Weak compactness techniques and coagulation equations

The asymptotic behavior of the solution of an infinite set of Smoluchowski’s discrete coagulation-fragmentation-diffusion equations with non-homogeneous Neumann boundary

Smoluchowski coagulation equation for a class of homogeneous coagulation rates of degree λ ∈ [ 0, 2). We then extend this existence result to a measure framework allowing dust

nuous functions from E into itself which can be approximated uniform- ly by Lipschitzean functions is nowhere dense in the space of all bounded continuous

Based on many experts’ former work in the Jacobian conjecture and an essential analysis of intrinsic topology of linear maps, I completely prove the Jacobian conjecture by

Abstract The existence of weak solutions to the continuous coagulation equation with mul- tiple fragmentation is shown for a class of unbounded coagulation and fragmentation

The proof requires two steps: a dynamical approach is first used to construct stationary solutions under the additional assumption that the coagulation kernel and the

Since the works by Ball & Carr [2] and Stewart [24], several articles have been devoted to the existence and uniqueness of solutions to the SCE for coagulation kernels which

We actually provide a positive lower bound on E which guarantees the global existence of weak solutions to (1.1) and extends the results of [3, 5] to a broader class of