Evolutionary dynamics on a regular networked structured and unstructured multi‐population
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar +2 more
wiley +1 more source
On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations [PDF]
We are concerned with the question of well‐posedness of stochastic, three‐dimensional, incompressible Euler equations. In particular, we introduce a novel class of dissipative solutions and show that (i) existence; (ii) weak–strong uniqueness; (iii ...
Martina Hofmanov'a +2 more
semanticscholar +1 more source
Global Well Posedness for the Thermally Radiative Magnetohydrodynamic Equations in 3D
In this paper, we study the thermally radiative magnetohydrodynamic equations in 3D, which describe the dynamical behaviors of magnetized fluids that have nonignorable energy and momentum exchange with radiation under the nonlocal thermal equilibrium ...
Peng Jiang, Fei Yu
doaj +1 more source
Well-Posedness of Triequilibrium-Like Problems
This work emphasizes in presenting new class of equilibrium-like problems, termed as equilibrium-like problems with trifunction. We establish some metric characterizations for the well-posed triequilibrium-like problems.
Misbah Iram Bloach +2 more
doaj +1 more source
Variable depth KDV equations and generalizations to more nonlinear regimes [PDF]
We study here the water-waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced.
Alvarez-Samaniego +28 more
core +4 more sources
Local well-posedness for quasi-linear problems: A primer [PDF]
Proving local well-posedness for quasi-linear problems in partial differential equations presents a number of difficulties, some of which are universal and others of which are more problem specific.
M. Ifrim, D. Tataru
semanticscholar +1 more source
On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are ...
Lu-Chuan Ceng +5 more
doaj +1 more source
Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D [PDF]
This paper is concerned with the Cauchy problem of the $2$D Zakharov-Kuznetsov equation. We prove bilinear estimates which imply local in time well-posedness in the Sobolev space $H^s({\mathbb{R}}^2)$ for $s > -1/4$, and these are optimal up to the ...
S. Kinoshita
semanticscholar +1 more source
Global well-posedness of Kirchhoff systems [PDF]
The aim of this paper is to establish the $H^1$ global well-posedness for Kirchhoff systems. The new approach to the construction of solutions is based on the asymptotic integrations for strictly hyperbolic systems with time-dependent coefficients. These
Bernstein +24 more
core +2 more sources
Well-Posedness Results of Certain Variational Inequalities
Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and ...
Savin Treanţă
doaj +1 more source

