The incompatibility operator arises in the modeling of elastic materials with dislocations and in the intrinsic approach to elasticity, where it is related to the Riemannian curvat...
Inspired by numerical studies of the aggregation equation, we study the effect of regularization on nonlocal interaction energies. We consider energies defined via a repulsiveatt...
In this work we consider stability of recovery of the conductivity and attenuation coefficients of the stationary Maxwell and Schr¨odinger equations from a complete set of (Cauchy...
We study the asymptotic behavior of solutions to dissipative wave equations involving two non-commuting self-adjoint operators in a Hilbert he main result is that the abstract di...
The spectrum structures and behaviors of the Vlasov-Maxwell-Boltzmann (VMB) systems for both two species and one species are studied in this paper. The analysis shows the effect ...
A technical obstruction preventing the conclusion of nonlinear stability of large-Froude number roll waves of the St. Venant equations for inclined thin film flow is the ”slope...
In the spectral stability analysis of localized patterns to singular perturbed evolution problems, one often encounters that the Evans function respects the scale separation. In s...
We consider three problems for the Helmholtz equation in interior and exterior domains in Rd , (d = 2, 3): the exterior Dirichlet-to-Neumann and Neumannto-Dirichlet problems for ou...
We introduce a new density for the representation of quantum states on phase space. It is constructed as a weighted difference of two smooth probability densities using the Husimi...