5 papers
Beyond Linear Decomposition: a Nonlinear Eigenspace Decomposition for a Moist Atmosphere with Clouds
Antoine Remond-Tiedrez, Leslie M. Smith, Samuel N. Stechmann
A linear decomposition of states underpins many classical systems. This is the case of the Helmholtz decomposition, used to split vector fields into divergence-free and potential c…
A nonlinear elliptic PDE from atmospheric science: well-posedness and regularity at cloud edge
Antoine Remond-Tiedrez, Leslie M. Smith, Samuel N. Stechmann
The precipitating quasi-geostrophic equations go beyond the (dry) quasi-geostrophic equations by incorporating the effects of moisture. This means that both precipitation and phase…
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case
Antoine Remond-Tiedrez, Ian Tice
We study a three-dimensional, incompressible, viscous, micropolar fluid with anisotropic microstructure on a periodic domain. Subject to a uniform microtorque, this system admits a…
Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case
Antoine Remond-Tiedrez, Ian Tice
We study a three-dimensional, incompressible, viscous, micropolar fluid with anisotropic microstructure on a periodic domain. Subject to a uniform microtorque, this system admits a…
The viscous surface wave problem with generalized surface energies
Antoine Remond-Tiedrez, Ian Tice
We study a three-dimensional incompressible viscous fluid in a horizontally periodic domain with finite depth whose free boundary is the graph of a function. The fluid is subject t…