Zobrazeno 1 - 10
of 98
pro vyhledávání: '"35k85"'
Autor:
Dolbeault, Jean
Obtaining explicit stability estimates in classical functional inequalities like the Sobolev inequality has been an essentially open question for 30 years, after the celebrated but non-constructive result of G. Bianchi and H. Egnell in 1991. Recently
Externí odkaz:
http://arxiv.org/abs/2411.13271
We show the global existence of a weak solution for the Navier-Stokes equations for compressible fluids with slip boundary conditions of friction type.
Externí odkaz:
http://arxiv.org/abs/2305.00822
This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.
Externí odkaz:
http://arxiv.org/abs/2303.12926
In this paper we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show exponential stabilization to nonstationary trajectories. Based on a M
Externí odkaz:
http://arxiv.org/abs/2104.01413
Publikováno v:
Appl. Math. Optim. 78:1 (2018), 1-23
We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient. The convex subdifferential incorporates in our framework problems with unilater
Externí odkaz:
http://arxiv.org/abs/1807.05880
Publikováno v:
Comput. Math. Appl. 75:8 (2018), 3047-3065
We consider a periodic evolution inclusion defined on an evolution triple of spaces. The inclusion involves also a subdifferential term. We prove existence theorems for both the convex and the nonconvex problem, and we also produce extremal trajector
Externí odkaz:
http://arxiv.org/abs/1804.11148
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 1466-1495 (2022)
In this article, we consider nondiffusive variational problems with mixed boundary conditions and (distributional and weak) gradient constraints. The upper bound in the constraint is either a function or a Borel measure, leading to the state space be
Externí odkaz:
https://doaj.org/article/effc3c4bc76b42e69e49cf82958dc249
Autor:
Peszynska, Malgorzata, Trykozko, Anna, Iltis, Gabriel, Schlueter, Steffen, Wildenschild, Dorthe
Biofilm growth changes many physical properties of porous media such as porosity, permeability and mass transport parameters. The growth depends on various environmental conditions, and in particular, on flow rates. Modeling the evolution of such pro
Externí odkaz:
http://arxiv.org/abs/1510.01218
Publikováno v:
Eur. J. Appl. Math., 24(2):179-211, 2013
In this paper, we analytically investigate multi-component Cahn-Hilliard and Allen-Cahn systems which are coupled with elasticity and uni-directional damage processes. The free energy of the system is of the form $\int_\Omega\frac{1}{2}\mathbf\Gamma\
Externí odkaz:
http://arxiv.org/abs/1502.05848
Publikováno v:
Discrete and Continuous Dynamical Systems - Series A, Pages: 2565 - 2590, Issue 6, June 2015
In this paper, we consider a coupled PDE system describing phase separation and damage phenomena in elastically stressed alloys in the presence of inertial effects. The material is considered on a bounded Lipschitz domain with mixed boundary conditio
Externí odkaz:
http://arxiv.org/abs/1502.05861