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 ...

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 ...

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: 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 ...

In the half ray the unique solution to the boundary value problem L(Dt)u(t) = f(t), t > 0 Bj(Dt)u(0) = αj, for j = 0, 1,...,p - 1 rapidly decreasing at infinity is shown to be explicitly represented ...

The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the ...