4 papers
Errata to Stochastic explosion and non-uniqueness for -Riccati equation
Radu Dascaliuc, Tuan N. Pham, Enrique A. Thomann +1
An error occurs in a part of the statement and proof of Proposition 2.2 in Jour. Math. Anal. and Appl., 476, (2019), 53-85 that is corrected in this erratum. The revised result rev…
Doubly stochastic Yule cascades (Part II): The explosion problem in the non-reversible case
Radu Dascaliuc, Tuan N. Pham, Enrique Thomann +1
We analyze the explosion problem for a class of stochastic models introduced in Part I (arXiv:2103.06912), referred to as doubly stochastic Yule cascades. These models arise natura…
Global regularity criteria for the Navier-Stokes equations based on one approximate solution
Tuan N. Pham
Considering the three-dimensional incompressible Navier-Stokes equations on the whole space, we address the question: is it possible to infer global regularity of a mild solution f…
On Le Jan-Sznitman's stochastic approach to the Navier-Stokes equations
Radu Dascaliuc, Tuan N. Pham, Enrique Thomann
The paper explores the symbiotic relation between the Navier-Stokes equations and the associated stochastic cascades. Specifically, we examine how some well-known existence and uni…