Institute of Applied Physics and Computational Mathematics

The Stability of Current Vortex Sheets with Transverse Magnetic Field

We study a symmetric class of three-dimensional compressible current-vortex sheets for which the basic velocity is tangential to the interface and the basic magnetic field is tangential to the interface but transverse to the velocity. Restricting to perturbations that are indepen...

Electronic stopping power of protons in transition metals: Bragg peak

For the electronic stopping power of protons in period-6 transition metals, the Bragg peak positions measured in experiments are nearly independent of the element for lanthanides and suddenly show a linear growth for non-lanthanides, while the Bragg peak magnitudes monotonically...

Multiscale Methods for Wave Propagation in Materials with Sign-Changing Coefficients

Abstract. From a mathematical perspective, the extraordinary properties of metamaterials are often reflected in the coefficients of the governing partial differential equations. These coefficients may fall outside the assumptions of classical theory, particularly when the effecti...

Resonance density range governs two-plasmon decay saturation and enables hot-electron prediction in inertial confinement fusion

The saturation level of parametric instabilities is critical in determining their impact on fusion plasmas. We identify the resonance density range of two-plasmon decay as the critical parameter governing nonlinear saturation of ion density fluctuations and Langmuir waves, which...

RT-APNN for Solving Gray Radiative Transfer Equations

The Gray Radiative Transfer Equations (GRTEs) are high-dimensional, multi-scale problems that pose significant computational challenges for traditional numerical methods. Current deep learning approaches, including Physics-Informed Neural Networks (PINNs) and Asymptotically Prese...

A DeepMD-GNN Potential Reveals the Initiation Mechanism of a Trinitromethyl-Based Green Primary Explosive

Trinitromethyl-based green explosives have garnered extensive research interest by virtue of their high mass density, superior energy density, favorable oxygen balance, and eco-friendly properties. However, the development of new energetic materials remains challenging because ex...

Uniform measure attractors for nonautonomous stochastic lattice wave equations with delay driven by nonlinear noise

In this paper, we investigate the existence and structure of uniform measure attractors for nonautonomous stochastic lattice wave equations with delay, driven by nonlinear noise and subject to almost periodic external forces. Since the presence of nonlinear noise and almost perio...