Global self-similar solutions of a class of nonlinear Schrödinger equations.
Global smooth solutions of the SPIN polarized transport equation.
Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative indices.
Global solution of viscous compressible barotropic multipolar gas in a finite channel with nonzero input and output
The paper contains the proof of global existence of weak solutions of the viscous compressible barotropic gas for the initial-boundary value problem in a finite channel.
Global solution to a generalized nonisothermal Ginzburg-Landau system
The article deals with a nonlinear generalized Ginzburg-Landau (Allen-Cahn) system of PDEs accounting for nonisothermal phase transition phenomena which was recently derived by A. Miranville and G. Schimperna: Nonisothermal phase separation based on a microforce balance, Discrete Contin. Dyn. Syst., Ser. B, 5 (2005), 753–768. The existence of solutions to a related Neumann-Robin problem is established in an -dimensional space setting. A fixed point procedure guarantees the existence of solutions...
Global solution to the ideal compressible heat conductive multipolar fluid
Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output
The paper contains the proof of global existence of weak solutions viscous compressible isothermal bipolar fluid of initial boundary value in a finite channel.
Global solutions of multidimensional approximate Navier-Stokes equations of a viscous gas.
Global solutions of nonlinear parabolic equations
Global solutions of the Cauchy problem for a viscous polytropic ideal gas
Global solutions of the relativistic Vlasov-Maxwell system of plasma physics [Book]
Global solutions, structure of initial data and the Navier-Stokes equations
In this note we present a proof of existence of global in time regular (unique) solutions to the Navier-Stokes equations in an arbitrary three dimensional domain with a general boundary condition. The only restriction is that the L₂-norm of the initial datum is required to be sufficiently small. The magnitude of the rest of the norm is not restricted. Our considerations show the essential role played by the energy bound in proving global in time results for the Navier-Stokes equations.
Global solutions to vortex density equations arising from sup-conductivity
Global solutions with infinite energy for the one-dimensional Zakharov system.
Global special regular solutions to the Navier-Stokes equations in axially symmetric domains under boundary slip conditions [Book]
Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries.
Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains
Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in
Global strong solutions of a 2-D new magnetohydrodynamic system
The main objective of this paper is to study the global strong solution of the parabolic-hyperbolic incompressible magnetohydrodynamic model in the two dimensional space. Based on Agmon, Douglis, and Nirenberg’s estimates for the stationary Stokes equation and Solonnikov’s theorem on --estimates for the evolution Stokes equation, it is shown that this coupled magnetohydrodynamic equations possesses a global strong solution. In addition, the uniqueness of the global strong solution is obtained.
Global strong solutions of Vlasov's equation---necessary and sufficient conditions for their existence