Equilibria in the Large-Scale Competition for Market Share in a Commodity with Resource-Buying.

David M. Ambrose https://orcid.org/0000-0003-4753-0319 https://www.wikidata.org/entity/Q79949283

Luke C. Brown David M. Ambrose Equilibria in the Large-Scale Competition for Market Share in a Commodity with Resource-Buying. 48-73 2025 March 15 Dyn. Games Appl. 1 https://doi.org/10.1007/s13235-024-00563-w db/journals/dga/dga15.html#BrownA25 streams/journals/dga

David M. Ambrose The Velocity Field and Birkhoff-Rott Integral for Nondecaying, Nonperiodic Vortex Sheets. 456-476 2025 85 SIAM J. Appl. Math. 2 https://doi.org/10.1137/24m164848x db/journals/siamam/siamam85.html#Ambrose25 streams/journals/siamam

David M. Ambrose Fazel Hadadifard James P. Kelliher Contour Dynamics and Global Regularity for Periodic Vortex Patches and Layers. 2286-2311 2024 56 SIAM J. Math. Anal. 2 https://doi.org/10.1137/22m1525818 db/journals/siamma/siamma56.html#AmbroseHK24

David M. Ambrose Roberto Camassa Jeremy Louis Marzuola Richard M. McLaughlin Quentin Robinson Jon Wilkening Numerical algorithms for water waves with background flow over obstacles and topography. 46 2022 48 Adv. Comput. Math. 4 https://doi.org/10.1007/s10444-022-09957-z db/journals/adcm/adcm48.html#AmbroseCMMRW22

David M. Ambrose Michael Siegel Keyang Zhang Convergence of the boundary integral method for interfacial Stokes flow. 695-748 2022 November 92 Math. Comput. 340 https://doi.org/10.1090/mcom/3787 db/journals/moc/moc92.html#AmbroseSZ22

David M. Ambrose Anna L. Mazzucato Global Solutions of the Two-Dimensional Kuramoto-Sivashinsky Equation with a Linearly Growing Mode in Each Direction. 96 2021 31 J. Nonlinear Sci. 6 https://doi.org/10.1007/s00332-021-09748-8 db/journals/jns/jns31.html#AmbroseM21

David M. Ambrose Fazel Hadadifard J. Douglas Wright Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts. 2261-2294 2021 20 SIAM J. Appl. Dyn. Syst. 4 https://doi.org/10.1137/20M1370793 db/journals/siamads/siamads20.html#AmbroseHW21

David M. Ambrose Michael Siegel Keyang Zhang Convergence of the boundary integral method for interfacial Stokes flow. 2021 abs/2105.07056 CoRR https://arxiv.org/abs/2105.07056 db/journals/corr/corr2105.html#abs-2105-07056

David M. Ambrose Roberto Camassa Jeremy Louis Marzuola Richard M. McLaughlin Quentin Robinson Jon Wilkening Numerical Algorithms for Water Waves with Background Flow over Obstacles and Topography. 2021 abs/2108.01786 CoRR https://arxiv.org/abs/2108.01786 db/journals/corr/corr2108.html#abs-2108-01786

David M. Ambrose Yang Liu Michael Siegel Convergence of a boundary integral method for 3D interfacial Darcy flow with surface tension. 2745-2775 2017 86 Math. Comput. 308 https://doi.org/10.1090/mcom/3196 db/journals/moc/moc86.html#AmbroseLS17

David M. Ambrose Gideon Simpson Local Existence Theory for Derivative Nonlinear Schrödinger Equations with Noninteger Power Nonlinearities. 2241-2264 2015 47 SIAM J. Math. Anal. 3 https://doi.org/10.1137/140955227 db/journals/siamma/siamma47.html#AmbroseS15

David M. Ambrose David P. Nicholls Fokas integral equations for three dimensional layered-media scattering. 1-25 2014 276 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2014.07.018 db/journals/jcphy/jcphy276.html#AmbroseN14

David M. Ambrose Michael Siegel Svetlana Tlupova A small-scale decomposition for 3D boundary integral computations with surface tension. 168-191 2013 247 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2013.03.045 db/journals/jcphy/jcphy247.html#AmbroseST13

David M. Ambrose Michael Siegel A non-stiff boundary integral method for 3D porous media flow with surface tension. 968-983 2012 82 Math. Comput. Simul. 6 https://doi.org/10.1016/j.matcom.2010.05.018 db/journals/mcs/mcs82.html#AmbroseS12

David M. Ambrose Jon Wilkening Computation of Time-Periodic Solutions of the Benjamin-Ono Equation. 277-308 2010 20 J. Nonlinear Sci. 3 https://doi.org/10.1007/s00332-009-9058-x db/journals/jns/jns20.html#AmbroseW10

David M. Ambrose Singularity formation in a model for the vortex sheet with surface tension. 102-111 2009 80 Math. Comput. Simul. 1 https://doi.org/10.1016/j.matcom.2009.06.014 db/journals/mcs/mcs80.html#Ambrose09

David M. Ambrose Well-Posedness of Vortex Sheets with Surface Tension. 211-244 2003 35 SIAM J. Math. Anal. 1 https://doi.org/10.1137/S0036141002403869 db/journals/siamma/siamma35.html#Ambrose03

Luke C. Brown Roberto Camassa Fazel Hadadifard James P. Kelliher Yang Liu Jeremy Louis Marzuola Anna L. Mazzucato Richard M. McLaughlin David P. Nicholls Quentin Robinson Michael Siegel Gideon Simpson Svetlana Tlupova Jon Wilkening J. Douglas Wright Keyang Zhang