4 papers
Non-isothermal viscoelastic flows with conservation laws and relaxation
Sébastien Boyaval, Mark Dostalík
We propose a system of conservation laws with relaxation source terms (i.e. balance laws) for non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the…
Viscoelastic flows of Maxwell fluids with conservation laws
Sébastien Boyaval
We consider multi-dimensional extensions of Maxwell's seminal rheo-logical equation for 1D viscoelastic flows. We aim at a causal model for compressible flows, defined by semi-grou…
Viscoelastic flows with conservation laws
Sébastien Boyaval
We propose in this work the first symmetric hyperbolic system of conservation laws to describe viscoelastic flows of Maxwell fluids, i.e. fluidswith memory that are characterized b…
Reduced basis approximation and a~posteriori error bounds for 4D-Var data assimilation
Mark Kärcher, Sébastien Boyaval, Martin A. Grepl +1
We propose a certified reduced basis approach for the strong- and weak-constraint four-dimensional variational (4D-Var) data assimilation problem for a parametrized PDE model. Whil…