2 papers
math.AP2025
The null condition in elastodynamics leads to non-uniqueness
Shunkai Mao, Peng Qu
We consider the Cauchy problem for the system of elastodynamic equations in two dimensions. Specifically, we focus on materials characterized by a null condition imposed on the qua…
math.AP2025
Non-uniqueness for the nonlinear dynamical Lamé system
Shunkai Mao, Peng Qu
We consider the Cauchy problem for the nonlinear dynamical Lamé system with double wave speeds in a -dimensional periodic domain. Moreover, the equations can be trans…