scalar conservation law
Adjoint-based optimization on a network of discretized scalar conservation law PDEs with applications to coordinated ramp metering
... discretized conservation law PDE networks using the adjoint method [19, 42] via Godunov discretization [43], while detailing its application to coordinated ramp metering on freeway ...of scalar ...
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High-Field Limit from a Stochastic BGK Model to a Scalar Conservation Law with Stochastic Forcing
... a scalar conservation law with stochastic forcing starting from a stochastic BGK model with a high-field ...the scalar conservation law with stochastic ...
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A non-local scalar conservation law describing navigation processes
... non-local scalar conservation law in two space dimensions which arises as the formal hydrodynamic limit of a Fokker–Planck ...local scalar conservation law where the effective ...
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Optimal Rate of Convergence of a Stochastic Particle Method to Solutions of 1D Viscous Scalar Conservation Law Equations
... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - [r] ...
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A two-scale convergence result for a nonlinear scalar conservation law in one space variable
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Viscous scalar conservation law with stochastic forcing: strong solution and invariant measure
... JULIEN REYGNER Université Paris-Est, CERMICS (ENPC), 77455 Marne-la-Vallée, France. Abstract. We are interested in viscous scalar conservation laws with a white-in-time but spatially corre- lated stochastic ...
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Simultaneous denoising and enhancement of signals by a fractal conservation law
... fractal scalar conservation law, that is to say a conservation law regularized by a diffusive fractional power of the Laplace operator and [3] which analyzes the stability of finite ...
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Kinetic Formulation for a Parabolic Conservation Law. Application to Homogenization
... m(t, x, y, p) dt dx dy ≤ µ 0 (p), (3.5) and µ 0 belongs to L ∞ and vanishes at infinity. Equation (3.4) looks very much like the kinetic formulation for a homogeneous and hyperbolic scalar conservation ...
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Scalar conservation laws with moving density constraints arising in traffic flow modeling
... a scalar conservation law with a (fixed in space) constraint on the flux, introduced and studied in [1, ...the conservation equation and the trajectory of the ...
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L1 and L8 intermediate asymptotics for scalar conservation laws
... [13] T.-P. Liu & T. Yang, A new entropy functional for a scalar conservation law, Commun. Pure Appl. Math. 52 no. 11 (1999), 1427–1442. [14] D. Serre, Systems of conservation laws – 1. ...
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Exact controllability of scalar conservation laws with strict convex flux
... Post Bag No 6503, Sharadanagar, Bangalore - 560065, India. Abstract We consider one space dimension scalar conservation law with strict convex flux. The problem is to study exact controllability of ...
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Optimal Regularizing Effect for Scalar Conservation Laws
... the scalar conservation law: see [27] for the original contribution, [22] for an improved regularity result, and [32] for a detailed presen- tation of kinetic formulations and their ...
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On a Hamiltonian regularization of scalar conservation laws
... u x (t, x) ⩽ 2/t, ∀ t > 0. (2) Due to the H 1 −like energy equation, the solutions of ( 1 ) remains continuous for all time (` > 0), which is not the case for the inviscid Burgers equation (` = 0). A natural ...
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L2 formulation of multidimensional scalar conservation laws
... Notice that, for all t ≥ 0, the level sets of Y and U are related by: {(a, x), U(t, x) ≥ a} = {(a, x), Y (t, a, x) ≤ 1}. Thus, the method of construction of Y 0 out of U 0 and the derivation of U(t, x) from Y (t, a, x) ...
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Convergence of a stochastic particle approximation for fractional scalar conservation laws
... to scalar conservation laws using systems of interacting stochastic ...The scalar conservation law may involve a fractional Laplacian term of order α ∈ (0, ...the scalar ...
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Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes
... STOCHASTIC SCALAR CONSERVATION LAWS WITH MULTIPLE ROUGH FLUXES BENJAMIN GESS, BENOˆIT PERTHAME, AND PANAGIOTIS ...for scalar conservation laws with multi- ple rough time dependence in ...
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Well-posedness of IBVP for 1D scalar non-local conservation laws
... In recent years, the literature on non-local conservation laws has widely increased. These equations are indeed used to model various physical phenomena: from sedimentation mod- els [4] to granular flow [1], from ...
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Smoothing effect in $BV_\Phi$ for entropy solutions of scalar conservation laws
... convex ux: De nition 1. [C 1 strictly convex ux] f is a C 1 strictly convex ux if its derivative f 0 is increasing. Many papers -for instance [ADGV, AMV, AV, Gh, JVG, Le]- use the Lax-Olenik formula under this ...
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Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case
... between conservation laws and Hamilton-Jacobi equations when N = 1, it is very natural from the mathematical point of view to ask whether there is such a theory for the ...
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A Bhatnagar-Gross-Krook approximation to scalar conservation laws with discontinuous flux
... Remark 1.2. The kinetic formulation of scalar conservation laws with discontinu- ous spatial dependence of the form ∂ t u + ∂ x (B(x, u)) = 0 (which are more general than (1.4)) is derived in the last ...
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