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Mária Lukáčová-Medvid'ová, Yuhuan Yuan, “Convergence of a Generalized Riemann Problem Scheme for the Burgers Equation”, Commun. Appl. Math. Comput., 2024
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Jan Friedrich, Simone Göttlich, Alexander Keimer, Lukas Pflug, “Conservation Laws with Nonlocal Velocity: The Singular Limit Problem”, SIAM J. Appl. Math., 84:2 (2024), 497
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Takanori Ebata, Hiroki Ohwa, “Continuous dependence on the initial and flux functions for solutions of balance laws”, Journal of Mathematical Analysis and Applications, 529:1 (2024), 127556
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Aekta Aggarwal, Helge Holden, Ganesh Vaidya, “On the accuracy of the finite volume approximations to nonlocal conservation laws”, Numer. Math., 156:1 (2024), 237
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P. Jameson Graber, Alpár R. Mészáros, “On some mean field games and master equations through the lens of conservation laws”, Math. Ann., 2024
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Nikolai V. Chemetov, Fernanda Cipriano, “Weak solution for stochastic Degasperis-Procesi equation”, Journal of Differential Equations, 382 (2024), 1
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Richard De la cruz, Yun-guang Lu, Xian-ting Wang, “Riemann problem for a general variable coefficient Burgers equation with time-dependent damping”, International Journal of Non-Linear Mechanics, 162 (2024), 104703
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Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya, “BV regularity of the adapted entropy solutions for conservation laws with infinitely many spatial discontinuities”, NHM, 19:1 (2024), 196
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Zhouping Xin, Liqun Zhang, Junning Zhao, “Global Well-Posedness and Regularity of Weak Solutions to the Prandtl's System”, SIAM J. Math. Anal., 56:3 (2024), 3042
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William Golding, “Nonlinear asymptotic stability in L ∞ for Lipschitz solutions to scalar conservation laws”, Comptes Rendus. Mathématique, 362:G6 (2024), 581
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Ulrik S. Fjordholm, Ola H. Mæhlen, Magnus C. Ørke, “The particle paths of hyperbolic conservation laws”, Math. Models Methods Appl. Sci., 34:07 (2024), 1205
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Clément Cardoen, Swann Marx, Anthony Nouy, Nicolas Seguin, “A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws”, Numer. Math., 156:4 (2024), 1289
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José A. Carrillo, David Gómez-Castro, “Interpreting systems of continuity equations in spaces of probability measures through PDE duality”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 118:3 (2024)
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Huashui Zhan, “Formation and local stability of a two-dimensional Prandtl boundary layer system in fluid dynamics”, Chaos, Solitons & Fractals, 185 (2024), 115167
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Eduardo Abreu, Vitor Matos, John Pérez, Panters Rodríguez-Bermúdez, “Riemann problem solutions for a balance law under Dirac-Delta source with a discontinuous flux”, J. Hyper. Differential Equations, 21:01 (2024), 1
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Sivaguru S. Sritharan, Saba Mudaliar, “Stochastic quantization of laser propagation models”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top., 27:02 (2024)
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Sai Swetha Venkata Kolluru, Nicolas Besse, Rahul Pandit, “Novel spectral methods for shock capturing and the removal of tygers in computational fluid dynamics”, Journal of Computational Physics, 519 (2024), 113446
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Matania Ben-Artzi, “GRP – A direct Godunov extension”, Journal of Computational Physics, 519 (2024), 113388
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Tristan Montoya, David W. Zingg, “Efficient entropy-stable discontinuous spectral-element methods using tensor-product summation-by-parts operators on triangles and tetrahedra”, Journal of Computational Physics, 516 (2024), 113360
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Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo, “Non-local traffic flow models with time delay: Well-posedness and numerical approximation”, DCDS-B, 2024