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On a nonlinear flux--limited equation arising in the transport of morphogens
Flux limited nonlinear parabolic equations entropy solutions optimal mass transportation transport of morphogens
2011/9/22
Abstract: Motivated by a mathematical model for the transport of morphogenes in biological systems, we study existence and uniqueness of entropy solutions for a mixed initial-boundary value problem as...
Transport equations with fractal noise - existence, uniqueness and regularity of the solution
Stochastic partial differential equations Transport equation Nonsmooth coefficients Fractional Brownian noise
2011/9/15
Abstract: The main result of the present paper is a statement on existence, uniqueness and regularity for mild solutions to a parabolic transport diffusion type equation that involves a non-smooth coe...