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On the Global Existence for a Class of Compressible Non-Newtonian Fluids with Inhomogeneous Boundary Data
AbstractThis paper is concerned to the study of global existence of weak solutions to a class of compressible non-Newtonian fluids in...
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Global existence and completeness of classical solutions in higher dimensional Einstein–Klein–Gordon system
In this paper we study the global existence and completeness of classical solutions of gravity coupled a scalar field system called...
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Almost Global Existence for Some Hamiltonian PDEs with Small Cauchy Data on General Tori
In this paper we prove a result of almost global existence for some abstract nonlinear PDEs on flat tori and apply it to some concrete equations,...
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On Magnetic Inhibition Theory in 3D Non-resistive Magnetohydrodynamic Fluids: Global Existence of Large Solutions
This paper is mainly concerned with the global existence and asymptotic behaviour of classical solutions to the three-dimensional (3D) incompressible...
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Global Existence and Long-Time Behavior in the 1 + 1-Dimensional Principal Chiral Model with Applications to Solitons
In this paper, we consider the 1 + 1-dimensional vector-valued principal chiral field model (PCF) obtained as a simplification of the vacuum Einstein...
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Global existence of classical static solutions of four dimensional Einstein–Klein–Gordon system
In this paper, we prove the global existence of classical static solutions of Einstein’s gravitational theory coupled to a real scalar field where...
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Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation
A model of vascular network formation is analyzed in a bounded domain, consisting of the compressible Navier–Stokes equations for the density of the...
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Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains
The combustion model is studied in three-dimensional (3D) smooth bounded domains with various types of boundary conditions. The global existence and...
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Hamiltonian Birkhoff Normal Form for Gravity-Capillary Water Waves with Constant Vorticity: Almost Global Existence
We prove an almost global existence result for space periodic solutions of the 1D gravity-capillary water waves equations with constant vorticity....
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Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid
This work is devoted to establish the global existence and uniqueness of strong solutions to the Cauchy problem for a one-dimensional compressible...
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Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise
We establish that global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier–Stokes system...
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Existence of Finite Global Norm of Potential Vector Field in a Ricci Soliton
In this paper, we present global norm of potential vector field in Ricci soliton. In particular, we deduce certain conditions so that the potential...
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Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field
In this paper, we study the global existence and large–time behavior of strong solutions to a two–phase flow model with magnetic field in three...
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On Blow-up and Global Existence of Weak Solutions to Cauchy Problem for Some Nonlinear Equation of the Pseudoparabolic Type
AbstractWe briefly present the results of the investigation of the Cauchy problem for a nonlinear pseudoparabolic equation that is a mathematical...
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The Existence and Uniqueness of Global Admissible Conservative Weak Solution for the Periodic Single-Cycle Pulse Equation
This paper is devoted to studying the existence and uniqueness of global admissible conservative weak solution for the periodic single-cycle pulse...
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Global Existence and Finite-Time Blow-Up for a Nonlinear Nonlocal Evolution Equation
We study the Cauchy problem for a nonlinear nonlocal evolution equation arising in the study of oceanic flows in equatorial regions. We present a...
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Global Existence and Blow-Up Phenomena for the Hunter-Saxton Equation on the Line
In this paper, we consider the Cauchy problem for the Hunter-Saxton (HS) equation on the line. Firstly, we establish the local well-posedness for the...
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Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model
We investigate global existence and optimal decay rates of a generic non-conservative compressible two–fluid model with general constant viscosities...
