A5044497477- Advanced Mathematical Modeling in Engineering
- Stability and Controllability of Differential Equations
- Numerical methods in inverse problems
- Nonlinear Partial Differential Equations
- Advanced Mathematical Physics Problems
- Differential Equations and Numerical Methods
- Differential Equations and Boundary Problems
- Nonlinear Differential Equations Analysis
- Mathematical and Theoretical Epidemiology and Ecology Models
- Mathematical Biology Tumor Growth
- Stochastic processes and financial applications
- Spectral Theory in Mathematical Physics
- Gas Dynamics and Kinetic Theory
- Advanced Numerical Methods in Computational Mathematics
- Fractional Differential Equations Solutions
- Numerical methods for differential equations
- Composite Material Mechanics
- Capital Investment and Risk Analysis
- Navier-Stokes equation solutions
- Credit Risk and Financial Regulations
- Evolution and Genetic Dynamics
- Physics of Superconductivity and Magnetism
- Nanopore and Nanochannel Transport Studies
- Economic theories and models
- Probability and Risk Models
Washington State University
2012-2024
Dalian Institute of Chemical Physics
2001-2009
Chengdu University of Technology
2007
Nankai University
2006
Western University
2006
Queensland University of Technology
2006
The University of Queensland
2006
University of Notre Dame
1994-2001
Chinese Academy of Sciences
2001
John Brown University
2001
Niobium pentoxide reacts actively with concentrate NaOH solution under hydrothermal conditions at as low 120 °C. The reaction ruptures the corner-sharing of NbO7 decahedra and NbO6 octahedra in reactant Nb2O5, yielding various niobates, structure composition niobates depend on temperature time. morphological evolution solid products 180 °C is monitored via SEM: fine Nb2O5 powder aggregates first to irregular bars, then niobate fibers an aspect ratio hundreds form. are microporous molecular...
This paper studies the blowup profile near time for heat equation <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="u Subscript t Baseline equals normal upper Delta u"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>u</mml:mi> <mml:mi>t</mml:mi> </mml:msub> </mml:mrow> <mml:mo>=</mml:mo> <mml:mi mathvariant="normal">Δ<!-- Δ --></mml:mi> <mml:annotation encoding="application/x-tex">{u_t} = \Delta...
Abstract In this article we transform a large class of parabolic inverse problems into nonclassical equation whose coefficients consist trace type functionals the solution and its derivatives subject to some initial boundary conditions. For problem, introduce variational form by defining new function. Both continuous discrete Galerkin procedures are illustrated in paper. The error estimates also derived.
In some chemical reaction–diffusion processes, the reaction takes place only at local sites, due to presence of a catalyst. this paper we study well-posedness model problem type. Sufficient conditions are found ensure global existence and finite time blowup. The blowup rate set also investigated in case special nonlinearity.
In this paper we study finite difference procedures for a class of parabolic equations with non‐local boundary condition. The semi‐implicit and fully implicit backward Euler schemes are studied. It is proved that both preserve the maximum principle monotonicity solution original equation, fully‐implicit scheme also possesses strict monotonicity. solutions approach to zero as t → ∞ exponentially. numerical results some examples presented, which support our theoretical justifications.
In this paper we study a corporate bond-pricing model with credit rating migration and stochastic interest rate. The volatility of bond price in the strongly depends on potential change This new improves previous existing models which rate is considered to be constant. existence, uniqueness regularity solution for are established. Moreover, some properties including smoothness free boundary obtained. Furthermore, numerical computations presented illustrate theoretical results.
In this paper, we consider a new corporate bond-pricing model with credit-rating migration risks and stochastic interest rate. the model, criterion for rating change is based on predetermined ratio of corporation’s total asset debt. Moreover, changes are allowed to happen finite number times during life-span bond. The volatility bond price may have jump when credit changed. also assumed depend This improves previous existing models in which only occur once an interest-dependent or...
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 31 March 2021Accepted: 07 September 2021Published online: 02 December 2021Keywordsreaction-diffusion-advection systems, nonsmooth diffusion coefficients, mass control, global existence, $L^p$-energy methodsAMS Subject Headings35A01, 35K57, 35K58, 35Q92Publication DataISSN (print): 0036-1410ISSN (online): 1095-7154Publisher: Society for Industrial and Applied...
In this paper we study the Cauchy problem for a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p"> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding="application/x-tex">p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-Laplacian type of evolution system alttext="upper H Subscript t Baseline plus nabla times left-bracket StartAbsoluteValue upper EndAbsoluteValue Superscript p minus 2 right-bracket equals...
The authors consider a class of nonclassical parabolic equations in which some nonlinear trace type functionals are involved. motivation for their investigation arises from the determination unknown functions equations. They employ Schauder fixed point theorem to prove existence solutions. also study regularity property Moreover, continuous dependence upon known data as well uniqueness solution is established.
In this paper we consider a system of heat equations ut = Δu, vt Δv in an unbounded domain Ω⊂ℝN coupled through the Neumann boundary conditions uv vp, vv uq, where p>0, q>0, pq>1 and ν is exterior unit normal on ∂Ω. It shown that for several types there exists critical exponent such all positive solutions blow up finite time subcritical case (including case) while exist global supercritical if initial data are small.
This paper deals with Maxwell's equations coupled a nonlinear heat equation. The system models an induction heating process for conductive material in which the electrical conductivity strongly depends on temperature. It is shown that evolution has global weak solution if bounded. For case of one space dimension, existence classical established. Moreover, quasi-stationary state field it proved temperature will blow up finite time electric satisfies certain growth conditions.
Abstract In this paper we consider the inverse problems of identifying some space‐dependent unknown coefficients in parabolic equations subject to initial boundary value conditions along with an overspecified condition at final time t = T . We use information transform into non‐linear involving a functional solution respect variable. This transformation allows us establish existence theorems for these by employing Schauder fixed‐point theorem.
In this paper we study the motion of a magnetic field H in conductive medium Ω⊂R 3 under influence system generator. By neglecting displacement currents, satisfies nonlinear Maxwell's system: t +∇×[ρ(x,t)∇×H]=f(|H|)H, where f(|H|)H represents currents depending upon strength H. We prove that appropriate initial and boundary conditions, has global solution is also unique. Moreover, show will blow up finite time if f(s) certain growth conditions. Finally, generalize results to problem...
Abstract This paper deals with Maxwell's equations a thermal effect, where the electric conductivity strongly depends on temperature. It is shown that coupled system has global weak solution and temperature Hölder continuous if decays suitably as increases. Moreover, uniqueness of proved, which gives positive answer for open question from previous research. The main idea existence based deriving various energy estimates system. Copyright © 2006 John Wiley & Sons, Ltd.
In this paper some parabolic integrodifferential equations in n-space dimensions are studied. For the solution of such a linear equation, classical Schauder and $L_p (Q_T )$ estimates derived. As direct corollary, continuous dependence uniqueness for full nonlinear equation obtained. Then global solvability class quasilinear is considered. Using method energy integral iteration technique along with results equations, an priori estimate space $C^{2 + \alpha ,1 \frac{\alpha }{2}} (\bar Q_T...