On the existence of solutions for inextensible string equations

Description:  In this talk, we analyze existence of solutions for inextensible string equations. In particular, we have results in two directions. On one hand, we find explicit traveling wave solutions for a system of hyperbolic conservation laws resulting from inextensible string equations via suitable change of variables. Then, we relate this solution with entropy and shock-wave solutions for which an established theory already exists. On the other hand, we consider the problem with periodic boundary conditions and show local existence of solutions using well-studied results related to the wave equation. Date:  2018-11-23 Start Time:   12:30 Speaker:  Ayk Telciyan (UC|UP PhD programme student) Institution:  UC|UP PhD programme Place:  Sala 2.5, DMat UC See more:   <Main>   <UC|UP MATH PhD Program>