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entropy solutions

Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

... ENTROPY SOLUTIONS OF MULTIDIMENSIONAL SCALAR CONSERVATION LAWS GUI-QIANG CHEN ST ´ EPHANE JUNCA MICHEL RASCLE ...for entropy so- lutions only in L ∞ of multidimensional scalar conservation laws is ...

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On a Hamiltonian regularisation and regularity of entropy solutions of some nonlinear hyperbolic equations

On a Hamiltonian regularisation and regularity of entropy solutions of some nonlinear hyperbolic equations

... (strong) solutions with classical derivatives can not ...time) solutions, weak solutions must be defined, where the derivatives are defined in the sense of ...Weak solutions do exist globally ...

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Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV

Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV

... Abstract In this article, we investigate the BV stability of 2×2 hyperbolic systems of conserva- tion laws with strictly positive velocities under dissipative boundary conditions. More precisely, we derive sufficient ...

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Optimal regularity for all time for entropy solutions of conservation laws in $BV^s$

Optimal regularity for all time for entropy solutions of conservation laws in $BV^s$

... of entropy solutions [ 23 , 42 , 43 ...the entropy solutions of ( 1 ) in BV s , with BV s data has been done in [ 13 ] and with L ∞ data in the same spaces in [ 13 , 38 , 39 ...that ...

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Entropy solutions in $BV^s$ for a class of triangular systems involving a transport equation

Entropy solutions in $BV^s$ for a class of triangular systems involving a transport equation

... measure solutions for ...measure solutions was shown in [ 24 ...bounded entropy solutions are provided with an optimal fractional BV regularity for the initial data u 0 ...

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A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions

A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions

... entropy solutions. To be more precise, in this paper, we will consider solutions ` a la Glimm [15], that is, entropy solutions in the sense above, of small total variation in x for all ...

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Smoothing effect in $BV_\Phi$  for entropy solutions of scalar conservation laws

Smoothing effect in $BV_\Phi$ for entropy solutions of scalar conservation laws

... s . We extend the smoothing eect proved in [BGJ] for any C 1 strictly convex ux, more general than a ux with a power law behavior. The rst tool which has provided optimal regularity results is the Lax-Olenik ...

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Non-controllability of the viscous Burgers equation and a detour into the well-posedness of unbounded entropy solutions to scalar conservation laws

Non-controllability of the viscous Burgers equation and a detour into the well-posedness of unbounded entropy solutions to scalar conservation laws

... kinetic solutions), nor the fine regularization estimates of the super-critical case [ 43 ...2 entropy solutions, and give the uniqueness result based upon the automatic boundary regularity of such ...

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Asymptotic properties of entropy solutions to fractal Burgers equation

Asymptotic properties of entropy solutions to fractal Burgers equation

... imum principle: ess inf u 0 ≤ u ≤ ess sup u 0 . If α ∈ (1, 2], all solutions to (2.7)–(2.8) with bounded initial conditions are smooth and global-in-time (see [8, 16, 17]). On the other hand, the occurrence of ...

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On the existence of L2-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions

On the existence of L2-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions

... these solutions satisfy the Clausius inequality: the change of the free energy is bounded by the work done by the boundary ...thermodynamic solutions, and we conjecture their ...weak solutions, ...

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Existence of weak entropy solutions for gas chromatography system with one or two active species and non convex isotherms

Existence of weak entropy solutions for gas chromatography system with one or two active species and non convex isotherms

... −c j | is convergent. § 5. Godunov scheme There is two different approaches to build a Godunov scheme for the system (1.12)-(1.13): the first one uses the “natural” space-time framework (the evolution variable is t), the ...

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On the existence of L2-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions

On the existence of L2-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions

... Accordingly to Lemma 2 in [23], there exists a family of half-plain supported entropy-entropy fluxes (η, q) such that η and q are bounded together with their first and second derivatives. These are ...

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Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel

Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel

... of entropy solutions The Lipschitz continuous dependence of entropy solutions with respect to initial data can be derived using Kruˇ zkov’s doubling of variable technique [13] as in [3, 4, ...

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Entropy of regular timed languages

Entropy of regular timed languages

... 1.5. Our second problem: ruling out pathologies in timed automata An amazing theoretical application of the entropy of timed languages is related to a well-known, but not yet sufficiently understood issue of ...

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Entropy: a Consolidation Manager for Clusters

Entropy: a Consolidation Manager for Clusters

... of VMs that need to migrate as compared to the amount of available resources only exacerbates these problems. Thus, it is essential that consolidation be as efficient and reactive as possible. In this paper, we propose ...

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Entropy-controlled Last-Passage Percolation

Entropy-controlled Last-Passage Percolation

... the maximal number of points than can be included in a set ∆ that has entropy smaller than B. In other words, it is the maximal number of points in Υ m or Υ m that can be collected by a path of entropy ...

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Entanglement Entropy of Scattering Particles

Entanglement Entropy of Scattering Particles

... tanglement entropy is given by S EE = lim n→1 S RE (n) = − lim n→1 ∂n ∂ tr A (ρ A ) n ...entanglement entropy with the area of an extremal surface in an anti- de Sitter space, while Maldacena and Susskind ...

5

Statistical optimization for passive scalar transport: maximum entropy production versus maximum Kolmogorov–Sinai entropy

Statistical optimization for passive scalar transport: maximum entropy production versus maximum Kolmogorov–Sinai entropy

... maximum entropy production (MEP) that al- lowed (Paltridge, 1975) to derive the distribution of heat and clouds at the Earth surface with reasonable accuracy, with- out any parameters and with a model of a dozen ...

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ERGODIC MEASURES WITH INFINITE ENTROPY

ERGODIC MEASURES WITH INFINITE ENTROPY

... in other compact metric spaces that are not manifolds? For instance, do they hold if the space is a Cantor set K? If the aim were just to construct f ∈ Hom(K) with ergodic mea- sures with infinite metric entropy, ...

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Entropy and relaxation processes Motivation

Entropy and relaxation processes Motivation

... The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au[r] ...

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