zbMath0484.58001MaRDI QIDQ3943693
L. V. Ovsyannikov
Publication date: 1978
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups ⋮
Exact solutions for layered three-dimensional nonstationary isobaric flows of a viscous incompressible fluid ⋮
Group analysis of the one-dimensional gas dynamics equations in Lagrangian coordinates and conservation laws ⋮
A group-theoretic approach to the reducibility problem of optimal processes ⋮
On Laplace invariants for equations with dominating third-order partial derivative and two independent variables ⋮
Group classification of nonlinear time-fractional diffusion equation with a source term ⋮
Symmetry properties of a nonlinear acoustics model ⋮
Geometric theory of differential systems: linearization criterion for systems of second-order ordinary differential equations with a 4-dimensional solvable symmetry group of the Lie-Petrov type \(VI_{1}\) ⋮
On the Laplace invariants of a fourth-order equation ⋮
Bifurcation, symmetry, and cosymmetry in differential equations unresolved with respect to the derivative with variational branching equations ⋮
Conservation laws for two-phase filtration models ⋮
Generalized diffusion of vortex: self-similarity and the Stefan problem ⋮
Invariant difference schemes for the Ermakov system ⋮
Three-dimensional Lie algebras of transformations of the plane ⋮
The conservation laws and group properties of the equations of gas dynamics with zero velocity of sound ⋮
Similarity and dimensional analysis in the plane problem of the propagation of a vertical hydraulic fracture crack in an elastic medium ⋮
Properties and exact solutions of the equations of motion of shallow water in a spinning paraboloid ⋮
Invariant properties of systems of equations of the mechanics of inhomogeneous fluids ⋮
Asymptotic distribution of the size of a \(d\)-dimensional model of an open string ⋮
Euler-Darboux transformation for the Fokker-Planck equation ⋮
Self-similar solutions in the problem of generalized vortex diffusion ⋮
Symmetries and conservation laws of difference equations ⋮
Nonstandard duality and nonlocal necessary optimality conditions in nonconvex optimal control problems ⋮
Differential invariants and operators of invariant differentiation of the projectable action of Lie groups ⋮
Travelling wave solutions for a generalized double dispersion equation ⋮
Constructing conservation laws for fractional-order integro-differential equations ⋮
Self-similar solution of the problem of a turbulent flow in a round submerged jet ⋮
Application of group-theoretical methods to solving the point explosion problem in incompressible liquid ⋮
Conservation laws of second order for the Born-Infeld equation and other related equations ⋮
String symmetries and conservation laws ⋮
Group reduction of the Lamé equations ⋮
Classification of solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point ⋮
Wahlquist-Estabrook type coverings over the heat equation ⋮
A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures ⋮
System of Laplace equations in a half-space with a free interface, capillary-gravitational waves, bifurcation, and symmetry ⋮
Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. I ⋮
The Galilei group in an optimal control problem ⋮
Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation ⋮
Reducing systems of linear differential equations to a passive form ⋮
On the symmetry groups of dynamic systems ⋮
Identities on solutions of the wave equation in the enveloping algebra of the conformal group ⋮
Nonstationary robust systems: a generalization of the class of control systems ⋮
On the fiber structure of symmetry invariance sets of solutions to quasilinear equations ⋮
The non-stationary invariant solution of the equations of gas dynamics describing the spreading of a gas into a vacuum ⋮
Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms ⋮
Eikonal equation for anisotropic media ⋮
Method of calculating the characteristics of ablation of materials on the basis of invariant solutions of equations in partial derivatives ⋮
Unsteady flows with a constant total pressure, described by the equations of ideal magnetohydrodynamics ⋮
Steady vortex flows of a self-gravitating gas ⋮
On structure-preserving point transformations of differential equations ⋮
Differentially invariant solutions of equations of plane steady flows of a viscous heat-conducting perfect gas with a polytropic equation of state ⋮
Exact solution of the Navier-Stokes equations in a fluid layer between the moving parallel plates ⋮
Self-similar degeneration of the turbulent wake behind a body towed in a passively stratified medium ⋮
Partially invariant solutions in gas dynamics and implicit equations ⋮
Application of group analysis to stochastic equations of fluid dynamics ⋮
On the E. S. Pyatnitskii principle of decomposition ⋮
Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal smoothness assumptions ⋮
On conservation forms and invariant solutions for classical mechanics problems of Liénard type ⋮
On new conservation laws of fin equation ⋮
The dual stream function representation of an ideal steady fluid flow and its local geometric structure ⋮
Exact step-like solutions of one-dimensional shallow-water equations over a sloping bottom ⋮
Branching equations with crystallographic group symmetry ⋮
Group-theoretic matching of the length and the equality principles in geometry ⋮
Local algebraic analysis of differential systems ⋮
Lie symmetries and equivalence transformations for the Barenblatt-Gilman model ⋮
Classification of four-dimensional transitive local Lie groups of transformations of \(R^{4}\) and their two-point invariants ⋮
Algebraic and geometric structures of analytic partial differential equations ⋮
Reduction and decomposition of mathematical models and objects ⋮
Conservation laws and exact solutions of a generalized Benjamin-Bona-Mahony-Burgers equation ⋮
Petrophysics laws as invariants of filtration model ⋮
A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations ⋮
Cartan projective connection spaces and group-theoretic analysis of systems of second-order ordinary differential equations ⋮
Invariant solutions of the special model of fluids with internal inertia ⋮
Conservation laws of evolution systems ⋮
Internal gravity wave beams as invariant solutions of Boussinesq equations in geophysical fluid dynamics ⋮
Computer algebra application for determining Lie and Lie-Bäcklund symmetries of differential equations ⋮
Building of mathematical models of continuum media on the basis of the invariance principle ⋮
Integrable boundary value problems for the multicomponent Schrödinger equations ⋮
Evolution systems on a lattice ⋮
A new family of exact solutions of Navier-Stokes equations ⋮
Phenomenologically symmetric local Lie groups of transformations of the space \(R^s\) ⋮
Linear autonomy conditions for the basic Lie algebra of a system of linear differential equations ⋮
Symmetry operators of the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation with a quadratic operator ⋮
On self-similar Ovsyannikov's vortex ⋮
Partial differential equations with finite-dimensional solution manifolds ⋮
Group classification of quasilinear elliptic-type equations. II. Invariance under solvable Lie algebras ⋮
Criterion for the nondegeneracy of a transformation group ⋮
Geometry of systems of differential equations. VII: Applications and examples ⋮
Group-theoretic analysis of the Navier-Stokes equations in the rotationally symmetric case and some new exact solutions ⋮
Geometry of systems of differential equations. IV: Defining Lie-Bäcklund system ⋮
Geometry of systems of differential equations. V: Defining a Lie structure ⋮
Group-invariant solutions of kinetic equations ⋮
Local and nonlocal currents for nonlinear equations ⋮
Conformal invariance in the 3-space and semi-invariant manifolds ⋮
Transformation groups in network spaces ⋮
Non-Lie Ansätze and exact solutions of a nonlinear spinor equation ⋮
Maximal subalgebras of rank n-1 of the algebra AP(1,n) and reduction of nonlinear wave equations. I ⋮
Reduction and quotient equations for differential equations with symmetries ⋮
Group classification of eikonal equations for the wave equation in inhomogeneous media ⋮
Linear differential relations between solutions of the class of Euler-Poisson-Darboux equations
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