Results 61 to 70 of about 18,044,700 (176)
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, Volume 79, Issue 12, Page 2435-2490, December 2026.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Well-posedness in vector optimization and scalarization results [PDF]
In this paper, we give a survey on well-posedness notions of Tykhonov's type for vector optimization problems and the links between them with respect to the classification proposed by Miglierina, Molho and Rocca in [33].
Rocca Matteo, Papalia Melania
core
Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator [PDF]
, 2014 Thanks to an approach inspired from Burq-Lebeau \cite{bule}, we prove stochastic versions of Strichartz estimates for Schrödinger with harmonic potential.
Thomann, Laurent +2 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
wiley +1 more source
Global solutions in lower order Sobolev spaces for the generalized Boussinesq equation
Electronic Journal of Differential Equations, 2012 We show that the Cauchy problem for the defocusing generalized Boussinesq equation $$ u_{tt}-u_{xx}+u_{xxxx}-(|u|^{2k}u)_{xx}=0, quad kgeq 1, $$ on the real line is globally well-posed in $H^s(mathbb{R})$ with s>1-(1/(3k)). To do this, we use the I-
Luiz G. Farah, Hongwei Wang
doaj
Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System
Abstract and Applied Analysis, 2013 Masmoudi (2010) obtained global well-posedness for 2D Maxwell-Navier-Stokes system. In this paper, we reprove global existence of regular solutions to the 2D system by using energy estimates and Brezis-Gallouet inequality.
Ensil Kang, Jihoon Lee
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We present a numerical study of a weakly symmetric dual‐mixed finite element method for the Stokes source problem, in which the Cauchy stress is the primary unknown and its symmetry is imposed weakly through a vorticity Lagrange multiplier. Viewing the scheme as the incompressible limit of the reduced‐symmetry mixed elasticity framework, we ...
Fleurianne Bertrand, Tugay Dağlı
wiley +1 more source
Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]
In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
core
Hidden monotonicity and canonical transformations for mean field games and master equations
Forum of Mathematics, SigmaIn this paper we unveil novel monotonicity conditions applicable to Mean Field Games through the exploration of finite dimensional canonical transformations.
Mohit Bansil, Alpár R. Mészáros
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Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley +1 more source