+44-7360-538437Novelties in additive manufacturing and bio-printing
3rd International Conference on Applied Physics
August 23-24, 2018 | London, UK
Carey Caginalp
University of Pittsburgh, USA
Posters & Accepted Abstracts : J Appl Math Stat App
Abstract:
Nonlinear conservation laws subject to random initial conditions pose fundamental problems in the evolution and interactions of shocks and rarefactions. Using a discrete set of values for the solution, we derive a hierarchy of equations in terms of the states in two different methods. This hierarchy involves the n-point function, the probability that the solution takes on various values at different positions, in terms of the n+ 1-point function. In the first approach, these equations can be closed but the resulting solutions do not persist through shock interactions. In our second approach, the n-point function is expressed in terms of the n+ 1-point functions, and remains valid through collisions of shocks.
Biography:
E-mail:
carey_caginalp@alumni.brown.eduPDF HTML