# entropy solutions

### 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

**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 ...

246

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

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

**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

**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

**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 ...

13

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

31

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

**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 ...

42

### Asymptotic properties of entropy solutions to fractal Burgers equation

**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 ...

31

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

**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**, ...

15

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

20

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

**entropy**-

**entropy**fluxes (η, q) such that η and q are bounded together with their first and second derivatives. These are ...

14

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

**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, ...

18

### Entropy of regular timed languages

**entropy**of timed languages is related to a well-known, but not yet sufficiently understood issue of ...

42

### Entropy: a Consolidation Manager for Clusters

11

### Entropy-controlled Last-Passage Percolation

**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

**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

**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 ...

11

### ERGODIC MEASURES WITH INFINITE ENTROPY

**entropy**, ...

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### Entropy and relaxation processes Motivation

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