Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2008

AUTHORS

Luigi Ambrosio , Gianluca Crippa , Camillo De Lellis , Felix Otto , Michael Westdickenberg

ABSTRACT

N/A

PAGES

3-57

References to SciGraph publications

  • 2000. Hyperbolic Conservation Laws in Continuum Physics in NONE
  • 1980-09. A system of non-strictly hyperbolic conservation laws arising in elasticity theory in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2004-03. Renormalized solutions of some transport equations with partially W1,1 velocities and applications in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2001-02. A Variational Approach for the 2-Dimensional Semi-Geostrophic Shallow Water Equations in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1987-03. Fine phase mixtures as minimizers of energy in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1993-12. The dual Least Action Problem for an ideal, incompressible fluid in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1988-09. Regularity of generalized solutions of Monge-Ampère equations in MATHEMATISCHE ZEITSCHRIFT
  • 1989-12. Minimal measures in COMMENTARII MATHEMATICI HELVETICI
  • 2005-06. Equivalence between some definitions for the optimal mass transport problem and for the transport density on manifolds in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2001-03. Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1997-08. A Homogenized Model for Vortex Sheets in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2006-09. Stability of flows associated to gradient vector fields and convergence of iterated transport maps in MANUSCRIPTA MATHEMATICA
  • 2001-11. Strong Traces for Solutions of Multidimensional Scalar Conservation Laws in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1989-10. Ordinary differential equations, transport theory and Sobolev spaces in INVENTIONES MATHEMATICAE
  • 1999-02. A geometrical approach to monotone functions in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\mathbb R^n$\end{document} in MATHEMATISCHE ZEITSCHRIFT
  • 1999-08. Minimal Measures and Minimizing Closed Normal One-currents in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • 1991-05. Action minimizing invariant measures for positive definite Lagrangian systems in MATHEMATISCHE ZEITSCHRIFT
  • 2004-11. Transport equation and Cauchy problem for BV vector fields in INVENTIONES MATHEMATICAE
  • 2006-09. Minimal measures, one-dimensional currents and the Monge–Kantorovich problem in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  • 1985-09. Measure-valued solutions to conservation laws in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1988-02. Global Hölder estimates for equations of Monge-Ampère type in INVENTIONES MATHEMATICAE
  • Book

    TITLE

    Transport Equations and Multi-D Hyperbolic Conservation Laws

    ISBN

    978-3-540-76780-0
    978-3-540-76781-7

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-540-76781-7_1

    DOI

    http://dx.doi.org/10.1007/978-3-540-76781-7_1

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1040506371


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