Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity
Necessary conditions for strong hyperbolicity of first order systems
Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary
New Approach to Shocks Generation for Conservation Laws. Example: Global Solution to Hopf Equation
New exact solutions for a reaction-diffusion equation and a quasi-Camassa Holm equation.
New semi-Hamiltonian hierarchy related to integrable magnetic flows on surfaces
We consider magnetic geodesic flows on the two-torus. We prove that the question of existence of polynomial in momenta first integrals on one energy level leads to a semi-Hamiltonian system of quasi-linear equations, i.e. in the hyperbolic regions the system has Riemann invariants and can be written in conservation laws form.
New singular solutions of Protter's problem for the 3D wave equation.
New unilateral problems in stratigraphy
This work deals with the study of some stratigraphic models for the formation of geological basins under a maximal erosion rate constrain. It leads to introduce differential inclusions of degenerated hyperbolic-parabolic type , where H is the maximal monotonous graph of the Heaviside function and E is a given non-negative function. Firstly, we present the new and realistic models and an original mathematical formulation, taking into account the weather-limited rate constraint in the conservation...
Nombres premiers et vibrations
Non local solutions of a nonlinear hyperbolic partial differential equation.
Noncharacteristic mixed problems for hyperbolic systems of the first order [Book]
Non-classical phase transitions at a sonic point.
Nonclassical problems for the second order hyperbolic equations.
Nonclassical Riemann solvers and kinetic relations III: A nonconvex hyperbolic model for Van der Waals fluids.
Nonclassical shock waves of conservation laws: Flux function having two inflection points.
Nonexistence of global solutions of a quasilinear bi-hyperbolic equation with dynamical boundary conditions.
Nonexistence of global solutions of nonlinear wave equations.
Nonexistence of global solutions to some differential inequalities of the second order and applications.
Nonexistence of spatially localized free vibrations for a class of nonlinear wave equations.
Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type.