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  1. Calculus of Variations and Partial Differential Equations
  2. Calculus of Variations and Partial Differential Equations : Volume 55
  3. Calculus of Variations and Partial Differential Equations : Volume 55, Issue 6, December 2016
  4. Dissipative measure-valued solutions to the compressible Navier–Stokes system
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Calculus of Variations and Partial Differential Equations : Volume 56
Calculus of Variations and Partial Differential Equations : Volume 55
Calculus of Variations and Partial Differential Equations : Volume 55, Issue 6, December 2016
A note on the nonexistence of quasi-harmonic spheres
On the deformation of discrete conformal factors on surfaces
Estimates for capacity and discrepancy of convex surfaces in sieve-like domains with an application to homogenization
Metrics of positive scalar curvature and unbounded min-max widths
An optimization problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation
A sharp Trudinger–Moser inequality on any bounded and convex planar domain
The minimum sets and free boundaries of strictly plurisubharmonic functions
Dissipative measure-valued solutions to the compressible Navier–Stokes system
Existence of stable H-surfaces in cones and their representation as radial graphs
Blow-up behavior for a degenerate elliptic $$\sinh $$ -Poisson equation with variable intensities
Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions
Multiple solutions of a parameter-dependent quasilinear elliptic equation
The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds
Multiple solutions for the nonparametric Plateau problem within the Euclidean space $$\mathbb R^p$$ of arbitrary dimension
The Robin–Laplacian problem on varying domains
On a Lotka-Volterra competition system: diffusion vs advection
On elliptic systems with Sobolev critical growth
Boundary concentration phenomena for the higher-dimensional Keller–Segel system
Semigeostrophic equations in physical space with free upper boundary
Slow motion for the nonlocal Allen–Cahn equation in n dimensions
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
Bi-Sobolev homeomorphisms f with Df and $$Df^{-1}$$ of low rank using laminates
Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type
Regularity for free interface variational problems in a general class of gradients
Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency
Calculus of Variations and Partial Differential Equations : Volume 55, Issue 5, October 2016
Calculus of Variations and Partial Differential Equations : Volume 55, Issue 4, August 2016
Calculus of Variations and Partial Differential Equations : Volume 55, Issue 3, June 2016
Calculus of Variations and Partial Differential Equations : Volume 55, Issue 2, April 2016
Calculus of Variations and Partial Differential Equations : Volume 55, Issue 1, February 2016
Calculus of Variations and Partial Differential Equations : Volume 54
Calculus of Variations and Partial Differential Equations : Volume 53
Calculus of Variations and Partial Differential Equations : Volume 52
Calculus of Variations and Partial Differential Equations : Volume 51
Calculus of Variations and Partial Differential Equations : Volume 50
Calculus of Variations and Partial Differential Equations : Volume 49
Calculus of Variations and Partial Differential Equations : Volume 48
Calculus of Variations and Partial Differential Equations : Volume 47
Calculus of Variations and Partial Differential Equations : Volume 46
Calculus of Variations and Partial Differential Equations : Volume 45
Calculus of Variations and Partial Differential Equations : Volume 44
Calculus of Variations and Partial Differential Equations : Volume 43
Calculus of Variations and Partial Differential Equations : Volume 42
Calculus of Variations and Partial Differential Equations : Volume 41
Calculus of Variations and Partial Differential Equations : Volume 40
Calculus of Variations and Partial Differential Equations : Volume 39
Calculus of Variations and Partial Differential Equations : Volume 38
Calculus of Variations and Partial Differential Equations : Volume 37
Calculus of Variations and Partial Differential Equations : Volume 36
Calculus of Variations and Partial Differential Equations : Volume 35
Calculus of Variations and Partial Differential Equations : Volume 34
Calculus of Variations and Partial Differential Equations : Volume 33
Calculus of Variations and Partial Differential Equations : Volume 32
Calculus of Variations and Partial Differential Equations : Volume 31
Calculus of Variations and Partial Differential Equations : Volume 30
Calculus of Variations and Partial Differential Equations : Volume 29
Calculus of Variations and Partial Differential Equations : Volume 28
Calculus of Variations and Partial Differential Equations : Volume 27
Calculus of Variations and Partial Differential Equations : Volume 26
Calculus of Variations and Partial Differential Equations : Volume 25
Calculus of Variations and Partial Differential Equations : Volume 24
Calculus of Variations and Partial Differential Equations : Volume 23
Calculus of Variations and Partial Differential Equations : Volume 22
Calculus of Variations and Partial Differential Equations : Volume 21
Calculus of Variations and Partial Differential Equations : Volume 20
Calculus of Variations and Partial Differential Equations : Volume 19
Calculus of Variations and Partial Differential Equations : Volume 18
Calculus of Variations and Partial Differential Equations : Volume 17
Calculus of Variations and Partial Differential Equations : Volume 16
Calculus of Variations and Partial Differential Equations : Volume 15
Calculus of Variations and Partial Differential Equations : Volume 14
Calculus of Variations and Partial Differential Equations : Volume 13
Calculus of Variations and Partial Differential Equations : Volume 12
Calculus of Variations and Partial Differential Equations : Volume 11
Calculus of Variations and Partial Differential Equations : Volume 10
Calculus of Variations and Partial Differential Equations : Volume 9
Calculus of Variations and Partial Differential Equations : Volume 8
Calculus of Variations and Partial Differential Equations : Volume 7
Calculus of Variations and Partial Differential Equations : Volume 6
Calculus of Variations and Partial Differential Equations : Volume 5

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Dissipative measure-valued solutions to the compressible Navier–Stokes system

Content Provider SpringerLink
Author Feireisl, Eduard Gwiazda, Piotr Wiedemann, Emil Świerczewska Gwiazda, Agnieszka
Copyright Year 2016
Abstract We introduce a new concept of dissipative measure-valued solution to the compressible Navier–Stokes system satisfying, in addition, a relevant form of the total energy balance. Then we show that a dissipative measure-valued and a standard smooth classical solution originating from the same initial data coincide (weak-strong uniqueness principle) as long as the latter exists. Such a result facilitates considerably the proof of convergence of solutions to various approximations including certain numerical schemes that are known to generate a measure-valued solution. As a byproduct we show that any measure-valued solution with bounded density component that starts from smooth initial data is necessarily a classical one.
Ending Page 20
Page Count 20
Starting Page 1
File Format PDF
ISSN 09442669
e-ISSN 14320835
Journal Calculus of Variations and Partial Differential Equations
Issue Number 6
Volume Number 55
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2016-11-02
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Uniqueness problems: global uniqueness, local uniqueness, non-uniqueness Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Theoretical, Mathematical and Computational Physics Navier-Stokes equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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