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Invariance of functionals and related Euler–Lagrange equations Euler–Lagrange equations. A similar problem is investigated for equations with quasi
Uniqueness criterion for solutions of nonlocal problems on a finite interval for abstract singular equationsFor abstract singular equations, nonlocal problems belonging to the class of ill-posed problems
Dynamics of multidimensional wave structures of the soliton and vortex types in complex continuous media including atmosphere, hydrosphere and space plasma and also the vortex systems described by Euler-type equations are presented. The generalizations (relevant
Some Solutions of the Euler System of an Inviscid Incompressible FluidWe consider a system of two-dimensional Euler equations describing the motions of an
inviscid
Transverse free vibration of euler–bernoulli beam with pre-axial pressure resting on a variable pasternak elastic foundation under arbitrary boundary conditions for analysis of transverse free vibration of a finite-length Euler-Bernoulli beam resting on a variable
On Compact Form of Eulers Dynamic Equations for Relative Motion of BodyThe compact expression of Eulers equations of dynamics for the relative motion of a body through
On Deriving Euler Equation in Hydrodynamics and Сonsequences of Incompressibility Condition for LiquidWe discuss the methodology of deriving Euler equation in Hydrodynamics and show
Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous GroupsWe define Euler–Hilbert–Sobolev spaces and obtain embedding results on homogeneous groups using
On the solvability of initial and boundary value problems for abstract functional-differential Euler-Poisson-Darboux equations problems for a functional-differential equation generalizing the Euler-Poisson-Darboux equation
Decoupling schemes for predicting compressible fluid flowsIn this paper we consider two implicit schemes for the compressible Euler equations, consisting
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