A system for warming or cooling a mammal by affecting blood flow to a portion of the body that is warmed or cooled, the system. The system has at least one magnet having a magnetic field. The at least one magnet contacts, directly or indirectly, the body portion, a second body portion, or combinations thereof to increase blood flow, minimize vasoconstriction and/or encourage vasodilation. The system may have a heating or cooling source for delivering a thermal energy to the surface of the body portion while the at least one magnets increase blood flow, minimize vasoconstriction and/or encourage vasodilation, so that the vasodilation in the body or increased blood flow promotes absorption and transfer of the thermal energy from the body portions surface to the mammals core body.