Nonlinear elliptic and parabolic partial differential equations (PDEs) constitute a cornerstone of modern analysis, modelling a wide variety of steady-state and time-evolution phenomena in physics, ...

Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...

Nonlinear waves in physical systems are wave phenomena governed by equations in which the restoring forces or constitutive relations depend nonlinearly on the field amplitudes, leading to ...