Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Igor Kukavica"'
Autor:
Igor Kukavica
Publikováno v:
Electronic Journal of Differential Equations, Vol 2000, Iss 61, Pp 1-15 (2000)
In this paper, we provide a sharp upper bound for the maximal order of vanishing for non-minimizing solutions of the Ginzburg-Landau equation $$ Delta u=-{1overepsilon^2}(1-|u|^2)u $$ which improves our previous result cite{Ku2}. An application of th
Externí odkaz:
https://doaj.org/article/86fb941c086d4b2dbe09535857f579e8
Autor:
Igor Kukavica, Fanhui Xu
Publikováno v:
Journal of Differential Equations. 359:183-210
Autor:
Igor Kukavica, Amjad Tuffaha
Publikováno v:
Journal of Evolution Equations. 23
We consider the local existence and uniqueness of solutions for a system consisting of an inviscid fluid with a free boundary, modeled by the Euler equations, in a domain enclosed by an elastic boundary, which evolves according to the wave equation.
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations. 10:160-189
We consider the stochastic Navier–Stokes equations in $${\mathbb T}^{3}$$ with multiplicative white noise. We construct a unique local strong solution with initial data in $$L^p$$ , where $$p>5$$ . We also address the global existence of the soluti
Autor:
David Massatt, Igor Kukavica
Publikováno v:
Journal of Dynamics and Differential Equations. 35:69-85
We address the global existence of solutions for the 2D Kuramoto-Sivashinsky equations in a periodic domain $$[0,L_1]\times [0,L_2]$$ with initial data satisfying $$\Vert u_0\Vert _{L^2}\le C^{-1}L_2^{-2}$$ , where C is a constant. We prove that the
Publikováno v:
Archive for Rational Mechanics and Analysis. 237:779-827
We address the inviscid limit for the Navier–Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and that has Sobolev regularity in the complement. We prove that for such data the solution
Publikováno v:
Transactions of the American Mathematical Society. 373:3375-3422
Autor:
Robert A Becker, Hari Bercovici, Animikh Biswas, Alexey Cheskidov, Peter Constantin, Alp Eden, Art Frazho, Michael Jolly, Igor Kukavica, Carl Pearcy, Ricardo M S Rosa, Jean-Claude Saut, Allen Tannenbaum, Roger Temam, Edriss Titi, Dan Voiculescu
Publikováno v:
Notices of the American Mathematical Society. 69:1
Autor:
Fanhui Xu, Igor Kukavica
Publikováno v:
Asymptotic Analysis. 113:1-27
Publikováno v:
Nonlinearity. 32:1905-1928