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On Infinite-dimensional Lie Algebra of Navier–Stokes Equation and Conservation Laws
The primary focus of this article is to study (2+1)-dimensional Navier–Stokes equation for Lie point symmetries and local conservation laws. The...
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Sindhi POS Tagger Using LSTM and Pre-Trained Word Embeddings
The chapter shows the development of a part-of-speech (POS) tagger for Sindhi, which is a highly resource-poor language. For our study, we have used...
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On new methods to construct lower bounds in simplicial branch and bound based on interval arithmetic
Branch and Bound (B&B) algorithms in Global Optimization are used to perform an exhaustive search over the feasible area. One choice is to use...
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Fully polynomial time \((\Sigma ,\Pi )\)-approximation schemes for continuous nonlinear newsvendor and continuous stochastic dynamic programs
We study the nonlinear newsvendor problem concerning goods of a non-discrete nature, and a class of stochastic dynamic programs with several...
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Similarity solutions for imploding strong shock waves in a van der Waals gas
In the present paper, the study presents a self-similar solution for the system of partial differential equations (PDEs) governing one-dimensional...
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A Criterion for the Existence of Lp Boundary Values of Solutions to an Elliptic Equation
The paper is devoted to the study of the boundary behavior of solutions to a second-order elliptic equation. A criterion is established for the...
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Problem with shift on parallel characteristics for Gellerstedt equation with singular coefficient
We study correctness for a problemwith an analog of Frankl condition on a degeneration line segment and dislocation conditions on parallel...
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Continuous Dependence on Translations of the Independent Variable for Solutions of Boundary-Value Problems for Differential-Difference Equations
We consider boundary-value problems for differential-difference operators with perturbations in translations of the independent variable. We prove...
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An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences
In this paper, we broaden the utilization of a beautiful computational scheme, residual power series method (RPSM), to attain the fractional power...
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Mixed surface area measures
To each \((n-1)\) -tuple...
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On Boundary-Value Problems for Second-Order Elliptic and Parabolic Systems
For nonstandard boundary-value problems for systems of equations of elliptic and parabolic types with vector boundary conditions, the well-posedness...
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Small Gaps of GOE
In this article, we study the smallest gaps between eigenvalues of the Gaussian orthogonal ensemble (GOE). The main result is that the smallest gaps,...
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The Relative Contribution of Direct and Environmental Transmission Routes in Stochastic Avian Flu Epidemic Recurrence: An Approximate Analysis
We present an analysis of an avian flu model that yields insight into the roles of different transmission routes in the recurrence of avian influenza...
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Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem
Two Morley-Wang-Xu element methods with penalty for the fourth order elliptic singular perturbation problem are proposed in this paper, including the...
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A unified a posteriori error estimate of local discontinuous Galerkin approximations for reactive transport problems
To solve reactive transport problems in porous media, local discontinuous Galerkin (LDG) approximations are investigated. Based on the duality...
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The commutator width of some relatively free lie algebras and nilpotent groups
We determine the exact values of the commutator width of absolutely free and free solvable Lie rings of finite rank, as well as free and free...
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Boundary Value Problem for Stationary Stokes Equations with Impermeability Boundary Condition
We propose two approaches to the study of the boundary value problem for the stationary Stokes equations with impermeability boundary condition. The...
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On an inverse problem for a parabolic equation with the Cauchy data on a part of the lateral boundary of a cylinder
Under examination is the question on existence and uniqueness of solutions to some inverse problems for a parabolic equation. We look for a solution...