Publication: Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion
Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion
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Amann, H., & Walker, C. (2005). Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Journal of Differential Equations, 218(1), 159–186. https://doi.org/10.1016/j.jde.2004.09.004
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We consider the diffusive continuous coagulation–fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation.
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Amann, H., & Walker, C. (2005). Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Journal of Differential Equations, 218(1), 159–186. https://doi.org/10.1016/j.jde.2004.09.004