Foreword [Proceedings of the Eighth International School on Mathematical Theory in Fluid Mechanics in memory of Professor Jindřich Nečas]
Formal and Convergent Solutions of Singular Partial Differential Equations.
Formal passage from kinetic theory to incompressible Navier–Stokes equations for a mixture of gases
We present in this paper the formal passage from a kinetic model to the incompressible Navier−Stokes equations for a mixture of monoatomic gases with different masses. The starting point of this derivation is the collection of coupled Boltzmann equations for the mixture of gases. The diffusion coefficients for the concentrations of the species, as well as the ones appearing in the equations for velocity and temperature, are explicitly computed under the Maxwell molecule assumption in terms of the...
Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity
In this paper, we calculate the formal Gevrey index of the formal solution of a class of nonlinear first order totally characteristic type partial differential equations with irregular singularity in the space variable. We also prove that our index is the best possible one in a generic case.
Formation and development of global shock for p-system
Formation of singularities for viscosity solutions of Hamilton-Jacobi equations
Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems
We present some results on the formation of singularities for C^1 - solutions of the quasi-linear N × N strictly hyperbolic system Ut + A(U )Ux = 0 in [0, +∞) × Rx . Under certain weak non-linearity conditions (weaker than genuine non-linearity), we prove that the first order derivative of the solution blows-up in finite time.
Formes bilinéaires compatibles avec un système
Formes bilinéaires compatibles avec un système hyperbolique et problème de Cauchy
Formes harmoniques et cohomologie relative des algèbres de Lie
Formes multilinéaires sur des sous-espaces de distributions
Formes normales pour des opérateurs pseudodifférentiels semiclassiques en dimension 1
Forms, functional calculus, cosine functions and perturbation
In this article we describe properties of unbounded operators related to evolutionary problems. It is a survey article which also contains several new results. For instance we give a characterization of cosine functions in terms of mild well-posedness of the Cauchy problem of order 2, and we show that the property of having a bounded -calculus is stable under rank-1 perturbations whereas the property of being associated with a closed form and the property of generating a cosine function are not....
Formulars for the L...-minimal solutions of the ...-equation in the unit ball of C...
Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.
Let D be a bounded strictly pseudoconvex domain in Cn. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.
Formulation and Analysis of a Parabolic Transmission Problem on Disjoint Intervals
Formulation des valeurs au bord pour les systèmes réguliers
Formulation forte entropique de lois scalaires hyperboliques-paraboliques dégénérées
Formulation variationnelle de systèmes Schrödinger-Poisson en dimension
Formulations mixtes augmentées et applications