Asymptotic behavior of elliptic boundary-value problems with some small coefficients.
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part II
Asymptotic behavior of solutions of a system of viscous conservation laws.
Asymptotic behavior of solutions on a thin plastic plate.
Asymptotic behavior of the solution of quasilinear parametric variational inequalities in a beam with a thin neck.
Asymptotic expansion of solutions of parabolic equations with a small parameter.
Asymptotic expansions for linear symmetric hyperbolic systems with small parameter.
Asymptotic properties of ground states of scalar field equations with a vanishing parameter
We study the leading order behaviour of positive solutions of the equation , where , and when is a small parameter. We give a complete characterization of all possible asymptotic regimes as a function of , and . The behavior of solutions depends sensitively on whether is less, equal or bigger than the critical Sobolev exponent . For the solution asymptotically coincides with the solution of the equation in which the last term is absent. For the solution asymptotically coincides...
Asymptotic representations for solutions of bisingular problems.
Asymptotic solutions of diffusion models for risk reserves.
Blow-up solutions of the self-dual Chern–Simons–Higgs vortex equation
Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations
We deal with boundary layers and quasi-neutral limits in the drift-diffusion equations. We first show that this limit is unique and determined by a system of two decoupled equations with given initial and boundary conditions. Then we establish the boundary layer equations and prove the existence and uniqueness of solutions with exponential decay. This yields a globally strong convergence (with respect to the domain) of the sequence of solutions and an optimal convergence rate to the quasi-neutral...
Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations
We deal with boundary layers and quasi-neutral limits in the drift-diffusion equations. We first show that this limit is unique and determined by a system of two decoupled equations with given initial and boundary conditions. Then we establish the boundary layer equations and prove the existence and uniqueness of solutions with exponential decay. This yields a globally strong convergence (with respect to the domain) of the sequence of solutions and an optimal convergence rate to the quasi-neutral...
Boundary layer for Chaffee-Infante type equation
This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.
Boundary layers for transmission problems with singularities.
Boundary Value Problem for Nonlinear Singularity perturbed Systems in Critical case of Exchange of Stability
Boundary value problems as limits of problems in all space
Boundary value problems for partial differential equations with piecewise constant delay.
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
Coherent and focusing multidimensional nonlinear geometric optics