Spinal deformities are one of the most mechanically disabling pathology for the human body. Resolving spinal deformities using surgery is difficult, sensitive and frequently leads to the necessity to perform corrective surgeries.

There are many examples in fluid dynamics in which we wish to use a limited amount of information about a flow (e.g., from sensors) to infer its larger behavior. Rather than treat this inverse problem deterministically, it is valuable to embrace its uncertainty, e.g., due to noisy sensor measurements, and work in a probabilistic setting.

The search for sustainable solutions for the production and transport of energy is essential to ensure Europe's leadership in these sectors. Micrometric metal particles offer a promising source of sustainable energy. Upon ignition, they generate a significant amount of energy without emitting carbon dioxide.

The study of conservation laws leads us to work with hyperbolic PDE's. Such systems can generate discontinuous solutions in finite time from continuous data. Bernhard Riemann was one of the first to investigate these discontinuous solutions in a paper published in 1860.

Cardiovascular diseases are the leading cause of death and disability worldwide. Atherosclerosis is a chronic inflammatory disease, characterized by the buildup of plaque within the arterial walls causing blood vessel narrowing, and is the primary cause of many cardiovascular diseases.

Gas-particle flows are commonly simulated through two-fluid model at industrial-scale. However, these simulations need very fine grid to have accurate flow predictions, which is prohibitively demanding in terms of computational resources.

In biomechanics, spine modelling allows the calculation of intervertebral efforts. The latter reflect the combined effect of spine geometry, spine kinematics and muscle forces. Although the geometry and kinematics of the spine are well known, the estimation of muscle forces is still one of the major challenges in spine modelling.

  Global warming leads to an alteration of hydrological cycle, determining more frequent high intensity rainfall events. Alteration of hydrological conditions inevitably leads to river's hydromorphological dynamism, with changes in flow discharge, water level, sediment transport and dispersion processes, affecting the aquatic habitats and biotic communities.

In this talk, I will present numerical results for turbulent convection in a pool that contains liquid water in the lower part and air in the upper one. The bottom wall is uniformly heated and natural convection is established in both phases, accompanied by water evaporation across the free surface of the water.

The primary goal of this PhD thesis has been to identify countries where land and water constraints could prompt the import of hydrogen or its derived carriers instead of relying on domestic production based on inland renewable resources.