Computational modeling could improve how scientists and planners understand and prepare for natural disasters on our coasts ...

Simulation models typically consist of a complex bundle of mathematical equations representing physical processes. The equations are integrated to reflect interaction of the physical processes.

A class of integro-differential equations used in the kinetic theory of gases is investigated. The existence and uniqueness of solutions to the initial value problem associated with these equations is ...

Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models.

The equation models slow motion of droplets on nonhomogeneous surfaces. We show existence and Hölder continuity of a unique weak solution by a combination of smoothing and a variational method called ...

Mathematical equations, from the formulas of special and general relativity, to the Pythagorean theorem, are both powerful and pleasing in their beauty to many scientists. Here are experts ...

A simple mathematical model can account for lizard’s green-and-black pattern Tried-and-true Ising model can describe how scales color-switch as the lizard ages.

3,000 Years of Human History, Described in One Set of Mathematical Equations A surprisingly accurate model shows that warfare and military technology determined where empires arose ...