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Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations
global strong solutions one-dimensional compressible Navier-Stokes equations
2015/10/15
We consider Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial datum are smooth and the initial density is bounded by below by a posi...
Existence and uniqueness of an entropy solution for Burgers equation
existence d uniqueness theorems approximation
2010/9/13
This paper is concerned with the proof of the existence and uniqueness of an entropy solution for B urgers equation with additive source term (outside forces act on fluid particles). Some estimates ar...
Existence and uniqueness for optimal control of Oxygen absorption in aquatic system
Optimal control dissolve oxygen biological Oxygen demand water pollution
2008/12/26
In this paper, we consider the mathematical formulation and
analysis of an optimal control problem for a nonlinear Dissolve Oxy-
gen(DO)/ Biological Oxygen Demand(BOD) system with logistic growth
t...
Necessary and Sufficient Condition for Existence and Uniqueness of the Solution of Cauchy Problem for Holomorphic Fuchsian Operators
Banach algebra Cauchy problem Fuchsian characteristic polynomial Fuchsian differential operator Fuchsian principal weight holomorphic differentiable manifold
2008/6/30
In this paper a Cauchy problem for holomorphic differential operators of Fuchsian type is investigated. Using Ovcyannikov techniques and the method of majorants, a necessary and sufficient condition f...
On the Second Order Slip Reynolds Equation with Molecular Dynamics: Existence and Uniqueness
Reynolds equation Ky-Fan's Lemma Monotonicity techniques
2008/6/27
In this paper we obtained existence and uniqueness results for the modified second order slip Reynolds equation modeling the performance of the slider head floating over a rotating disk inside a hard...