Titlebook: New Trends in the Applications of Differential Equations in Sciences; NTADES 2022, Sozopol Angela Slavova Conference proceedings 2023 The E

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New Trends in the Applications of Differential Equations in Sciences978-3-031-21484-4Series ISSN 2194-1009 Series E-ISSN 2194-1017

莊嚴(yán)

An Example for Application of the Simple Equations Method for the Case of Use of a Single Simple EquWe discuss the application of the methodology of the Simple Equations Method. Discussion is focused on an example where the methodology is applied on the basis of a single simple equation. We explain in detail each step of the methodology and discuss the obtained exact solutions of the solved nonlinear partial differential equation.

刺耳

On the Well-Posedness for The Complex Ginzburg–Landau Equation on the Product Manifold We prove both local and global well-posedness results for the solution to the complex Ginzburg–Landau equation with pure power mass-energy intercritical nonlinearity, posed on the product space ..

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Global Existence Result of?Solutions for?a?Riser Equation with?Logarithmic Source Term and?Damping TThis work deals with the influence of the logarithmic source term on solutions to quasilinear riser equation with nonlinear damping term. We established global results of solutions with negative initial energy.

Rejuvenate

Well Posedness of?Solutions for?a?Degenerate Viscoelastic Equation for?Kirchhoff-Type with?LogarithmThis paper deals with Kirchhoff-type equation with degenerate viscoelastic term and logarithmic nonlinearity. We established the global existence of solutions by using the potential well method.

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Angela SlavovaIncludes wide range of applications in fields like physics, biology, economics, and neuroscience.Provides solutions to industrial problems with a focus on real-world applications.Presents many compute

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劇本

Simple Equations Method (SEsM): Areas of Possible Applications areas of application of the methodology with respect to various properties of the solved equations. The point of interest here includes the kinds of nonlinearities. We present the result of the application of SEsM to differential equation with nonpolynomial nonlinearity.

LARK

Null Non-controllability for?Singular and?Degenerate Heat Equation with?Double Singular Potentialysical and mechanical models. Global existence of weak solutions, as well as null non-controllability in dependance on the parameter of the potential, are obtained. Hardy inequalities with double singular kernels at an interior point and on the boundary of the domain and with optimal constant are used in the proof of the main results.

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