4 papers
Existence and density conservation using a non-conservative approximation for Safronov-Dubovski aggregation equation
Sonali Kaushik, Rajesh Kumar
The paper deals with the global existence and density conservation for the Safronov-Dubovski equation for three different coefficients such that $ϕ_{i,j} \leq \frac{(i+j)}{\min…
A Novel Optimized Decomposition Method for Smoluchowski's Aggregation Equation
Sonali Kaushik, Rajesh Kumar
The Smoluchowski's aggregation equation has applications in the field of bio-pharmaceuticals \cite{zidar2018characterisation}, financial sector \cite{PUSHKIN2004571}, aerosol scien…
Theoretical analysis of a discrete population balance model for sum kernel
Sonali Kaushik, Rajesh Kumar, Fernando P. da Costa
The Oort-Hulst-Safronov equation, shorterned as OHS is a relevant population balance model. Its discrete form, developed by Dubovski is the main focus of our analysis. The existenc…
Existence and Uniqueness of Mass Conserving Solutions to Safronov-Dubovski Coagulation Equation for Product Kernel
Sonali Kaushik, Rajesh Kumar
The article presents the existence and mass conservation of solution for the discrete Safronov-Dubovski coagulation equation for the product coalescence coefficients such that…