From the 1 of 5 linked papers with an AI index.
5 papers
Generalized skew-gradient embedding for thermodynamically consistent systems
Xuelong Gu, Qi Wang
The paper extends the skew‑gradient embedding framework to a family of generalized embeddings, showing how to choose gauges that preserve thermodynamic consistency and invariants,…
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…
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…
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…
Gardner transition coincides with the emergence of jamming scalings in hard spheres and disks
Qi Wang, Deng Pan, Yuliang Jin
The Gardner transition in structural glasses is characterized by full-replica symmetry breaking of the free-energy landscape and the onset of anomalous aging dynamics due to margin…