Results 51 to 60 of about 3,753 (167)
Modeling Heavy Metal Sorption and Interaction in a Multispecies Biofilm
Mathematics, 2019 A mathematical model able to simulate the physical, chemical and biological interactions prevailing in multispecies biofilms in the presence of a toxic heavy metal is presented.
Berardino D’Acunto +3 more
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Superdiffusions and Parabolic Nonlinear Differential Equations
The Annals of Probability, 1992 The model under consideration is a \(d\)-dimensional superdiffusion \(X\) with parameters \((L,\alpha)\); that is, \(X\) is related to the parabolic differential equation \((\partial/\partial r)\nu+L\nu-|\nu|^ \alpha=-\rho\).
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A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application
Electronic Journal of Differential Equations, 2010 In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
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Existence results for a class of nonlinear parabolic equations in Orlicz spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2010 An existence result of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities.
Hicham Redwane
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Numerical solving of coupled systems of parabolic and ordinary differential equations
Nonlinear Analysis, 2010 Two coupled systems of parabolic and nonlinear ordinary differential equations arising in kinetics of heterogeneous reactions are studied numerically by using computer calculations. Some numerical results are discussed.
V. Skakauskas, P. Katauskis
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A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]
Opuscula Mathematica, 2007 This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions.
Marian Malec, Lucjan Sapa
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Parabolic equations with discontinuous nonlinearities [PDF]
Bulletin of the Australian Mathematical Society, 2001 In this paper we deal with the homogeneous Cauchy-Dirichlet problem for a class of parabolic equations with either Carathéodory or discontinuous nonlinear terms. We then present an application and explicitly point out an existence result for a differential inclusion, which can be applied to the classical Stefan problem.
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Electronic Journal of Differential Equations, 2000 solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
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Multivariable Linear Algebraic Discretization of Nonlinear Parabolic Equations for Computational Analysis. [PDF]
Comput Intell Neurosci, 2022 Zuo L, Mei F.
europepmc +1 more source
Estimates for nonlinear parabolic equations.
, 1999 Summary: We study smooth non-negative solutions of the equation \(u_t=\partial_j a_j(u,\nabla u)+a_0(u,\Delta u)\) in the strip \(S_T= \mathbb{R}^d\times (0,T)\), \(d\geq 1\). A regularizing effect, pointwise estimates and gradient estimates are obtained.
Fabricant, A., Marinov, M., Rangelov, T.
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