One-Dimensional Viscous Burgers Equation

Ask about this topic

Momentum

7 papers in the last four weeks, against 1 the four weeks before. 0.1% of all new papers.

Jul 13Week of Sep 28
View on map

Latest papers 32

All topics
CardsList

  1. Advectra: Asymmetric Latent Transport for Non-Stationary Physics

    Oct 4, 2026Nodens Koren, Thomas Hofmann, Georgios KissasOne-Dimensional Viscous Burgers EquationNeural Operators

    Department of Computer Science ETH Zürich Zürich, Switzerland · Swiss Data Science Center ETH Zürich Zürich, Switzerland

  2. Hybrid coupling with numerics-informed neural networks and the overlapping Schwarz alternating method

    Sep 15, 2026George Chumbipuma, Irina Tezaur, Alejandro Diaz +1One-Dimensional Viscous Burgers EquationNewton

    Rice University · Sandia National Laboratories

  3. Adaptive hybrid coupling with operator inference, the overlapping Schwarz alternating method and reinforcement learning

    Sep 15, 2026Trishit Mondal, Irina Tezaur, Anthony GruberOne-Dimensional Viscous Burgers EquationFidelity

    Worcester Polytechnic Institute

  4. Drift Field Net: Learning Ocean Lagrangian advection fields from in-situ and satellite observations

    Sep 14, 2026Théo Archambault, Pierre Garcia, Mattia Romero +2OceanOne-Dimensional Viscous Burgers Equation

    Amphitrite, Paris, France · Sorbonne Université, LIP6, Pequan, Paris, France · The Ocean Cleanup, Rotterdam, Netherlands +1

  5. Attention Is All You Need (to Avoid Spurious Oscillations)

    Sep 11, 2026Jinyoung Jeong, Joseph B. Choi, Xinlun Cheng +3One-Dimensional Viscous Burgers EquationOscillatory Dynamics

    School of Mechanical Engineering & IEDT, Kyungpook National University, Daegu, South Korea · School of Data Science, University of Virginia, Charlottesville, VA 22903, USA · Department of Mechanical Engineering, University of Iowa, Iowa City, Iowa 52242, USA +1

  6. Development and Validation of a Physics-Guided Machine Learning Extrapolation Framework Using a Classical Transient Diffusion Benchmark

    Sep 9, 2026Ashutosh Yadav, Alok Dubey, Prodyut Ranjan Chakraborty +1ExtrapolationPhysics-Guided Machine Learning

    Department of Mechanical Engineering, Indian Institute of Technology Jodhpur, Jodhpur 342030, India · Department of Aerospace Engineering, Indian Institute of Technology Jodhpur, Jodhpur 342030, India

  7. Structured Extrema Errors in Classical Surrogates for Viscous Burgers: A Physics-Consistent Interpretation

    Sep 7, 2026Youssef OubariSurrogate ModelsOne-Dimensional Viscous Burgers Equation

    IMT Atlantique, France

  8. Robust data-driven discovery of fractional differential equations via weak formulations and Pareto-based subset selection

    Aug 13, 2026Pongpisit Thanasutives, Yoshinobu KawaharaVariational FormulationOne-Dimensional Viscous Burgers Equation

    Center for Advanced Intelligence Project (AIP), RIKEN, Tokyo, Japan. · Graduate School of Information Science and Technology, The University of Osaka, Osaka, Japan.

  9. Eikonal Regularisation in Physics-Informed Neural Networks for Three-Dimensional Level-Set Advection: Transferability of Two-Dimensional Design Principles

    Aug 8, 2026Muhammad Akbar KhanParametric Physics-Informed Neural NetworkOne-Dimensional Viscous Burgers Equation

    Department of Mathematics, NED University of Engineering and Technology, Karachi 75270, Pakistan

  10. Localization in Spatiotemporal Fields via Environmental PDEs

    Jul 31, 2026Jose Fuentes, Abdullah Al Redwan Newaz, Ana Cavalcanti +1Particle FiltersSpatiotemporal Fields

    Faculty of Computer Engineering and Information Sciences, Florida International University, Miami, FL 33174, USA · University of New Orleans, New Orleans, LA 70148, USA

  11. A Physics-Chemistry-Informed Neural Network (PCINN) for Real-Time Spatial-ALD Coverage Prediction and Reliable Kinetics Inversion

    Jul 31, 2026Ning Hu, Chang Liu, Yunlei Jiang +1KineticsParametric Physics-Informed Neural Network

    School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, China · Information Engineering School, Hangzhou Dianzi University, Hangzhou, China

  12. Training-Free Entity-Level Few-Shot Segmentation of Remote Sensing Images with Advection Refinement

    Jul 31, 2026Xueting Bai, Huan NiFew-Shot SegmentationRemote Sensing

    School of Remote Sensing and Geomatics Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China.

  13. Dynamics-aware identification of governing equations from sparse and noisy data

    Jul 31, 2026Pongpisit Thanasutives, Yoshinobu KawaharaSystem IdentificationDynamic Mode Decomposition

    Center for Advanced Intelligence Project (AIP), RIKEN, Osaka, Japan · 2Graduate School of Information Science and Technology, The University of Osaka, Osaka, Japan

  14. Identifiability-Aware Source Apportionment in City-Scale Advection-Diffusion Systems

    Jul 25, 2026Ankit Bhardwaj, Lakshminarayanan SubramanianAir PollutionIdentifiability

    Department of Computer Science, New York University

  15. Physics-Informed Neural Embeddings of PDE Solution Families

    Jul 7, 2026Raul Jimenez, Svitlana Mayboroda, Pavlos Protopapas +3Partial Differential EquationsPhysics-Informed Learning

    Institute of Cosmos Sciences (ICC), University of Barcelona, Martí i Franquès 1, ES-08028, Barcelona, Spain. · Department of Mathematics, ETH Zurich, Rämistrasse 101, 8092, Zürich, Switzerland. · Institute for Applied Computational Science, Harvard University, Cambridge, MA, USA. +1

  16. Target-Guided Selective Reweighting for Physics-Informed Neural Network Inverse Problems: A Transfer Learning Approach

    Jul 6, 2026Qian Hu, Bin Fan, Yao Xiao +2Parametric Physics-Informed Neural NetworkInverse Problem

    School of Computing and Data Science, Fujian University of Technology, Fuzhou, 350118, Fujian, China

  17. MeGA-MP: Metric Graph Advection Message Passing -- A Physics-Informed Message Passing Operator for Advection-Dominated Metric Graphs

    Jul 6, 2026Janine Strotherm, Luca Hermes, André Artelt +1Message Passing Neural NetworksOne-Dimensional Viscous Burgers Equation

    Bielefeld University

  18. Physics-Grounded Disentangled Flow Modeling for Brain Disease Progression Trajectory

    Jun 26, 2026Jun Wang, Peirong LiuLongitudinal ImagingDisease

    Department of Electrical and Computer Engineering, Data Science and AI Institute, Johns Hopkins University

  19. fTNN: a tensor neural network for fractional PDEs

    Jun 25, 2026Qingkui Ma, Hehu Xie, Xiaobo YinFourier Neural OperatorsPartial Differential Equations

    School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China · SKLMS, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, No.55, Zhongguancun Donglu, Beijing 100190, China · School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China +1

  20. Following the Flow: Advection-Consistent Modeling for Event-based Small Object Detection

    Jun 21, 2026Wen Guo, Fulong Cai, Wuzhou QuanObject DetectionLatent Motion

    School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai 264005, China · Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

  21. INDEQS: Informed Neural controlled Differential EQuationS

    Jun 17, 2026Michael Detzel, Gabriel Nobis, Kristiyan Blagov +3Neural Ordinary Differential EquationsTemporal Graph Neural Networks

    Fraunhofer Heinrich Hertz Institute · Technische Universität Berlin

  22. Physics-Informed Neural Network Modeling of Biodegradable Contaminant Transport through GCL/SL Composite Liners

    Jun 3, 2026Dong Li, Yapeng Cao, Haiping Zhao +1Parametric Physics-Informed Neural NetworkOne-Dimensional Viscous Burgers Equation

    PhD, Department of Civil, Environmental, and Infrastructure Engineering, George Mason University, Fairfax, VA 22030, USA · 2* PhD, State Key Laboratory of Cryospheric Science and Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, China · Laboratoire Navier/CERMES, École Nationale des Ponts et Chaussées, Institut Polytechnique de Paris, 77455 Marne-la-Vallée cedex 2, France +1

  23. Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs

    May 20, 2026Chenyang An, Xiaoqian XuOne-Dimensional Viscous Burgers EquationLower Bounds

  24. SURGE: Approximation and Training Free Particle Filter for Diffusion Surrogate

    May 18, 2026Lifu Wei, Yinuo Ren, Naichen Shi +1Data AssimilationParticle Filters

    Department of Mechanical Engineering, Northwestern University, Evanston, IL, United States · Institute for Computational & Mathematical Engineering, Stanford University, Stanford, CA, United States · Department of Industrial Engineering & Management Sciences, Northwestern University, Evanston, IL, United States

  25. Observation-Aligned Two-Stage Domain Decomposition for Physics-Informed Traffic State Estimation with Sparse Fixed Sensors

    May 8, 2026Eunhan Ka, Ludovic Leclercq, Satish V. UkkusuriParametric Physics-Informed Neural NetworkOne-Dimensional Viscous Burgers Equation

    Lyles School of Civil and Construction Engineering, Purdue University, 610 Purdue Mall, West Lafayette, 47907, IN, United States · Univ Gustave Eiffel, ENTPE, LICIT-ECO7, Lyon, F-69675, France

  26. Sparse Random-Feature Neural Networks with Krylov-Based SVD for Singularly Perturbed ODE

    May 8, 2026Kevin Kurian Thomas Vaidyan, Siddharth RoutSingular Value DecompositionNeural Ordinary Differential Equations

    Institute of Applied Mathematics University of British Columbia Vancouver, BC V6T 1Z4

  27. Acceleration of horizontal numerical advection for atmospheric modeling through surrogate modeling with temporal coarse-graining

    Apr 30, 2026Manho Park, Christopher V. Rackauckas, Christopher W. TessumOne-Dimensional Viscous Burgers EquationSurrogate Models

    The Grainger College of Engineering, Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign · Computer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA

  28. Shearlet Neural Operators for Anisotropic-Shock-Dominated and Multi-scale parametric partial differential equations

    Apr 28, 2026Fabio Pereira dos Santos, Julio de Castro Vargas Fernandes, Adriano Mauricio de Almeida CortesFourier Neural OperatorsNeural Operators

    Coordination of Mathematical and Computational Methods National Laboratory of Scientific Computing Av. Getúlio Vargas, 333 - Quitandinha, Petrópolis - RJ, 25651-075 · Systems and Computational Engineering Program, COPPE/UFRJ, Federal University of Rio de Janeiro, P.O. Box 68542, Rio de Janeiro, RJ, 21941-909, Brasil

  29. Collocation-based Robust Physics Informed Neural Networks for time-dependent simulations of pollution propagation under thermal inversion conditions on Spitsbergen

    Apr 24, 2026Leszek Siwik, Maciej Sikora, Natalia Leszczyńska +7One-Dimensional Viscous Burgers EquationAir Pollution

    AGH University of Krakow, Faculty of Computer Science, Al. Mickiewicza 30, Kraków, 30-059, Poland · Medical University of Silesia-Katowice, Faculty of Medical Sciences, ul. Poniatowskiego 15, Katowice, 40-055, Poland · The University Centre in Svalbard, Longyearbyen, Box 156 N-9171, Longyearbyen, Norway +4

  30. Modelling Gas-Phase Reaction Kinetics with Guided Particle Diffusion Sampling

    Apr 8, 2026Andrew Millard, Zheng Zhao, Henrik PedersenKineticsDiffusion Sampling

    Division of Statistics and Machine Learning (STIMA), Linköping University, Sweden · STIMA, Linköping University, Sweden · Division of Chemistry, Linköping University, Sweden

  31. A Probabilistic Approach to Trajectory-Based Optimal Experimental Design

    Jan 16, 2026Ahmed AttiaBayesian Experimental DesignMarkov Decision Processes

    Mathematics and Computer Science Division, Argonne National Lab, USA

  32. Probabilistic Approach to Black-Box Binary Optimization with Budget Constraints: Application to Sensor Placement

    Jun 9, 2024Ahmed AttiaBayesian Experimental DesignBlack-Box Optimization

    Mathematics and Computer Science Division, Argonne National Laboratory, Lemont, IL, USA