ABSTRACT: In this paper, we consider the initial boudary value problem for modified Zakharov system in 3 dimensions with small initial condition. By using the continuity lemma and the linear ...
ABSTRACT: This paper is concerned with the initial-boundary value problem of scalar conservation laws with weak discontinuous flux, whose initial data are a function with two pieces of constant and ...
The general three-component nonlinear Schrödinger (gtc-NLS) equations are completely integrable and contain the self-focusing, defocusing and mixed cases, which are applied in many physical fields. In ...
A well-posed initial-boundary value problem is formulated for the model problem of the vector wave equation subject to the divergence-free constraint. Existence, uniqueness and stability of the ...
This project aims to solve Partial Differential Equations (PDEs) using neural networks. It is particularly focused on boundary value problems like the Dirichlet problem on geometric domains. The ...
Abstract: In this paper, we study the first initial-boundary value problem for a class of fully nonlinear parabolic equations on Riemannian manifolds. The main part of this paper is to derive the a ...
Drichlet conditions specify the values of the dependent variables of the boundary points. Neumann conditions specify the values of the normal gradients of the boundary. Robin conditions defines a ...
In this paper, we study the initial boundary value problem of the pseudo-parabolic equation with a conformable derivative. We focus on investigating the existence of the global solution and examining ...
Abstract: An initial-boundary value problem arising from a simple model for radical chain polymerization is discussed in detail. General properties of the solution are derived first and it is shown ...
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