SOLVABILITY OF p-LAPLACIAN PARABOLIC LOGISTIC EQUATIONS WITH CONSTRAINTS COUPLED WITH NAVIER-STOKES EQUATIONS IN 2D DOMAINS

作者：Muzuki Ylttaka^*

来源：Evolution Equations and Control Theory, 2014, 3(1): 191-206.

DOI：10.3934/eect.2014.3.191

• Nonlinear heat equations
• p-Laplacian
• time-dependent constraints
• 2D Navier-Stokes equations
• subdifferential operators

This paper is concerned with the system of nonlinear heat quations with constraints coupled with Navier-Stokes equations in two-dimensional domains. In 2012, Sobajima, Tsuzuki and Yokota proved the existence and uniqueness of solutions to the system with heat equations including the diffusion term Delta theta, where theta represents the temperature. This paper gives the existence result in which the Laplace operator Delta, is replaced with the p-Laplace operator Delta(p), where p %26gt; 2.

• 出版日期2014-3