4 papers
Nonlinear aggregation-diffusion equations with Riesz potentials
Yanghong Huang, Edoardo Mainini, Juan Luis Vázquez +1
We consider an aggregation-diffusion model, where the diffusion is nonlinear of porous medium type and the aggregation is governed by the Riesz potential of order s. The addition o…
Uniqueness of entire ground states for the fractional plasma problem
Hardy Chan, María del Mar González, Yanghong Huang +2
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground states, to some semilinear fractional elliptic equations. In particular, we treat th…
Zoology of a non-local cross-diffusion model for two species
J. A. Carrillo, Y. Huang, M. Schmidtchen
We study a non-local two species cross-interaction model with cross-diffusion. We propose a positivity preserving finite volume scheme based on the numerical method introduced in R…
Explicit Equilibrium Solutions For the Aggregation Equation with Power-Law Potentials
José A. Carrillo, Yanghong Huang
Despite their wide presence in various models in the study of collective behaviors, explicit swarming patterns are difficult to obtain. In this paper, special stationary solutions…