Search
Search Results
-
On the solvability of one boundary value problem for one class of higher-order semilinear hyperbolic systems
In this paper, we consider the boundary value problem for one class of higher-order semilinear hyperbolic systems. We prove the theorems on the...
-
Low regularity integrators for semilinear parabolic equations with maximum bound principles
This paper is concerned with conditionally structure-preserving, low regularity time integration methods for a class of semilinear parabolic...
-
On a quasilinear parabolic–hyperbolic system arising in MEMS modeling
A coupled system consisting of a quasilinear parabolic equation and a semilinear hyperbolic equation is considered. The problem arises as a small...
-
Statistical analysis of discretely sampled semilinear SPDEs: a power variation approach
Motivated by problems from statistical analysis for discretely sampled SPDEs, first we derive central limit theorems for higher order finite...
-
An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile–immobile equation
In this paper, an alternating direction implicit (ADI) compact difference scheme will be proposed for solving semilinear time-fractional...
-
-
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation
Optimal quadratic spline collocation (QSC) method has been widely used in various problems due to its high-order accuracy, while the corresponding...
-
The Galerkin Analysis for the Random Periodic Solution of Semilinear Stochastic Evolution Equations
In this paper, we study the numerical method for approximating the random periodic solution of semilinear stochastic evolution equations. The main...
-
Lifespan estimates for semilinear wave equations with space dependent dam** and potential
In this work, we investigate the influence of general dam** and potential terms on the blow-up and lifespan estimates for energy solutions to...
-
Bubbling solutions of fourth order mean field equations on \(\mathbb{S}^{4}\)
In this paper, we first establish the existence of blow-up solutions with two antipodal points to the fourth order mean field equations on
... -
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier–Stokes models
This paper deals with the Hessian discretisation method (HDM) for fourth-order semi-linear elliptic equations with a trilinear non-linearity. The HDM...
-
Periodic Solutions for a Class of Semilinear Euler–Bernoulli Beam Equations with Variable Coefficients
This paper is devoted to the study of periodic solutions for a class of semilinear Euler–Bernoulli beam equations with variable coefficients. Such a...
-
Symplectic Approximations for Efficiently Solving Semilinear KG Equations
Among typical geometric integrators are multi-symplectic approximations to nonlinear Hamiltonian PDEs. However, it is also an important aspect to...
-
Soliton Resolution for the Radial Quadratic Wave Equation in Space Dimension 6
We consider the quadratic semilinear wave equation in six dimensions. This energy critical problem admits a ground state solution, which is the...
-
Asymptotic Properties for a Semilinear Edge-Degenerate Parabolic Equation
The author deals with a semi-linear edge-degenerate parabolic equation, and proves that the solution increases exponentially under the initial energy J (...
-
Equivalence between the internal observability and exponential decay for the Moore-Gibson-Thompson equation
This paper is concerned with a third order in time linear Moore-Gibson-Thompson equation which describes the acoustic velocity potential in...