Abstract We establish the optimal convergence rate of hypersonic similarity for two-dimensional steady potential flows with large data past a straight wedge in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi>B</mml:mi> <mml:mi>V</mml:mi> <mml:mo>∩</mml:mo> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:mrow> </mml:math> framework, provided that total variation multiplied by <mml:mi>γ</mml:mi> <mml:mo>−</mml:mo>...

Bacterial blight caused by Xanthomonas oryzae pv. (Xoo) is one of the most devastating diseases rice. However, molecular mechanism underpinning Xoo resistance rice still not fully understood. Here, we report that a class II small heat shock protein gene, OsHsp18.0, whose expression was differentially induced between resistant and susceptible variety in response to infection, plays positive roles both biotic abiotic resistance. The chaperone activity OsHsp18.0 confirmed bacterium-expressed...

We are concerned with the two-dimensional steady supersonic reacting Euler flow past Lipschitz bending walls that small perturbations of a convex one, and establish existence global entropy solutions when total variation both initial data slope boundary is sufficiently small. The governed by an ideal polytropic gas undergoes one-step exothermic chemical reaction under rate function Lipschtiz has positive lower bound. heat released may cause solution to increase along direction. employ...

We are concerned with the structural stability of conical shocks in three-dimensional steady supersonic flows past Lipschitz perturbed cones whose vertex angles less than critical angle. The under consideration governed by isothermal Euler equations for potential flow axisymmetry so that contain a singular geometric source term. first formulate shock problem as an initial-boundary value leading shock-front free boundary, and then establish existence asymptotic behavior global entropy...

Develop quickly and efficiently dynamic reactive power compensation devices used in underground coal mine on safety stable operation of distribution grid play a crucial role. As the nonlinear characteristics STATCOM, it can not be precisely controlled with commonly linear approximation method, therefore, this paper presents use negative sequence voltage feed-forward control feedback linearization to STATCOM devices.

We establish the optimal convergence rate of hypersonic similarity for two-dimensional steady potential flows with {\it large data} past over a straight wedge in $BV\cap L^1$ framework, provided that total variation data multiplied by $\gamma-1+\frac{a_{\infty}^2}{M_\infty^2}$ is uniformly bounded respect to adiabatic exponent $\gamma>1$, Mach number $M_\infty$ incoming flow, and parameter $a_\infty$. Our main approach this paper first Standard Riemann Semigroup initial-boundary value...

In this paper, we are concerned with the two-dimensional steady supersonic combustion flows a contact discontinuity moving through nozzle of finite length. Mathematically, it can be formulated as free boundary value problem governed by two -dimensional Euler equations boundary. The main mathematical difficulties that is characteristic and for all states coupled each other due to process. We first employ Lagrangian coordinate transformation fix Then introducing flow slope Bernoulli function,...

.This paper is devoted to the well-posedness theory of piston problem for compressible combustion Euler flows with physical ignition condition. A significant phenomenon called detonation will occur provided that reactant compressed and ignited by a leading shock. Mathematically, can be formulated as an initial-boundary value hyperbolic balance laws large shock front free boundary. In present paper, we establish global entropy solutions via wave tracking scheme within framework \(BV\cap L^1\)...

We are concerned with the two-dimensional steady supersonic reacting Euler flow past Lipschitz bending walls that small perturbations of a convex one, and establish existence global entropy solutions when total variation both initial data slope boundary is sufficiently small. The governed by an ideal polytropic gas undergoes one-step exothermic chemical reaction under rate function Lipschtiz has positive lower bound. heat released may cause solution to increase along direction. employ...

In this paper, we study the stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle varying cross-sections. We formulate problem as an initial-boundary value with free boundary. To deal boundary problem, employ Lagrangian transformation to straighten and then becomes fixed problem. develop iteration scheme establish some novel estimates solutions first order hyperbolic equations on cornered domain. Finally, by using inverse...

We establish the optimal convergence rate to hypersonic similarity law, which is also called Mach number independence principle, for steady compressible full Euler flows over two-dimensional slender Lipschitz wedges. The problem can be formulated as comparison of entropy solutions in $BV\cap L^{1}$ between two initial-boundary value problems equations with parameter $\tau>0$ and small-disturbance curved characteristic boundaries. $L^1$--convergence estimate these rate, justifies Van Dyke's...

In this paper, we establish the first rigorous mathematical global result on validation of hypersonic similarity, which is also called Mach-number independence principle, for two dimensional steady potential flow. The similarity equivalent to Van Dyke's theory, that if parameter $K$ fixed, shock solution structures (after scaling) are consistent, when Mach number flow sufficiently large. One difficulty after scaling, solutions usually large data since perturbation not small related sonic...

This paper is devoted to studying the low Mach number limit for quasi-one-dimensional isentropic Euler equations in $BV\\cap~L^1$ space. Under assumptions that total variation of cross section nozzleis sufficiently small and initial data away from vacuum, by using $L^1$-stability estimatesand method standard Riemann semigroup, we rigorouslyprove solution can be expandedin powers its coefficients satisfy a linear acoustic equation with source term.

We consider the stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle. This is first work on mixed-type problem across as free boundary nozzles. start with Euler-Lagrangian transformation to straighten new coordinates. However, upper nozzle wall subsonic region depending mass flux becomes after transformation. Then we develop ideas and techniques solve free-boundary three steps: (1) fix generate iteration scheme...