Zobrazeno 1 - 10
of 42
pro vyhledávání: '"35M31"'
Autor:
Tzavaras, Athanasios E.
We construct examples of oscillating solutions with persistent oscillations for various hyperbolic-parabolic systems with singular diffusion matrices that appear in mechanics. These include, an example for the equations of nonlinear viscoelasticity o
Externí odkaz:
http://arxiv.org/abs/2404.18457
Autor:
Cobb, Dimitri, Lacour, Geoffrey
In this article, we study a non-Newtonian Stokes-Transport system. This set of PDEs was introduced as a model for describing the behavior of a cloud of particles in suspension in a Stokes fluid, and is a nonlinear coupling between a hyperbolic equati
Externí odkaz:
http://arxiv.org/abs/2401.02599
While much literature on chemotaxis systems focuses on bounded domains, this paper emphasizes the global existence of classical solutions for three primary chemotaxis systems with a logistic source on $\mathbb{R}^n$. We present a unified proof demons
Externí odkaz:
http://arxiv.org/abs/2310.16001
Autor:
Maheux, Patrick
In this paper, we obtain upper bounds for the critical time $T^*$ of the blow-up for the parabolic-elliptic Patlak-Keller-Segel system on the 2D-Euclidean space. No moment condition or/and entropy condition are required on the initial data; only the
Externí odkaz:
http://arxiv.org/abs/2306.07076
Autor:
Duchêne, Vincent, Iguchi, Tatsuo
Publikováno v:
Proc. Roy. Soc. Edinburgh Sect. A, 2024
We consider the Kakinuma model for the motion of interfacial gravity waves. The Kakinuma model is a system of Euler-Lagrange equations for an approximate Lagrangian, which is obtained by approximating the velocity potentials in the Lagrangian of the
Externí odkaz:
http://arxiv.org/abs/2212.07117
Autor:
Alfred S. Carasso
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
ABSTRACTAn artificial example of a coupled system of three nonlinear partial differential equations generalizing 2D thermoelastic vibrations, is used to demonstrate the effectiveness, as well as the limitations, of a non iterative direct procedure in
Externí odkaz:
https://doaj.org/article/35059d070dcb42df883363d35aa92870
Autor:
Duchêne, Vincent, Iguchi, Tatsuo
Publikováno v:
Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 41, (2024), no. 2, pp. 257-315
We consider a model, which we named the Kakinuma model, for interfacial gravity waves. As is well-known, the full model for interfacial gravity waves has a variational structure whose Lagrangian is an extension of Luke's Lagrangian for surface gravit
Externí odkaz:
http://arxiv.org/abs/2103.12392
Autor:
Li, Shengxin, Xie, Feng
In this paper we are concerned with the global well-posedness of solutions to magnetohydrodynamics (MHD) boundary layer equations in analytic function spaces. When the initial data is a small perturbation around a selected profile, and such a profile
Externí odkaz:
http://arxiv.org/abs/2103.08798
Autor:
Remond-Tiedrez, Antoine, Tice, Ian
Publikováno v:
Analysis & PDE 17 (2024) 41-132
We study a three-dimensional, incompressible, viscous, micropolar fluid with anisotropic microstructure on a periodic domain. Subject to a uniform microtorque, this system admits a unique nontrivial equilibrium. We prove that when the microstructure
Externí odkaz:
http://arxiv.org/abs/2007.13795
Autor:
Druet, Pierre-Etienne, Jüngel, Ansgar
The convective transport in a multicomponent isothermal compressible fluid subject to the mass continuity equations is considered. The velocity is proportional to the negative pressure gradient, according to Darcy's law, and the pressure is defined b
Externí odkaz:
http://arxiv.org/abs/1911.10160