Part 1: Fracture Mechanics -- Strong but slippery adhesion of mushroom-shaped polysaccharide gels -- Bridging the scales between discrete and continuum dislocation models -- Phase field crack growth model with Hydrogen embrittlement -- On singularities in 2D linearized elasticity -- Part 2: Shape Optimization -- Two-Parameter Topological Expansion of Helmholtz Problems with Inhomogeneity -- Solution of shape optimization problem and its application to product design -- Shape optimization by GJ-integral: Localization method for composite material -- Shape optimization approach by traction method to inverse free boundary problems -- Part 3: Earthquakes and Inverse Problems -- Synthesis of seismic wave envelopes based on the Markov approximation -- Propagation velocity of pulse-like rupture along earthquake faults -- Inverse Source Problem for a Wave Equation with Final Observation Data -- Part 4: Fluid Mechanics and Interface Dynamics -- The contribution of Kawada to the analytical solution for the velocity induced by a helical vortex filament and modern applications of helical vortices -- A new model for fungal hyphae growth using the thin viscous sheet equations -- On Boundary Conditions for Hele-Shaw Problem -- Part 5: Industrial Applications -- Computer Simulation of the Phase Separation of Polymeric Materials for Industrial Applications -- Highly parallel computation of generalized eigenvalue problem in vibration for automatic transmission of vehicles using Sakurai-Sugiura method and supercomputers -- Mathematical analysis of synchronization from the perspective of network science -- Index.