Search Results - "Panov, E.Yu"

Two-scale convergence in [L.sup.2] by Panov, E.Yu

“…We propose a procedure of reducing the notions of weak and strong two-scale convergence to the notions of weak and strong convergence in the Hilbert space…”
Get full text

Solutions of An Ill-Posed Stefan Problem by Panov, E. Yu

“…We study the multi-phase Stefan problem with increasing Riemann initial data and generally negative latent specific heats for phase transitions. We propose a…”
Get full text

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…”
Get full text

On coincidence of [lambda]- and [mu]-holomorphic functions on the boundary of a domain and applications to elliptic boundary value problems by Nikolaev, V.G, Panov, E.Yu

“…We establish that [lambda]- and [mu]-holomorphic functions can coincide on the boundary of a domain only if the complex numbers [lambda] and [mu] lie in the…”
Get full text

On Variants of H-Measures and Compensated Compactness by Panov, E. Yu

“…We present a new variant of H -measures defined on spectra of general algebra of test symbols and derive the localization properties of such H -measures…”
Get full text

Stabilization Property of Periodic Generalized Entropy Solutions to Quasilinear First Order Equations by Panov, E. Yu

“…We show that, under the linear nondegeneracy condition, any generalized entropy solution, periodic in spatial variables, to the inhomogeneous quasilinear first…”
Get full text

On the strong pre-compactness property for entropy solutions of a degenerate elliptic equation with discontinuous flux by Panov, E.Yu

“…Under some non-degeneracy condition we show that sequences of entropy solutions of a semi-linear elliptic equation are strongly pre-compact in the general case…”
Get full text

Uniqueness of a generalized entropy solution to the Cauchy problem for a quasilinear conservation law with convex flux by Panov, E. Yu

“…For a one-dimensional conservation law with convex flux function we prove the uniqueness of a locally bounded generalized entropy solution to the Cauchy…”
Get full text

Renormalized entropy solutions to the Cauchy problem for first order quasilinear conservation laws in the class of periodic functions by Lysuho, P. V., Panov, E. Yu

“…We introduce the notion of a periodic in spatial variables renormalized entropy solution to the Cauchy problem for a first order quasilinear conservation law…”
Get full text

Renormalized entropy solutions to the Cauchy problem for a quasilinear first order equation by Lysuho, P. V., Panov, E. Yu

“…We introduce the notion of a renormalized entropy solution to the Cauchy problem for a quasilinear first order equation with an arbitrary measurable initial…”
Get full text

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…”
Get full text