4.6 Article

Collapse Versus Blow-Up and Global Existence in the Generalized Constantin-Lax-Majda Equation

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Article Mathematics, Applied

Collapse Versus Blow-Up and Global Existence in the Generalized Constantin-Lax-Majda Equation

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Summary: The study focuses on the finite-time singularity formation versus global existence for solutions to the generalized Constantin-Lax-Majda equation, highlighting the influence of parameter a. Various behaviors are identified for different values of a, such as singularity formation, complex singularities, and the existence of solutions.

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