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Keyword

large initial data

Description: Large initial data are initial conditions with comparatively high magnitude or amplitude in mathematical models, especially nonlinear partial differential equations and fluid dynamics.
OpenAlex ID: keywords/large-initial-data
Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms
1994 · V. Georgiev, G. Todorova · Journal of Differential Equations · 587
Stabilization of solutions of a degenerate nonlinear diffusion problem
1982 · Donald Aronson, Michael G. Crandall, et al. · Nonlinear Analysis · 381
Global weak solutions of Vlasov‐Maxwell systems
1989 · R. J. Diperna, P. L. Lions · Communications on Pure and Applied Mathematics · 372
Incompressible limit for a viscous compressible fluid
1998 · P.-L. Lions, N. Masmoudi · Journal de Mathématiques Pures et Appliquées · 359
Global Solutions of Nonlinear Magnetohydrodynamics with Large Initial Data
2002 · Gui-Qiang Chen, Dehua Wang · Journal of Differential Equations · 248
On the Cauchy Problem for Reaction-Diffusion Equations
1993 · Xuefeng Wang · Transactions of the American Mathematical Society · 235
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Global existence for 1D, compressible, isentropic Navier-Stokes equations with large initial data
1987 · David Hoff · Transactions of the American Mathematical Society · 230
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A New Bernstein’s Inequality and the 2D Dissipative Quasi-Geostrophic Equation
2007 · Qionglei Chen, Changxing Miao, et al. · Communications in Mathematical Physics · 209
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Global Existence Results for the Anisotropic Boussinesq System in Dimension Two
2010 · RAPHAËL DANCHIN, MARIUS PAICU · Mathematical Models and Methods in Applied Sciences · 194
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Existence of global weak solutions for 3D degenerate compressible Navier–Stokes equations
2016 · Alexis F. Vasseur, Cheng Yu · Inventiones mathematicae · 192
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Existence and continuous dependence of large solutions for the magnetohydrodynamic equations
2003 · Gui-Qiang Chen, Dehua Wang · Zeitschrift für angewandte Mathematik und Physik · 192
Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
2014 · Qian Zhang, Xiaoxin Zheng · SIAM Journal on Mathematical Analysis · 183
Existence of Global Strong Solutions in Critical Spaces for Barotropic Viscous Fluids
2011 · Boris Haspot · Archive for Rational Mechanics and Analysis · 155
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Global existence of generalized solutions of the spherically symmetric Einstein-scalar equations in the large
1986 · Demetrios Christodoulou · Communications in Mathematical Physics · 152
A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
2012 · Renjun Duan, Zhaoyin Xiang · International Mathematics Research Notices · 147
Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
2008 · Zhenhua Guo, Quansen Jiu, et al. · SIAM Journal on Mathematical Analysis · 142
Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain
1996 · Song Jiang · Communications in Mathematical Physics · 135
Wellposedness and stability results for the Navier–Stokes equations in \( R^{3} \)
2008 · Jean-Yves Chemin, Isabelle Gallagher · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 130
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Boundedness of the attraction–repulsion Keller–Segel system
2014 · Hai-Yang Jin · Journal of Mathematical Analysis and Applications · 126
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Interaction of Four Rarefaction Waves in the Bi-Symmetric Class of the Two-Dimensional Euler Equations
2010 · Jiequan Li, Yuxi Zheng · Communications in Mathematical Physics · 111
Global solutions of the compressible navier-stokes equations with larger discontinuous initial data
2000 · Gui-Qiang Chen, David Hoff, et al. · Communications in Partial Differential Equations · 111
Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
1988 · R. T. Glassey, J. W. Schaeffer · Communications in Mathematical Physics · 111
Compressible Euler-Maxwell equations
2000 · Gui-Qiang Chen, J. W. Jerome, et al. · Transport Theory and Statistical Physics · 110
Some Uniform Estimates and Large-Time Behavior of Solutions to One-Dimensional Compressible Navier–Stokes System in Unbounded Domains with Large Data
2015 · Jing Li, Zhilei Liang · Archive for Rational Mechanics and Analysis · 108
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Global stabilization of the full attraction-repulsion Keller-Segel system
2019 · Hai-Yang Jin, Zhi-An Wang · Discrete and Continuous Dynamical Systems · 104
Works count: 1,133
Citation count: 14,530
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