8 citations · 34 across the 14 of their papers we have counts for
4 papers · 2 filters
Non-uniqueness of global-in-time admissible weak solutions to the isentropic compressible Euler equations for a dense set of initial data
Daniel W. Boutros, Simon Markfelder
In recent years, the technique of convex integration has demonstrated that for some initial data (also referred to as 'wild initial data'), many PDE models of mathematical fluid me…
A Generalized Framework for Convex Integration and its Application to Geophysical Models
Daniel W. Boutros, Simon Markfelder, Edriss S. Titi
In this paper a general framework for convex integration is developed, in order to construct weak solutions to the Cauchy problem, by building on ideas from [C. De Lellis and L. Sz…
A mathematical study of an elastic-viscous-plastic sea-ice model with the Kelvin-Voigt rheology
Daniel W. Boutros, Xin Liu, Marita Thomas +1
Motivated by the elastic-viscous-plastic (EVP) sea-ice model [E. C. Hunke and J. K. Dukowicz, J. Phys. Oceanogr., 27, 9 (1997), 1849--1867], which is used in large-scale numerical…
Regularity thresholds for anomalous dissipation and related phenomena in passive scalars
Marco Bagnara, Daniel W. Boutros, Camillo De Lellis +1
We prove the absence of anomalous dissipation for passive scalars driven by some random autonomous divergence-free vector fields in . In dimension we just need c…