Formulated and intensively studied at the beginning of the nineteenth century, the classical
partial differential equations of mathematical physics represent the foundation of our …

In this paper we continue to develop an alternative viewpoint on recent studies of Navier–
Stokes regularity in critical spaces, a program which was started in the recent work by Kenig …

The Euclidean version of the Yang-Mills theory is studied in four dimensions. The field is
expressed non-linearly in terms of the basic variables. The field is developed inductively …

In this paper, we present a new way to associate a finitely summable spectral triple to a
higher-rank graph Λ, via the infinite path space Λ∞ of Λ. Moreover, we prove that this …

We present a Parseval tight wavelet frame for the representation and analysis of velocity
vector fields of incompressible fluids. Our wavelets have closed form expressions in the …

Motivated by image processing and numerical wavelet methods for partial differential
equations, we study the theoretical interactions between wavelets and the diffusion …

In this paper we construct IR n-valued biorthogonal, compactly supported multiwavelet
families such that one of the biorthogonal pairs consists of divergence-free vector wavelets …

In this paper, we present two new ways to associate a spectral triple to a higher-rank graph
$\Lambda $. Moreover, we prove that these spectral triples are intimately connected to the …

This manuscript gives a construction of divergence-free multiwavelets which combines the
Hardin-Marasovich (HM) construction with a recipe of Strela for increasing or decreasing …

Euler derived equations that describe inertial motions of rigid bodies [22] and inviscid
incompressible fluids [23] and Moreau observed that the motions are geodesies (for the …