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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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0111 · Jun 202319922001200920172026
4 results for “Hugoniot”
Physics-constrained Gaussian Processes for Predicting Shockwave Hugoniot Curvescs.CE

Physics-constrained GP predicts material states under shockwave conditions.

problem Predicting material states under extreme shockwave conditions.
method Physics-constrained Gaussian Process regression with Rankine-Hugoniot constraints.
result Reproduces Hugoniot curves with satisfactory accuracy and uncertainty quantification.
Gaussian ProcessesShockwaveMaterial ScienceHugoniotEquation of State
2026-01-10abs ↗pdf ↗
Learning thermodynamically constrained equations of state with uncertaintyphysics.data-an

This work develops a machine learning approach to EOS models that accounts for thermodynamic constraints and model uncertainty.

problem Developing accurate equation of state models for high energy-density experiments with inherent uncertainties.
method Physics-informed Gaussian process regression (GPR) framework to capture model uncertainty and thermodynamic constraints.
result The proposed framework reduces prediction uncertainty by incorporating thermodynamic constraints, as demonstrated for diamond carbon EOS.
equation of statemachine learningthermodynamicsuncertainty quantificationGaussian process regression
2023-06-29abs ↗pdf ↗
A universal phase-field mixture representation of thermodynamics and shock wave mechanics in porous soft biologic continuacond-mat.soft

Universal model for soft tissue mechanics under shock waves.

problem Modeling shock wave mechanics in soft biological tissues.
method Continuum mixture theory with phase-field mechanics.
result Universal thermodynamically consistent formulation for soft porous tissues.
soft tissuesphase-field mechanicsshock wavesthermodynamicscontinuum mechanics
2024-03-08abs ↗pdf ↗
Generic Structural Stability for 2×22 \times 2 Systems of Hyperbolic Conservation Lawsmath.AP

Paper proves stability of solutions for specific hyperbolic systems.

problem Stability of solutions to 2imes22 imes 2 hyperbolic conservation laws.
method Proof of generic structural stability using differential topology.
result Riemann solutions are preserved under perturbations of flux, left, and right states.
hyperbolic conservation lawsstructural stabilityRiemann solutionsdifferential topologyp-system
2025-02-13abs ↗pdf ↗