Existence to solutions of a kinetic aerosol model
نویسندگان
چکیده
Consider small particles of varying size being transported by a fluid. If we allow these particels to coalesce their evolution may be described by the coagulation model ft + p m .∇xf = Q(f) . Here f denotes the particle density f(t, x, m, p) of particles with mass m ∈ R+, momentum p ∈ R3, at time t > 0 and position x ∈ R3. For a general class of collion operators Q we prove existence of solutions. Under some natural restriction on the initial data we have existence without blowup of the solution.
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