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Existence and Decay Estimates of Solution for a Fourth Order Quasi-Geostrophic Equation
This paper considers a single-layer fourth order quasi-geostrophic equation in two-dimensional case. We prove the existence and uniqueness of global...
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Quasi Solution of an Inverse Fractional Stochastic Nonlinear Partial Differential Equation of Parabolic Type
In this paper, the existence theorem for a quasi solution of an inverse fractional stochastic parabolic equation driven by multiplicative noise in...
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Application of the Local Discontinuous Galerkin Method to the Solution of the Quasi-Gas Dynamic System of Equations
AbstractThe solution of a quasi-gas dynamic (QGD) system of equations using the local discontinuous Galerkin method (LDG) is considered....
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Linear Quasi-Monotone and Hybrid Grid-Characteristic Schemes for the Numerical Solution of Linear Acoustic Problems1
AbstractThe system of linear acoustic equations is hyperbolic. It describes the process of acoustic wave propagation in deformable media. An...
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On the boundedness of the global solution of anisotropic quasi-geostrophic equations in Sobolev space
In this paper, we show that the global solution of the surface anisotropic two-dimensional quasi-geostrophic equation with fractional horizontal...
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Quasi-Solution Method and Global Minimization of the Residual Functional in Conditionally Well-Posed Inverse Problems
AbstractA class of conditionally well-posed problems characterized by a Hölder conditional stability estimate on a convex compact set in a Hilbert...
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Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system
Nonlinear evolution equations (NLEEs) are extensively used to establish the elementary propositions of natural circumstances. In this work, we study...
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Path connectedness of the efficient solution set for generalized vector quasi-equilibrium problems
In this paper, the efficient solution set for generalized vector quasi-equilibrium problems is investigated. By means of the linear scalarization...
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A Quasi Solution for a Nonlinear Inverse Stochastic Partial Differential Equation of Parabolic Type
This paper concerns a nonlinear inverse stochastic parabolic partial differential equation. The source term of this problem consists branches of...
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Existence of a unique global solution, and its decay at infinity, for the modified supercritical dissipative quasi-geostrophic equation
Our interest in this research is to prove the decay, as time tends to infinity, of a unique global solution for the supercritical case of the...
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Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain
In this work we establish two main results. The first one deals with the existence of regular equilibrium state as a positive ground state solution...
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“Fast” Solution of the Three-Dimensional Inverse Problem of Quasi-Static Elastography with the Help of the Small Parameter Method
AbstractWe consider direct and inverse problems of three-dimensional quasi-static elastography underlying a cancer diagnosis method. They are based...
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Quasi-Interpolant Operators and the Solution of Fractional Differential Problems
Nowadays, fractional differential equations are a well established tool to model phenomena from the real world. Since the analytical solution is...
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Painlevé–Kuratowski convergence of the solution sets for controlled systems of fuzzy vector quasi-optimization problems with application to controlling traffic networks under uncertainty
The purpose of this article is to establish some new results on the Painlevé–Kuratowski convergence of the solution sets for controlled systems of...
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Solution of the system of nonlinear PDEs characterizing CES property under quasi-homogeneity conditions
The constant elasticity of substitution (CES for short) is a basic property widely used in some areas of economics that involves a system of...
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Analysis of the Quasi-Transfer Approximation in Problems with Analytical Solution
AbstractThe quasi-transfer approximation reduces the numerical solution of the kinetic equation to solving the diffusion equation through introducing...
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Response solution to complex Ginzburg–Landau equation with quasi-periodic forcing of Liouvillean frequency
In this paper, the existence of a response solution with the Liouvillean frequency vector to the quasi-periodically forced complex Ginzburg–Landau...
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A Quasi-Variational-Hemivariational Inequality for Incompressible Navier-Stokes System with Bingham Fluid
In this paper we examine a class of elliptic quasi-variational inequalities, which involve a constraint set and a set-valued map. First, we establish...
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Darboux Transformation and Soliton Solutions for a Nonlocal Two-Component Complex Modified Korteweg–de Vries Equation
In this paper, a nonlocal two-component complex modified Korteweg–de Vries (mKdV) equation is investigated and its Darboux transformation is derived....
