This work has two parts. In the first part, stochastic partial differential equations for the one-dimensional telegraph equation and the two-dimensional linear transport equation are derived from basic principles. The telegraph equation and the linear
Bulut, Gul
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Exact noise influenced soliton solutions of a high-order stochastic nonlinear Schrödinger equation with weak nonlocal nonlinearity in a non-Kerr medium. [PDF]
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A stochastic partial differential equation with values in a manifold
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Analysis and simulation of a stochastic reaction-diffusion model for HBV infection under antiviral treatment. [PDF]
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STABILITY OF STOCHASTIC PARTIAL-DIFFERENTIAL EQUATION
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The Yamada-Watanabe Theorem for mild solutions to stochastic partial differential equations [PDF]
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Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems. [PDF]
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Data-driven, ML-assisted approaches to problem well-posedness. [PDF]
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A degenerate stochastic partial differential equation for superprocesses with singular interaction
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