Nonlinear parabolic equations with nonlinear functionals
Journal of Mathematical Analysis and Applications, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Yanping, Yin, Hong-Ming
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Nonlinear multidimensional parabolic-hyperbolic equations
Electronic Journal of Differential Equations, 2007 This paper deals with the coupling of a quasilinear parabolic problem with a first order hyperbolic one in a multidimensional bounded domain $Omega$. In a region $Omega_{p}$ a diffusion-advection-reaction type equation is set while in the complementary ...
loria Aguilar +2 more
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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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Doubly Nonlinear Parabolic Equation with Nonlinear Boundary Conditions
Journal of Mathematical Analysis and Applications, 2001 A necessary and sufficient condition for global existence of all positive classical solutions is given. The proof relies on the construction of suitable upper and lower solutions.
Wang, Shu, Deng, Jucheng, Shi, Jine
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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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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International Journal of Mathematics and Mathematical Sciences, 1989 The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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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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Smoothing for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions
Journal of Mathematical Analysis and Applications, 1997 The authors are concerned with smoothing effects for a class of nonlinear partial differential equations of parabolic type. They extend some known properties of the solution in the linear case, to their nonlinear case. Such properties are: \(u_t(\cdot, t)\to 0\) as \(t\to \infty\) in the \(L^2\)-norm, and \(u(\cdot,t)\) is bounded on \((0,\infty ...
Goldstein, Gisèle Ruiz +1 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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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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