Search
Search Results
-
Uniqueness Problem for the Backward Differential Equation of a Continuous-State Branching Process
The distributional properties of a multi-dimensional continuous-state branching process are determined by its cumulant semigroup, which is defined by...
-
Equation of State for Liquid and Gaseous Nitrogen in Cryogenic Temperature Range
AbstractBased on the previously developed simplified method for constructing the equation of state for liquid and vapor phases, the thermodynamically...
-
Compressible fluids governed by a general equation of state
This chapter focuses on the Riemann problem for fluids with a general equation of state (EOS), covering both convex and nonconvex EOSs. We begin with...
-
Analysis of the Finite-State Ergodic Master Equation
Mean field games model equilibria in games with a continuum of players as limiting systems of symmetric n -player games with weak interaction between...
-
State-dependent Riccati equation feedback stabilization for nonlinear PDEs
The synthesis of suboptimal feedback laws for controlling nonlinear dynamics arising from semi-discretized PDEs is studied. An approach based on the...
-
Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity
In this paper, we establish the existence of a ground state solution for a weighted fourth-order equation of Shrödinger type under boundary Dirichlet...
-
Ground State Solution of Schrödinger–Poisson–Choquard Equation: Double Critical Case
In this paper, we study the existence of Nehari type and Pohožaev type ground state solutions for Schrödinger–Poisson–Choquard equation. The...
-
High-Order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-Type Equation of State
All the existing entropy stable (ES) schemes for relativistic hydrodynamics (RHD) in the literature were restricted to the ideal equation of state...
-
Ground state solutions for critical Choquard equation with singular potential: existence and regularity
In this paper, we show the regularity and existence of ground state solutions for critical Choquard equation with singular potential
... 
-
Ground state solution for a critical Schrodinger equation involving the p-Laplacian operator and potential term
In this article, our aim is to establish a generalized version of Berestycki–Lions theorem about the p-Laplacian operator. As an application of this...
-
A Posteriori Error Estimates for an Optimal Control Problem with a Bilinear State Equation
We propose and analyze a posteriori error estimators for an optimal control problem that involves an elliptic partial differential equation as state...
-
Catalan Numbers Recurrence as a Stationary State Equation of the Probabilistic Cellular Automaton
A construction of a finite probabilistic cellular automaton is presented and the respective evolution rule is defined for a restricted space of...
-
Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity
By using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402,
2016 ), we obtain an existence result of... -
Friedmann Equation
In this chapter we first derive in detail the Friedmann equation from Einstein’s equations applied to the entire universe. Then we point out various...