Abstract We consider the local existence and uniqueness of solutions for a system consisting an inviscid fluid with free boundary, modeled by Euler equations, in domain enclosed elastic which evolves according to wave equation. derive priori estimates also conclude uniqueness. Both, are obtained under assumption that data belongs $$H^{r}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML...

We study a problem in which firm sets prices for products based on the transaction data, i.e., product past customers chose from an assortment and what were historical that they observed. Our approach does not impose model distribution of customers' valuations only assumes, instead, purchase choices satisfy incentive-compatible constraints. The individual valuation each customer can then be enc...

In this paper we present an investigation of a number of alternative linguistic feature context sets for HMM and DNN textto-speech synthesis. The representation of positional values is explored through two alternatives to the standard set of absolute values, namely relational and categorical values. In a preference test the categorical representation was found to be preferred for both HMM and D...