Nachtrag. Directe Ableitung des Lie'schen Fundamentaltheorems durch die Methode von Cauchy
Nash equilibria for a model of traffic flow with several groups of drivers
Traffic flow is modeled by a conservation law describing the density of cars. It is assumed that each driver chooses his own departure time in order to minimize the sum of a departure and an arrival cost. There are N groups of drivers, The i-th group consists of κi drivers, sharing the same departure and arrival costs ϕi(t),ψi(t). For any given population sizes κ1,...,κn, we prove the existence of a Nash equilibrium solution, where no driver can lower his own total cost by choosing a different departure...
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields.
Necessary conditions for strong hyperbolicity of first order systems
Neuer und directer Beweis eines Fundamentalsatzes der Invariantentheorie.
New and old function spaces in the theory of PDEs and nonlinear analysis
New Approach to Shocks Generation for Conservation Laws. Example: Global Solution to Hopf Equation
Non completely solvable systems of complex first order PDEs
Non unicité de Hölmgren pour des problèmes non linéaires
Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices
The present paper describes mobile carrier transport in semiconductor devices with constant densities of ionized impurities. For this purpose we use one-dimensional partial differential equations. The work gives the proofs of global existence of solutions of systems of such kind, their bifurcations and their stability under the corresponding assumptions.
Nonlinear multidimensional parabolic-hyperbolic equations.
Nonlinear perturbations of systems of partial differential equations with constant coefficients.
Nonlocal problems for first order functional partial differential equations
Local existence of generalized solutions to nonlocal problems for nonlinear functional partial differential equations of first order is investigated. The proof is based on the bicharacteristics and successive approximations methods.
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system.
Non-Trapping sets and Huygens Principle
We consider the evolution of a set according to the Huygens principle: i.e. the domain at time t>0, Λt, is the set of the points whose distance from Λ is lower than t. We give some general results for this evolution, with particular care given to the behavior of the perimeter of the evoluted set as a function of time. We define a class of sets (non-trapping sets) for which the perimeter is a continuous function of t, and we give an algorithm to approximate the evolution. Finally we restrict...
Non-unicité du transport par un champ de vecteurs presque
Nous exposons un exemple de non unicité du problème de Cauchy non caractéristique pour l’équation de transport associé à un champ de vecteurs borné, à divergence nulle et néanmoins à coefficients peu réguliers
Note on the solution of transport equation by Tau method and Walsh functions.
Noyaux élémentaires d'équations aux dérivées partielles du premier ordre
Numerical study by a controllability method for the calculation of the time-periodic solutions of the Maxwell and Vlasov-Maxwell systems
The topic of this paper is the numerical analysis of time periodic solution for electro-magnetic phenomena. The Limit Absorption Method (LAM) which forms the basis of our study is presented. Theoretical results have been proved in the linear finite dimensional case. This method is applied to scattering problems and transport of charged particles.
Numerical study by a controllability method for the calculation of the time-periodic solutions of the Maxwell and Vlasov-Maxwell systems
The topic of this paper is the numerical analysis of time periodic solution for electro-magnetic phenomena. The Limit Absorption Method (LAM) which forms the basis of our study is presented. Theoretical results have been proved in the linear finite dimensional case. This method is applied to scattering problems and transport of charged particles.