skip to content

Posters (MIMW01)

 Dynamical regimes in a convection problem with temperature dependent viscosity

We explore the instabilities developed in a fluid in which viscosity depends on

temperature. In particular, we consider a dependency  which is suitable for representing a lithosphere over a convecting mantle. To this end, we study a 2D convection problem in the presence of O(2) symmetry in which viscosity depends on temperature by abruptly changing its value up to a factor of 400 within a narrow temperature gap at which magma melts. We conduct a study which combines bifurcation analysis and time-dependent simulations. Solutions are found that are fundamentally related to the presence of symmetry. Among these we find spontaneous plate-like behaviors. The plate-like evolution alternates motions towards either the right or the left, thereby introducing temporary asymmetries on the convecting styles. Further time-dependent regimes are found and described.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons