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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...
In this paper we investigate a kind of generalized Ricci flow which possesses a gradient form. We study the monotonicity of the given function under the generalized Ricci flow and prove that the relat...
Abstract: In this paper we investigate a kind of generalized Ricci flow which possesses a gradient form. We study the monotonicity of the given function under the generalized Ricci flow and prove that...
Abstract: Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -\Delta_{...
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical resu...
We state that any constant curvature Riemannian metric with conical singularities of constant sign curvature on a compact (orientable) surface $S$ can be realized as a convex polyhedron in a Riemanni...
We prove an existence and uniqueness theorem for the solution of unilateral problems with $L^{1}$ data.
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...
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...
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...
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...
In this paper we have obtained a general existence as well as uniqueness theorem for slant immersions into a Kenmotsu-space form.

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