Keywords: 26A33; 34K37; 34K40; 34K45; 35R60; 45J05; 46C15; 60H15; 60H20; Analytic semigroup; Banach fixed point theorem; Caputo derivative; Faedo-Galerkin approximation; Stochastic differential equation;
مقالات ISI (ترجمه نشده)
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Keywords: 65M08; 65M15; 65J15; 76L05; 35L65; 35R60; Reduced order modeling; Nonlinear hyperbolic problems; UQ; Empirical interpolation method; POD-Greedy; Residual distribution;
Keywords: 60H15; 35R60; Stochastic Burgers equations; Poisson random measures; Exponential stability; Second moment stability;
Keywords: 35R60; 47B80; 60H35; 65C20; 65N12; 65N22; 65J10; Partial differential equations with random coefficients; Risk averse optimization; Phase field; Topology optimization; Conditional value at risk; Uncertainty quantification;
Keywords: primary; 60H15; secondary; 35R60; Stochastic partial differential equations; Random travelling fronts;
Keywords: 35R30; 35R60; 53C22; Passive imaging; Inverse problems; Wave equation; Riemannian manifold;
Keywords: 35R60; 49K20; 60G15; 60H15; 76D55; Stochastic second grade fluids; Backward stochastic partial differential equations; Stochastic optimal control; Necessary optimality condition;
Keywords: primary; 35R60; 93E20; Risk-sensitive control; Multiplicative Poisson equation; Controlled diffusions; Nonlinear eigenvalue problems; Hamilton-Jacobi-Bellman equation; Monotonicity of principal eigenvalue;
Quasilinear parabolic stochastic partial differential equations: Existence, uniqueness
Keywords: 60H15; 60F10; 35R60; Quasilinear stochastic partial differential equations; Strong solutions; Energy inequality;
Keywords: 35B27; 35R60; 35F21; 60K35; 35D40; Stochastic homogenization; Hamilton-Jacobi equations; Viscosity solutions;
Stochastic partial differential equations with singular terminal condition
Keywords: 35R60; 35K67; 60H15; 60H30; Backward doubly stochastic differential equations; Stochastic partial differential equations; Monotone condition; Singular terminal data;
Keywords: approximate controllability; cosine family; state dependent delay; neutral stochastic differential equation; measure of noncompactness35R15; 35R60; 93B05; 93E03
Keywords: 60H15; 35R60; 93E20Backward stochastic differential equation; Quadratic BSDE; BMO martingale; John–Nirenberg inequality; The reverse Hölder inequality
Keywords: H6015; 35R60; 35L65Stochastic scalar conservation laws; Rough paths; Random dynamical systems; Stability; Kružkov entropy solutions
Keywords: 35B65; 60H15; 35R60; 45D05; 34A08Volterra equation; Stochastic partial differential equation; Fractional differential equation; Wiener process; Gaussian noise; Multiplicative noise
Keywords: 35B27; 35J15; 35R60; 82D30Homogenization; Random media; Clausius–Mossotti formula; Bernoulli perturbation
Keywords: 60H15; 35A08; 35R60; Stochastic higher order modified Camassa-Holm equation; Bourgain spaces; Well-posedness;
Keywords: 35R60; 47B80; 60H35; 65C20; 65N12; 65N22; 65J10; 65Y20; Partial differential equations with random coefficients; Parabolic differential equations; Uncertainty quantification; Stochastic finite element methods; Adaptive methods; Wavelets;
Keywords: 35R60; 35K57; 60H15; 65L06Stochastic differential equations; Prebiotic evolution; RNA-like molecules; Milstein method
Keywords: primary; 60H15; secondary; 35R60; Forward-backward stochastic partial differential equations; The method of contraction mapping; The method of continuation;
Keywords: 60G44; 60H05; 60H15; 60H20; 35R60; 35M13Stochastic integration; Degenerate evolution equations; Ito formula
Keywords: 35R60; 37L55; 37D10; 37L25; 37H05Invariant foliation; Slow manifold; Slow–fast stochastic evolutionary system; Geometric structure
Keywords: 47D07; 60H15; 35R60; Singular stochastic evolution equation; Logarithmic diffusion; p-Laplacian equation; Ergodic semigroup;
Keywords: 60H15; 35R60; 47D06Stochastic partial differential equation; Adapted drift; Non-autonomous equations; Pathwise mild solution; Forward integral; Space–time regularity
A regularity theory for quasi-linear Stochastic PDEs in weighted Sobolev spaces
Keywords: 60H15; 35R60; Nonlinear stochastic partial differential equations; Equations of divergence type; Weighted Sobolev space;
Intermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noises
Keywords: primary; 60H15; 60H25; secondary; 35R60; 60K37; Stochastic partial differential equation; Inhomogeneous noise; Lyapunov exponent; Intermittency; Noise excitation;
On the stochastic Cahn-Hilliard equation with a singular double-well potential
Keywords: 35K25; 35R60; 60H15; 80A22; Stochastic Cahn-Hilliard equation; Singular potential; Well-posedness; Regularity; Variational approach;
Degenerate SDEs with singular drift and applications to Heisenberg groups
Keywords: 60H15; 35R60; Degenerate SDEs; Krylov estimate; Zvonkin transformation; Heisenberg group;
Convergence of the solution of the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes equations
Keywords: 35R60; 35Q35; 60H15; 76M35; 86A05; Cahn-Hilliard-Navier-Stokes; Globally modified; Stochastic; Galerkin scheme;
Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equation
Keywords: 35R60; 60H15; 60H40; KPZ equation; Paracontrolled calculus; Invariant measure; Cole-Hopf solution;
Long time stability of nonlocal stochastic Kuramoto-Sivashinsky equations with jump noises
Keywords: 60H15; 35R60; Nonlocal Kuramoto-Sivashinsky equations; Poisson random measures; Exponential stability; Second moment stability;
The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories
Keywords: Parameterizing manifolds; Slow manifolds; Slow conditional expectations; Emergence of fast oscillations; Balance equations; 34F05; 35R60; 37L05; 37L55; 37L65; 60H15;
On the existence and uniqueness of solution to a stochastic 2D Cahn-Hilliard-Navier-Stokes model
Keywords: 35R60; 35Q35; 60H15; 76M35; 86A05; Stochastic Cahn-Hilliard; Navier-Stokes; Variational solutions; Weak solutions;
A Hölder estimate for non-uniform elliptic equations in a random medium
Keywords: 35J15; 35J25; 35J70; 35R05; 35R60; Random media; Conductivity; Stationary-ergodic; Realization; Diffeomorphism;
Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise
Keywords: 60H15; 35K90; 35R60; Stochastic partial differential equations; Multiplicative Lévy noise; Space-time variational problems on tensor product spaces; Projective and injective tensor product space;
Infinite dimensional weak Dirichlet processes and convolution type processes
Keywords: 60H05; 60H15; 60H30; 35R60; Covariation and quadratic variation; Calculus via regularization; Infinite dimensional analysis; Tensor analysis; Dirichlet processes; Generalized Fukushima decomposition; Convolution type processes; Stochastic partial differen
Travelling wave solutions to the KPP equation with branching noise arising from initial conditions with compact support
Keywords: primary; 60H15; secondary; 35R60; Stochastic PDE; KPP equation; White noise; Travelling wave; Initial conditions with compact support; Recurrence;
Well-posedness of semilinear stochastic wave equations with Hölder continuous coefficients
Keywords: primary; 60H15; secondary; 35R60; Nonlinear stochastic wave equation; Hölder continuous drift; Strong uniqueness;
Well-posedness for a class of doubly nonlinear stochastic PDEs of divergence type
Keywords: 60H15; 35R60; 35K55; 35D30; 47H05; 46N30; Doubly nonlinear stochastic equation; Divergence; Variational approach; Existence of solutions; Continuous dependence; Multiplicative noise;
Stochastic non-isotropic degenerate parabolic-hyperbolic equations
Keywords: H6015; 35R60; 35L65; Stochastic scalar conservation laws; Parabolic-hyperbolic equations; Averaging lemma; Invariant measure; Random dynamical systems; Random attractor;
L-Kuramoto-Sivashinsky SPDEs vs. time-fractional SPIDEs: Exact continuity and gradient moduli, 1/2-derivative criticality, and laws
Keywords: 60H15; 60H20; 60H30; 45H05; 45R05; 35R60; 60J45; 60J35; 60J60; 60J65; Time-fractional stochastic partial-integral equations (SPIDEs); L-Kuramoto-Sivashinsky SPDEs; Brownian-time processes; Gaussian random fields; Kernel stochastic integral equations;
Grade-two fluids on non-smooth domain driven by multiplicative noise: Existence, uniqueness and regularity
Keywords: 60H15; 60H30; 35R60; Grade two fluids; Lagrangian averaged Euler equations; Martingale solution; Space and time regularity; Time discretization; Stochastic transport equations;
Homogenization of nonlinear Dirichlet problems in random perforated domains
Keywords: 35R60; 35B27Homogenization; Monotone operators; Random perforated domains; Dirichlet conditions
Low-rank solvers for unsteady Stokes–Brinkman optimal control problem with random data
Keywords: 35R60; 60H15; 60H35; 65N22; 65F10Stochastic Galerkin system; PDE-constrained optimization; Low-rank solution; Tensor methods; Preconditioning; Schur complement
The Stampacchia maximum principle for stochastic partial differential equations and applications
Keywords: 35R60; 60H15; 35B50; 35B51Stochastic partial differential equations; Maximum principle; Stampacchia comparison techniques; Truncation techniques; Nonlinear multiplicative noise
Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains
Keywords: 35R60; 35B27Homogenization; Random perforated domains
Stochastic amplitude equation for the stochastic generalized Swift–Hohenberg equation
Keywords: Multi-scale analysis; SPDEs; Swift–Hohenberg equation; Amplitude equationPrimary 60H15; Secondary 60H10; 35R60; 35Q99; 35K35
Uniqueness of the minimizer for a random non-local functional with double-well potential in d⩽2d⩽2
Keywords: 35R60; 80M35; 82D30; 74Q05Random functionals; Phase segregation in disordered materials; Fractional Laplacian
L-Kuramoto-Sivashinsky SPDEs in one-to-three dimensions: L-KS kernel, sharp Hölder regularity, and Swift-Hohenberg law equivalence
Keywords: 35R60; 60H15; 35R11; 35G99; 60H20; 60H30; 42A38; 45H05; 45R05; 60J45; 60J35; 60J60; 60J65; L-Kuramoto-Sivashinsky (S)PDEs; Swift-Hohenberg (S)PDE; Linear and nonlinear fourth order (S)PDEs; L-KS kernel; Imaginary-Brownian-time-Brownian-angle process
Pathwise Taylor expansions for random fields on multiple dimensional paths
Keywords: 60H07, 15, 30; 35R60; 34F05Path derivatives; Pathwise Taylor expansion; Functional Itô formula; Itô–Wentzell formula; Stochastic partial differential equations