3 papers
math-ph2025
Toward a Physical Interpretation of Phase Field Models with Dynamic Boundary Conditions
Xiaobo Jing, Qi Wang
In recent decades, considerable research has been devoted to partial differential equations (PDEs) with dynamic boundary conditions. However, the physical interpretation of the par…
math.NA2025
Skew Gradient Embedding for Thermodynamically Consistent Systems
Xuelong Gu, Qi Wang
We propose a novel Skew Gradient Embedding (SGE) framework for systematically reformulating thermodynamically consistent partial differential equation (PDE) models-capturing both r…
math.NA2025
Energy-Stable Swarm-Based Inertial Algorithms for Optimization
Xuelong Gu, Qi Wang
We formulate the swarming optimization problem as a weakly coupled, dissipative dynamical system governed by a controlled energy dissipation rate and initial velocities that adhere…