SU\G(𝔸)/K·U
Mathematics › Applied Mathematics

Mathematical Modeling of Fluid Dynamics

Works Count: 26270

Description

This cluster of papers focuses on the mathematical modeling and analysis of fluid dynamics, including topics such as Navier-Stokes equations, compressible flows, magnetohydrodynamics, global existence of solutions, weak solutions, boundary value problems, incompressible flow, regularity criteria, and free surface boundary behavior.

Keywords

Navier-Stokes Equations; Compressible Flows; Magnetohydrodynamics; Viscous Fluids; Global Existence; Weak Solutions; Boundary Value Problems; Incompressible Flow; Regularity Criteria; Free Surface Boundary

Most Cited Works

Action Title Date Authors
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Numerical Approximation of Hyperbolic Systems of Conservation Laws 1996-01-01 Edwige Godlewski Pierre-Arnaud Raviart
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The initial value problem for the equations of motion of viscous and heat-conductive gases 1980-01-01 Akitaka Matsumura Takaaki Nishida
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On Some Questions in Boundary Value Problems of Mathematical Physics 1978-01-01 J. L. Lions
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Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation 1977-10-01 Élliott H. Lieb
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On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations 2001-11-01 Eduard Feireisl Antonín Novotný Hana Petzeltová
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StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions 1984-12-01 Tosio Kato
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Groups of Diffeomorphisms and the Motion of an Incompressible Fluid 1970-07-01 David G. Ebin Jerrold E. Marsden
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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem 2000-01-01 Jean‐David Benamou Yann Brenier
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Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (II) 1969-01-01 Roger Témam
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Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system 1986-04-01 Yoshikazu Giga
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Numerical study of slightly viscous flow 1973-03-06 Alexandre J. Chorin
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Remarks on the breakdown of smooth solutions for the 3-D Euler equations 1984-03-01 J. Thomas Beale T. Kato Andrew J. Majda
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Computational Methods for Fluid Flow 1983-01-01 R. Peyret Thomas D. Taylor
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The numerical simulation of two-dimensional fluid flow with strong shocks 1984-04-01 Paul R. Woodward Phillip Colella
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Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation 2010-04-25 Luis Caffarelli Alexis Vasseur
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Hyperbolic systems of conservation laws II 1957-01-01 Peter D. Lax
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On the stability of heterogeneous shear flows 1961-06-01 John W. Miles
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Saddle points and instability of nonlinear hyperbolic equations 1975-12-01 L. E. Payne D. H. Sattinger
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Systems of conservation laws 1960-05-01 Peter D. Lax Burton Wendroff
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Partial regularity of suitable weak solutions of the navier‐stokes equations 1982-11-01 Luis Caffarelli Robert V. Kohn Louis Nirenberg
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Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters 1995-04-01 V. N. Venkatakrishnan
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Uniformly High-Order Accurate Nonoscillatory Schemes. I 1987-04-01 Ami Harten Stanley Osher
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Solutions in the large for nonlinear hyperbolic systems of equations 1965-11-01 James Glimm
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Upwind methods for hyperbolic conservation laws with source terms 1994-11-01 Alfredo Bermúdez Ma Elena Vazquez
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Well-posedness for the Navier–Stokes Equations 2001-01-01 Herbert Koch Daniel Tataru
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Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids 1983-12-01 Akitaka Matsumura Takaaki Nishida
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Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations 2001-01-01 Alexander Kurganov Sebastian Noelle Guergana Petrova
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On the Navier-Stokes initial value problem. I 1964-01-01 Hiroshi Fujita Tosio Kato
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Upwind difference schemes for hyperbolic systems of conservation laws 1982-01-01 Stanley Osher Fred Solomon
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Universality and scaling in gravitational collapse of a massless scalar field 1993-01-04 Matthew W. Choptuik
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On the nature of turbulence 1971-12-01 David Ruelle Floris Takens
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The relaxation schemes for systems of conservation laws in arbitrary space dimensions 1995-01-01 Shi Jin Zhouping Xin
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Numerical solution of the Navier-Stokes equations 1968-01-01 Alexandre J. Chorin
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Commutator estimates and the euler and navier‐stokes equations 1988-10-01 Tosio Kato Gustavo Ponce
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Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids 1981-07-01 Sergiù Klainerman Andrew J. Majda
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Existence of permanent and breaking waves for a shallow water equation: a geometric approach 2000-01-01 Adrian Constantin
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A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws 1978-04-01 Gary A. Sod
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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle 1993-04-01 Carlos E. Kenig Gustavo Ponce Luis Vega
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Asymptotic evaluation of certain markov process expectations for large time, II 1975-03-01 M. D. Donsker S. R. S. Varadhan
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On the interior regularity of weak solutions of the Navier-Stokes equations 1962-01-01 James Serrin
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A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows 2004-01-01 Emmanuel Audusse François Bouchut Marie-Odile Bristeau Rupert Klein Benoı̂t Perthame
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Flux-vector splitting for the Euler equations 1982-01-01 Bram van Leer
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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations 1993-05-01 Jean Bourgain
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The Porous Medium Equation 2006-10-26 Juan Luís Vázquez
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Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works 1973-01-01 Jay P. Boris David Book
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On the nature of turbulence 1971-09-01 David Ruelle Floris Takens
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Approximate Riemann solvers, parameter vectors, and difference schemes 1981-10-01 Philip L. Roe
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Recent developments in the Navier-Stokes problem 2002-04-26 Pierre Gilles Lemarié–Rieusset
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Tables of integral transforms 1954-06-01
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Dynamics of Viscous Compressible Fluids 2003-12-04 Eduard Feireisl

Most Recent Works

Action Title Date Authors
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On local strong solutions to the Cauchy problem of 3D isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum 2025-04-22 Jiaxu Li Lixin Li
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On the analyticity of the flow map for the AHT equations 2025-04-23 Amina Mecherbet Franck Sueur
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Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations 2025-04-23 Guilong Gui Yancan Li
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Navier–Stokes Flow in the Exterior of a Moving Obstacle with a Lipschitz Boundary 2025-04-23 Tomoki Takahashi Keiichi Watanabe
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Nonlinear Rayleigh–Taylor instability of inhomogeneous incompressible geophysical fluids with partial dissipation 2025-04-24 Yanlong Fan Daozhi Han Quan Wang Chao Xing
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A hyperbolic relaxation approximation of the incompressible Navier-Stokes equations with artificial compressibility 2025-04-24 Qian Huang Christian Rohde Wen‐An Yong Ruixi Zhang
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Stability Analysis of a Third Diffusing Component of Rayleigh–Bénard Problem With an Entropy Generation 2025-04-23 Y. M. Gifteena Hingis M. Muthtamilselvan Kyubok Ahn
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Formation and construction of shock for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e48"><mml:mi>p</mml:mi></mml:math>-system under degenerate conditions of finite or infinite orders 2025-04-24 Jintao Li Lu Zhu
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On the decay and Gevrey regularity of the solutions to the Navier–Stokes equations in general two-dimensional domains 2025-04-24 Raphaël Danchin
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Asymptotic behavior of solutions to the Cauchy problem for 1D p-system with spatiotemporal damping: Case 1. v+ = v− 2025-04-24 Yang Cai Changchun Liu Ming Mei Zejia Wang
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The initial value problem of the fractional compressible Navier-Stokes-Poisson system 2025-04-25 Shu Wang Shuzhen Zhang
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Stochastic porous media equation with Robin boundary conditions, gravity-driven infiltration and multiplicative noise 2025-04-25 Ioana Ciotir Dan Goreac Juan Li Antoine Tonnoir
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On the borderline regularity criterion in anisotropic Lebesgue spaces of the Navier-Stokes equations 2025-04-25 Yanqing Wang Wei Wei Gang Wu Daoguo Zhou
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A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case 2025-04-27 X Zhang Xun Wang Zhijun Shen null Chao Yang
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Well-Posedness of Infinite Horizon FBSDEs with Non-zero Terminals and LQ Problems with Random Coefficients 2025-04-27 Jinghua Li Zhiyong Yu
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Global well-posedness and large time behaviors for the generalized MHD equations 2025-04-28 Huan Yu Haifeng Shang
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Well-posedness of fully coupled McKean-Vlasov FBSDE and application to Stackelberg games 2025-04-28 Yanbo Chen Tianyang Nie
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Global Existence of a Weak Martingale Solution to a Stochastic Nonlocal Cahn–Hilliard–Navier–Stokes Model 2025-04-27 Gabriel Deugoué A. Ndongmo Ngana T. Tachim Medjo
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The energy equality of the Navier–Stokes equations in the framework of Besov-Lorentz type spaces, and its application to the MHD system 2025-04-29 T. Eguchi
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Об одной краевой задаче с граничными условиями третьего рода для уравнения смешанного типа третьего порядка с эллиптико-гиперболическим оператором в главной части 2025-04-29 Б.И. Исломов G. K. Kylyshbaeva
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Finite time blow-up in a 1D model of the incompressible porous media equation 2025-04-29 Alexander Kiselev Naji A. Sarsam
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Energy Equality of Weak Solutions to the Navier–Stokes System in Lorentz Spaces 2025-04-30 Wei Wei Yulin Ye
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Uniformly rotating vortices for the lake equation 2025-04-30 Taoufik Hmidi Haroune Houamed Emeric Roulley Mohamed Zerguine
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Well-posedness of stochastic mSQG equations with Kraichnan noise and L data 2025-04-30 Shuaijie Jiao Dejun Luo
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Global unique solutions to the three dimensional incompressible inhomogeneous asymmetric fluids 2025-05-01 Dongxiang Chen Fangfang Jian
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The $$\alpha $$-Dependence of the Invariant Measure for the Stochastic Navier–Stokes Equation Driven by $$\alpha $$-Stable Lévy Processes 2025-04-30 Ting Li
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Evaluation of solutions of one class of finite-dimensional nonlinear equations 2025-05-02 B. D. Koshanov М. Отелбаев Abduhali Shynybekov
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On the Chemin–Lerner–Lorentz Space: Completeness, Real Interpolation, and Estimates of the Heat Semigroup 2025-04-30 Taiki Takeuchi
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Local boundedness and higher integrability for the sub-critical singular porous medium system 2025-05-02 Verena Bögelein Frank Duzaar Ugo Gianazza Naian Liao
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Global well-posedness for 2D generalized parabolic Anderson model via paracontrolled calculus 2025-05-03 Hao Shen Rongchan Zhu Xiangchan Zhu
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Euler equations in Sobolev conormal spaces 2025-05-03 Mustafa Sencer Aydın Igor Kukavica
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Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness 2025-05-04 Helmut Abels Harald Garcke Andrea Poiatti
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Traversable wormhole solutions with bulk viscosity in general relativity 2025-05-01 Ramandeep Jaiswal Mrinnoy M. Gohain Kalyan Bhuyan
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A Simple Proof of Linear Instability of Shear Flows with Application to Vortex Sheets 2025-05-05 Anuj Kumar Wojciech S. Ożański
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Curve shortening flow with an ambient force field 2025-05-05 Samuel Cuthbertson Glen Wheeler Valentina‐Mira Wheeler
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ONCE AGAIN ABOUT WEAK UNIQUENESS FOR SDE WITH SINGULAR COEFFICIENTS 2025-05-05 Н. В. Крылов
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Dynamics for 2D Navier-Stokes equations with delay on time-varying domains 2025-05-06 Xiaoya Song
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Self-Similar Algebraic Spiral Solution of 2-D Incompressible Euler Equations 2025-05-06 Feng Shao Dongyi Wei Zhifei Zhang
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Global Well-posedness for the 3D Incompressible MHD System with a Class of Large Initial Data 2025-05-01 Zhibin Wang
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On the regularity of axially-symmetric solutions to the incompressible Navier-Stokes equations in a cylinder 2025-05-06 Wojciech S. Ożański Wojciech M. Zajączkowski
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Global Smoothness and Existence for the Navier-Stokes Equations in Clay-ξ ↔ Format 2025-05-07 Faruk Alpay
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Quantitative Hydrodynamic Stability for Couette Flow on Unbounded Domains with Navier Boundary Conditions 2025-05-07 Ryan Arbon Jacob Bedrossian
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Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density 2025-05-07 Hammadi Abidi Guilong Gui Ping Zhang
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Global Classical Solutions to the Two-phase Flow Model with Slip Boundary Condition in 3D Bounded Domains 2025-05-05 Zilai Li Linlin Zhao
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Saint-Venant Estimates and Liouville-Type Theorems for the Stationary Navier–Stokes Equation in $$\mathbb {R}^3$$ 2025-05-08 Jeaheang Bang Zhuolun Yang
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Asymptotic stability of the rarefaction wave for the inflow problem of the bipolar compressible Navier–Stokes–Poisson system with large initial perturbation 2025-05-01 Qiwei Wu Jingjun Zhang
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Critical thresholds in pressureless Euler–Poisson equations with background states 2025-05-09 Young-Pil Choi Dong-ha Kim Dowan Koo Eitan Tadmor
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On the Optimal Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl 2025-05-09 Deokwoo Lim In‐Jee Jeong
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Asymptotical behavior of the 2D stochastic partial dissipative Boussinesq system with memory 2025-05-01 Haoran Dai Bo You Tomás Caraballo
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Global well-posedness for two-dimensional inhomogeneous viscous flows with rough data via dynamic interpolation 2025-05-10 Raphaël Danchin