Zobrazeno 1 - 5
of 5
pro vyhledávání: '"A. Yu. Goritsky"'
Publikováno v:
Sbornik: Mathematics. 212:475-489
A first-order quasilinear equation with an odd flux function that has a single point of inflexion at zero is studied. A method for constructing sign-alternating discontinuous entropy solutions of this equation, based on the Legendre transform, is pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffd0ed1e38ef4e56654b26915e3f9377
https://doi.org/10.1070/sm9383
https://doi.org/10.1070/sm9383
Autor:
A. Yu. Goritsky, L. V. Gargyants
Publikováno v:
Journal of Mathematical Sciences. 244:183-197
This article is aimed at studying the Cauchy problem for a first-order quasi-linear equation with a flow function of power type and unbounded initial data of power or exponential type. It is known that the Cauchy problem in the class of locally bound
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d35ef9f2e04c031f855eebba0131404c
https://doi.org/10.1007/s10958-019-04613-2
https://doi.org/10.1007/s10958-019-04613-2
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 37:2375-2393
We consider the 3D Navier-Stokes systems with randomly rapidly oscillating right-hand sides. Under the assumption that the random functions are ergodic and statistically homogeneous in space variables or in time variables we prove that the trajectory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1ce7ea597f00625b07b2fec434db6b2
https://doi.org/10.3934/dcds.2017103
https://doi.org/10.3934/dcds.2017103
Autor:
A. Yu. Goritsky
Publikováno v:
Journal of Mathematical Sciences. 143:3239-3252
A dissipative sine-Gordon-type equation in a bounded domain is considered. A simple explicit construction of finite-dimensional integral manifolds with exponential tracking is proposed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::277e374120c912261c4f72637b0eb516
https://doi.org/10.1007/s10958-007-0207-1
https://doi.org/10.1007/s10958-007-0207-1
Autor:
A. Yu. Goritsky, Vladimir V. Chepyzhov
Publikováno v:
Applicable Analysis. 71:237-252
A nonautonomous evolution equation in a Hilbert space is considered. A simple explicit construction of a finite-dimensional integral manifold with exponential tracking is proposed under the optimal spectral gap assumption. The dependence of the integ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7581e2f8b24762bdb5ec3e6ed77ae900
https://doi.org/10.1080/00036819908840715
https://doi.org/10.1080/00036819908840715