Classical Stability of Black Branes

Classical stability behaviors of various static black brane backgrounds under small perturbations have been summarized briefly. They include cases of black strings in AdS$_5$ space, charged black $p$-brane solutions in the type II supergravity, and the BTZ black string in four-dimensions. The relationship between dynamical stability and local thermodynamic stability - the so-called Gubser-Mitra conjecture - has also been checked for those cases.