Geodesic

Sommaire du Fascicule no. 1

Asymptotic expansions, approximation theory, topology

Arlen Mikhailovich Il'in (on the occasion of the 70th anniversary)
p. 3-9
Asymptotics of solution for a~problem of convective diffusion with volume reaction near a~spherical drop
p. 10-14
Asymptotic solutions of the Schr\"odinger equation in thin tubes
p. 15-25
Navigation by means of the field of altitudes and its fragment
p. 26-37
Singularly perturbed parabolic problem in the case of intersecting roots of the degenerate equation
p. 38-44
Investigation of alternating contrast structures
p. 45-49
On domains with a~narrow isthmus in the critical case
p. 50-55
Asymptotic analysis of a~subharmonic autoresonance model
p. 56-63
Birth of solitons during passage through local resonance
p. 64-70
Approximation of a~singularly perturbed elliptic optimal control problem with geometric constraints on the control
p. 71-78
Dispersion-managed solitons in the limit of large energy
p. 79-87
Justification of asymptotic expansions for the principal resonance equations
p. 88-101
Asymptotic solutions for Hartree equations and logarithmic obstructions for higher corrections of semiclassical approximation
p. 102-106
On the asymptotics of a~solution of a~second order elliptic equation with small parameter at a~higher derivative
p. 107-120
Delay of exchange of stabilities in singularly perturbed parabolic problems
p. 121-130
Different kinds of closedness in $S(n)$-spaces
p. 131-136
Method of asymptotic partial decomposition of domain and partial homogenization
p. 137-142
Asymptotics of solutions of a~perturbed problem on decay of a~discontinuity
p. 143-158
On the dynamic unfolding of a~saddle-center bifurcation and the change in the action
p. 159-164
Grid approximation of improved convergence order for a~singularly perturbed elliptic convection-diffusion equation
p. 165-182
Solutions of the extended nonlinear Schr\"odinger equation that oscillate at infinity
p. 183-195

Sommaire du Fascicule no. 2

Fluid dynamics

Constructing new classes of solutions of a~nonlinear filtration equation by special consistent series
p. 10-20
A~delay effect upon periodic oscillations in a~conservative system
p. 21-40
Computational construction of the microtargets on the basis of realization of shockless compression conception
p. 41-54
On an approximate solution of a~one-dimensional linear singularly perturbed problem
p. 55-63
Finding parameters of acoustic transmission
p. 64-72
Solution of a~retrospective inverse problem for a~nonlinear evolutionary model
p. 73-86
Analytical and numerical investigation of a~class of axisymmetric processes of strong shockless compression of an ideal gas
p. 87-94
On complete integral of quasi-linear second order differential equations with two independent variables
p. 95-104
Nonlocal solutions of the Cauchy problem in scales of analytic polyalgebras
p. 105-128
A~class of viscous fluid flows
p. 129-136
On computation of the initial stage of the shock-free compression of symmetric gas prisms
p. 137-150
The collocation and least squares method for numerical solution of Navier--Stokes equations
p. 151-171
An improved piecewise uniform mesh for a~singularly perturbed elliptic reaction-diffusion equation
p. 172-179