EulerPoisson
EulerPoisson refers to a class of partial differential equations that combine aspects of Euler's equations for fluid dynamics and Poisson's equation from electrostatics. These equations typically arise in situations where both fluid motion and electromagnetic fields are significant and interact with each other. A common example is the magnetohydrodynamics (MHD) framework, where the motion of a conducting fluid is influenced by and also influences magnetic fields.
In such contexts, Euler's equations describe the conservation of mass, momentum, and energy for the fluid. Poisson's
The mathematical structure of EulerPoisson systems can be complex, often involving nonlinearities and coupled equations. Solving