The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound ...

In the paper published in Acta Mathematica Scientia the authors study the water wave problem with critical growth. They mainly concern with the blowup and asymptotic estimates of the global solution.

This work establishes the first asymptotic stability result for multi-wave patterns in damped wave equations with partially linearly degenerate flux. The authors prove that global solutions converge ...