Nonuniform dependence on initial data for the 2D viscous shallow water equations (Q6192671)

scientific article; zbMATH DE number 7815575

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English	Nonuniform dependence on initial data for the 2D viscous shallow water equations	scientific article; zbMATH DE number 7815575

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instance of

scholarly article

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title

Nonuniform dependence on initial data for the 2D viscous shallow water equations (English)

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arXiv ID

2011.14125

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DOI

10.1002/zamm.202100439

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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

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publication date

11 March 2024

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full work available at URL

https://arxiv.org/abs/2011.14125

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Mathematics Subject Classification ID

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viscous shallow water equations

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compressible Navier-Stokes equations

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MaRDI profile type

MaRDI publication profile

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OpenAlex ID

W3109611456

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cites work

Existence and Uniqueness of a Classical Solution of an Initial-Boundary Value Problem of the Theory of Shallow Waters

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Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model

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Fourier Analysis and Nonlinear Partial Differential Equations

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A global existence result for the compressible Navier--Stokes equations in the critical $L ^{p }$ framework

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On the Well-Posedness for the Viscous Shallow Water Equations

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Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity

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Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities

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On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces

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Global existence in critical spaces for compressible Navier-Stokes equations

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LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES

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Compressible Navier-Stokes system: large solutions and incompressible limit

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Higher order commutator estimates and local existence for the non-resistive MHD equations and related models

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Global Solutions to the Isentropic Compressible Navier--Stokes Equations with a Class of Large Initial Data

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Existence of global strong solutions in critical spaces for barotropic viscous fluids

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Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces

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Global existence of strong solution for viscous shallow water system with large initial data on the irrotational part

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Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics

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Non-uniform dependence on initial data for the CH equation on the line.

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Non-Uniform Dependence for the Periodic CH Equation

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Nonuniform Dependence on Initial Data for Compressible Gas Dynamics: The Cauchy Problem on $\mathbb{R}^2$

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Non-uniform dependence of the data-to-solution map for the Hunter-Saxton equation in Besov spaces

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The Cauchy problem for quasi-linear symmetric hyperbolic systems

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Commutator estimates and the euler and navier-stokes equations

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Nonuniform dependence on initial data for compressible gas dynamics: the periodic Cauchy problem

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On the ill-posedness of some canonical dispersive equations.

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Q5714604

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Global Existence of Classical Solutions in the Dissipative Shallow Water Equations

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Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces

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Non-uniform dependence on initial data for the Camassa-Holm equation in the critical Besov space

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Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces

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Global existence and well-posedness of the 2D viscous shallow water system in Sobolev spaces with low regularity

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Global existence and local well-posedness of the 2D viscous shallow water system in Sobolev spaces

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Global existence and well-posedness of the 2D viscous shallow water system in Besov spaces

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The initial value problem for the equations of motion of viscous and heat-conductive gases

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Non-uniform dependence for Euler equations in Besov spaces

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Global existence for the Dirichlet problem for the viscous shallow water equations

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Global existence for the Cauchy problem for the viscous shallow water equations

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The Cauchy problem for viscous shallow water equations

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Sitelinks

Mathematics(1 entry)

mardi Publication:6192671