Existence of a solution for a system related to the singularity for the 3D Zakharov system." Adv. Differential Equations 6 (10) 1153 - 1172, 2001. https://doi.org/10.57262/ade/1357140391
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