The Annals of Applied Probability, Vol. 28, No. 3 (June 2018), pp. 1943-1976 (34 pages) The initial-boundary value problem for the heat equation is solved by using an algorithm based on a random walk ...

Blow-up solutions in semilinear heat equations refer to phenomena where solutions become unbounded in finite time, an occurrence that has far‐reaching implications for the study of nonlinear partial ...

The Fédération Internationale de l’Automobile (FIA) announced, for the first time in Formula 1 history, the enforcement of ...

We give a new proof of the fact that the solutions of the stochastic heat equation, started with nonnegative initial conditions, are strictly positive at positive times. The proof uses concentration ...

The FIA has invoked its "heat hazard" regulation for the first time at a Formula One race because of the high temperatures ...

The study of controllability for parabolic and heat equations focuses on the capability to steer the temporal evolution of diffusion-dominated processes towards desired states. Central to this field ...

This week’s Singapore Grand Prix has been declared a “heat hazard.” That means cars must carry cooling equipment.