Search Results - "Shelkovich, V.M."

The Riemann problem admitting δ-, δ ′ -shocks, and vacuum states (the vanishing viscosity approach) by Shelkovich, V.M.

“…In this paper, using the vanishing viscosity method, we construct a solution of the Riemann problem for the system of conservation laws u t + ( u 2 ) x = 0 , v…”
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δ ′ -Shock waves as a new type of solutions to systems of conservation laws by Panov, E.Yu, Shelkovich, V.M.

“…A concept of a new type of singular solutions to systems of conservation laws is introduced. It is so-called δ ( n ) -shock wave, where δ ( n ) is nth…”
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Dynamics of propagation and interaction of δ -shock waves in conservation law systems by Danilov, V.G., Shelkovich, V.M.

“…We introduce a new definition of a δ -shock wave type solution for a class of systems of conservation laws in the one-dimensional case. The weak asymptotics…”
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Non-Haar p-adic wavelets and their application to pseudo-differential operators and equations by Khrennikov, A.Yu, Shelkovich, V.M.

“…In the present paper an infinite family of new compactly supported non-Haar p-adic wavelet bases in L 2 ( Q p n ) is constructed. These bases cannot be…”
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Asymptotical behavior of oneclass of p-adic singular Fourier integrals by Khrennikov, Andrei, Shelkovich, V.M.

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p -adic refinable functions and MRA-based wavelets by Khrennikov, A.Yu, Shelkovich, V.M., Skopina, M.

“…The main goal of this paper is the development of the MRA theory in L 2 ( Q p ) . We described a wide class of p -adic refinement equations generating p -adic…”
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Associated and quasi associated homogeneous distributions (generalized functions) by Shelkovich, V.M.

“…In this paper analysis of the concept of associated homogeneous distributions (generalized functions) is given, and some problems related to these…”
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The Cauchy problems for evolutionary pseudo-differential equations over p-adic field and the wavelet theory by Albeverio, S., Khrennikov, A.Yu, Shelkovich, V.M.

“…We solve the Cauchy problems for p-adic linear and semi-linear evolutionary pseudo-differential equations (the time-variable t ∈ R and the space-variable x ∈ Q…”
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Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks by Nilsson, B., Shelkovich, V.M.

“…For one-dimensional system of zero-pressure gas dynamics, we derive the balance laws describing mass, momentum and energy transport from the area outside the…”
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Harmonic Analysis in the p-Adic Lizorkin Spaces: Fractional Operators, Pseudo-Differential Equations, p-Adic Wavelets, Tauberian Theorems by Albeverio, S., Khrennikov, A. Yu, Shelkovich, V.M.

“…We developed the Harmonic Analysis in the p-Adic Lizorkin Spaces, in particular: Fractional Operators, Pseudo-Differential Equations, p-Adic Wavelets,…”
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δ - and δ ′-shocks and the transportation and concentration processes by Shelkovich, V.M.

“…Using the definitions of δ ‐ and δ ′‐shocks for some systems of conservation laws, the corresponding Rankine–Hugoniot conditions are derived. We also derive…”
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Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II by Nilsson, B., Rozanova, O.S., Shelkovich, V.M.

“…We study δ-shocks in a one-dimensional system of zero-pressure gas dynamics. In contrast to well-known papers (see References) this system is considered in the…”
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Asymptotical behavior of one class of p-adic singular Fourier integrals by Khrennikov, A.Yu, Shelkovich, V.M.

“…We study the asymptotical behavior of the p-adic singular Fourier integrals J π α , m ; φ ( t ) = 〈 f π α ; m ( x ) χ p ( x t ) , φ ( x ) 〉 = F [ f π α ; m φ ]…”
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Associated homogeneous p-adic distributions by Albeverio, S., Khrennikov, A.Y., Shelkovich, V.M.

“…We introduce a concept of associated homogeneous p-adic distributions (generalized functions) and provide a mathematical description of all associated…”
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Generalized solutions of nonlinear differential equation and the maslov algebras of distributions by Danilov, V.G., Shelkovich, V.M.

“…An associative commutative algebra including homogeneous and adjoint homogeneous distributions has been constructed. The products of distributions are…”
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Validity and naturalness of definitions of /spl delta/- and /spl delta/-shock type solutions to systems of conservation laws by Shelkovich, V.M.

“…Generalizing the classical definition of a weak L infin -solution definitions of delta- and delta'-shocks for systems of conservation laws were introduced and…”
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p-Adic Colombeau-Egorov type theory of generalized functions by Albeverio, S., Khrennikov, A. Yu, Shelkovich, V. M.

“…The p‐adic Colombeau‐Egorov algebra of generalized functions on ℚnp is constructed. For generalized functions the operations of multiplication,…”
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Delta-shocks, the Rankine-Hugoniot conditions, and singular superposition of distributions by Shelkovich, V.M.

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Definition of δ ′-shock waves type solution and the Rankine-Hugoniot conditions by Panov, E.Yu, Shelkovich, V.M.

“…The definition of a delta-shock wave type solution to hyperbolic systems of conservation laws is introduced. This solution is a new type of singular solutions…”
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