The continuous coagulation and nonlinear multiple fragmentation equation

Ankik Kumar Giri; Prasanta Kumar Barik

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The continuous coagulation and nonlinear multiple fragmentation equation

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arxiv 1802.07969 v2 pith:GB52O5BW submitted 2018-02-22 math.AP

The continuous coagulation and nonlinear multiple fragmentation equation

Prasanta Kumar Barik , Ankik Kumar Giri This is my paper

classification math.AP

keywords coagulationbreakupcollisioncontinuousfragmentationkernelsmultiplenonlinear

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The present paper deals with the existence and uniqueness of global classical solutions to the continuous coagulation and nonlinear multiple fragmentation equations for large classes of unbounded coagulation, collision and breakup kernels. In addition, it is shown that solutions are mass conserving. The coagulation and breakup kernels may have singularities on both the co-ordinate axes whereas the collision kernel grows up to bilinearity.

The continuous coagulation and nonlinear multiple fragmentation equation

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