# conservation laws

### Event-based control of linear hyperbolic systems of conservation laws

**conservation**

**laws**have been designed. The analysis of global exponential stabil- ity is based on Lyapunov ...

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### Robust feedforward boundary control of hyperbolic conservation laws

**conservation**

**laws**Xavier Litrico, Vincent Fromion and Gérard Scorletti Abstract— The paper proposes a feedforward boundary con- trol to reject measured disturbances for systems modelled by ...

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### Semigroup approach to conservation laws with discontinuous flux

**conservation**

**laws**in Ω l and Ω r ) we readily see that the solution is uniquely defined by the datum outside the triangle T := {(t, x) | t ∈ (0, T ], |x| ≤ Lt} where L = L 0 + ...

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### Applications of the DFLU flux to systems of conservation laws

**conservation**

**laws**is the complexity of con- structing the Riemann solvers. One way to overcome this difficulty is to consider ...

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### Fractional spaces and conservation laws

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**laws**Pierre CASTELLI, Pierre-Emmanuel JABIN, St´ephane JUNCA Abstract In 1994, Lions, Perthame and Tadmor conjectured the maximal smoothing effect for multidimensional scalar ...

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### Stability estimates for non-local scalar conservation laws

**conservation**

**laws**Felisia Angela Chiarello 1 Paola Goatin 1 Elena Rossi 1 Abstract We prove the stability of entropy weak solutions of a class of scalar

**conservation**

**laws**with non-local ...

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### Conservation Laws with Unilateral Constraints in Traffic Modeling

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**laws**, see [ 21 , Chapter II], we need first to introduce the auxiliary function ...

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### Viscoelastic flows of Maxwell fluids with conservation laws

**conservation**

**laws**to model viscoelastic flows with Upper-Convected Maxwell fluids, either 3D compressible or 2D incompressible with hydrostatic pressure and a free ...

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### Non-local conservation laws for traffic flow modeling

**conservation**

**laws**in one space dimension, given by a non-local multi-class model obtained as a generalization of the M -populations model for traffic flow described in [ 8 ...scalar ...

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### Monotonization of flux, entropy and numerical schemes for conservation laws

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### Conservation laws in the modelling of collective phenomena

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### Optimal Regularizing Effect for Scalar Conservation Laws

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### General constrained conservation laws. Application to pedestrian flow modeling.

**conservation**law in one space-dimension displaying nonclassical shocks. Such a ...

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### On the maximal smoothing effect for multidimensional scalar conservation laws

**conservation**

**laws**. preprint (2015), hal-01133725, 28 pp. [4] G.-Q. Chen, S. Junca, M. Rascle. Validity of nonlinear geometric optics for ...

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### Nonlocal systems of conservation laws in several space dimensions

**conservation**

**laws**in one space dimension in the unknown U = (U 1 , U 2 ). System (3.6) has been extended and studied from many different points of ...

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### Modeling traffic on urban road networks with hyperbolic conservation laws

**conservation**

**laws**on networks is not trivial, because of the difficulty of modeling the dynamics at the junctions, and more precisely the fact that the boundary conditions on incoming and outgoing ...

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### Numerical Methods for the solution of Hyperbolic Conservation Laws

**Conservation**

**Laws**...hyperbolic

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**laws**in the one-dimensional scalar case, by studying Godunov and van Leer’s ...hyperbolic

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**laws**, a theoretical ...

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### L1 and L8 intermediate asymptotics for scalar conservation laws

**conservation**law, Commun. Pure Appl. Math. 52 no. 11 (1999), 1427–1442. [14] D. Serre, Systems of

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**laws**– 1. ...

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### Euler-Lagrange change of variables in conservation laws

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### Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws

**CONSERVATION**

**LAWS**J. TRYOEN † ‡ , O. LE MAˆITRE ‡ , AND A. ERN † Abstract. This paper deals with the design of adaptive anisotropic discretization schemes for

**conservation**...

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