2 papers
math.AP2026
Pointwise mean-value formulas with quantitative remainder for higher-order Poisson equations
Fernando Charro, Sophia Hertrich, Catherine Lebiedzik
Higher-order Poisson equations involve an integer power of the Laplacian and a nonzero forcing term, and appear in areas of physics and engineering such as hydrodynamics, structura…
math.AP2025
Stationary solutions with vacuum for a hyperbolic-parabolic chemotaxis model in dimension two
Sophia Hertrich, Tao Huang, Diego Yépez +1
In this research, we study the existence of stationary solutions with vacuum to a hyperbolic-parabolic chemotaxis model with nonlinear pressure in dimension two that describes vasc…