TMNT-Lab

Research

Active Projects

Soft hydraulics: Towards a predictive theory of the static and dynamic response of compliant flow conduits.
Fluid–structure interactions in intracranial aneurysms: Coupled flow and biomechanics.
Continuum models and numerical methods for particle-laden multiphase flows in complex and 3D geometries (see twoFluidsNBSuspensionFoam project).
Interfacial fluid mechanics and (in)stability of fluid–fluid interfaces in the presence of multiphysics interactions.
Non-Newtonian fluid flows, including viscous gravity currents, start-up problems, microflows & slip.
Nonlinear waves; PDEs with Hamiltonian structure; stochastics (see e.g., langevinkinks project).
Hyperbolic conservation laws in fluid mechanics.

Other Projects

Anomalous scalings in the diffusion of granular materials; long-time asymptotics of diffusion equations.
Chaotic mixing of granular materials; 3D nonlinear dynamical systems and chaos.
Nonlinear Fourier analysis and transforms for ocean acoustics modeling (NONFATFOAM).
Nonlinear acoustics (inviscid and thermoviscous) and shock formation.
Hyperbolic heat conduction and wave propagation.
Wavelets and wavelet methods for signal processing and solution of PDEs.

Some material presented on this web site is based upon work supported by the National Science Foundation under Grant No. CMMI-2029540, CBET-1705637, DMS-1104047, by the Los Alamos National Laboratory's Laboratory Directed Research & Development program under Grant No. 20130792PRD2, by the American Chemical Society Petroleum Research Fund under Grant No. 57371-DNI9, and by the Scheme for Promotion of Academic and Research Collaboration (SPARC) from the Governement of India under proposal ID 947.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation, the American Chemical Society, the benefactors of the Petroleum Research Fund, the Cooling Technologies Research Center or its partners, the Department of Energy, the National Nuclear Security Administration, Los Alamos National Laboratory or any other entities named or implied.

You can watch Prof. Christov's 7 minute faculty research presentation (July 2020) above or view the slides directly.

Funding Sources