Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary.
Asymptotic representations for solutions of bisingular problems.
Asymptotic solution of the Signorini problem of a beam lying on rigid bases.
Asymptotic solutions of equations with slowly varying coefficients
Asymptotic theory for weakly nonlinear wave equations in semi-infinite domains.
Asymptotically self-similar solutions for the parabolic system modelling chemotaxis
We consider a nonlinear parabolic system modelling chemotaxis , in ℝ², t > 0. We first prove the existence of time-global solutions, including self-similar solutions, for small initial data, and then show the asymptotically self-similar behavior for a class of general solutions.
Asymptotics for multifractal conservation laws
We study asymptotic behavior of solutions to multifractal Burgers-type equation , where the operator A is a linear combination of fractional powers of the second derivative and f is a polynomial nonlinearity. Such equations appear in continuum mechanics as models with fractal diffusion. The results include decay rates of the -norms, 1 ≤ p ≤ ∞, of solutions as time tends to infinity, as well as determination of two successive terms of the asymptotic expansion of solutions.
Asymptotics for , II. Scattering theory
Asymptotics for I. Global existence and decay
Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity
Asymptotics of solutions to the Dirichlet-Cauchy problem for parabolic equations in domains with edges
This paper is concerned with the Dirichlet-Cauchy problem for second order parabolic equations in domains with edges. The asymptotic behaviour of the solution near the edge is studied.
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes
Auto-Bäcklund transformation and exact analytical solutions for the Kupershmidt equation.