We are concerned with the Prandtl-Meyer reflection configurations of unsteady global solutions for supersonic flow impinging upon a symmetric solid wedge. Prandtl (1936) first employed the shock polar analysis to show that there are two possible steady configurations: the steady weak and strong shock solutions.

Uploaded March 2025

This paper is devoted to the study of pointwise convergence of Fourier series for group von Neumann algebras and quantum groups. It is well-known that a number of approximation properties of groups can be interpreted as summation methods and mean convergence of the associated noncommutative Fourier series.

Uploaded March 2025

We consider minimizing harmonic maps u from Ω ⊂ Rn into a closed Riemannian manifold N and prove: (1) an extension to n ≥ 4 of Almgren and Lieb’s linear law. That is, if the fundamental group of the target manifold N is finite, we have.

We investigate the local properties, including the nodal set and the nodal properties of solutions to a parabolic problem of Muckenhoupt-Neumann type.

Uploaded March 2025

We introduce a framework to justify hydrodynamic limits of the Vlasov-Navier-Stokes system. We specifically study high friction regimes, which take into account the fact that particles of the dispersed phase are light (resp. small) compared to the fluid part, and lead to the derivation of Transport-Navier-Stokes (resp. Inhomogenous Navier-Stokes) systems.

Uploaded March 2025

We introduce coordinates on the spaces of framed and decorated representations of the fundamental group of a surface with nonempty boundary into the symplectic group Sp(2n, R). These coordinates provide a noncommutative generalization of the parametrizations of the spaces of representations into SL(2, R) or PSL(2, R) given by Thurston, Penner, Kashaev and Fock–Goncharov.

Uploaded March 2025

Max Dehn (1878-1952) is known to mathematicians today for his seminal contributions to geometry and topology-Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert's famous problems.

Uploaded March 2025

We investigate periods, quasi-periods, logarithms, and quasi-logarithms of Anderson t-modules, as well as their hyperderivatives. We develop a comprehensive account of how these values can be obtained through rigid analytic trivializations of abelian and A-finite t-modules.

Uploaded March 2025

The definitive one-stop resource on structural equation modeling (SEM) from leading methodologists is now in a significantly revised second edition. Twenty-three new chapters cover model selection, bifactor models, item parceling, multitrait-multimethod models, exploratory SEM, mixture models, SEM with small samples, and more.

Uploaded March 2025

In this paper we treat faithful actions of simple algebraic groups on irreducible modules and on the associated Grassmannian varieties. By explicit calculation, we show that in each case, with essentially one exception, there is a dense open subset any point of which has stabilizer conjugate to a fixed subgroup, called the generic stabilizer.

Uploaded March 2025