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A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation
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In general, the non-conservative approximation of coagulation-fragmentation equations (CFEs) may lead to the occurrence of gelation phenomenon. In this article, it is shown that the non-conservative approximation of CFEs can also provide the existence of mass conserving solutions to CFEs for large classes of unbounded coagulation and fragmentation kernels.
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Finite volume convergence analysis and error estimation for non-linear collisional induced breakage equation
A finite volume scheme for the collisional-induced breakage equation is shown to converge weakly and to have first-order error on uniform meshes for sufficiently smooth kernels.
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