diff --git a/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/web/servlet/support/SpringBootServletInitializer.java b/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/web/servlet/support/SpringBootServletInitializer.java
index 9ffab2263a..e21e486cab 100644
--- a/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/web/servlet/support/SpringBootServletInitializer.java
+++ b/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/web/servlet/support/SpringBootServletInitializer.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2012-2023 the original author or authors.
+ * Copyright 2012-2024 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -28,6 +28,7 @@ import jakarta.servlet.ServletContextEvent;
 import jakarta.servlet.ServletException;
 import org.apache.commons.logging.Log;
 import org.apache.commons.logging.LogFactory;
+import reactor.core.scheduler.Schedulers;
 
 import org.springframework.boot.SpringApplication;
 import org.springframework.boot.builder.ParentContextApplicationContextInitializer;
@@ -44,6 +45,7 @@ import org.springframework.core.annotation.MergedAnnotations;
 import org.springframework.core.annotation.MergedAnnotations.SearchStrategy;
 import org.springframework.core.env.ConfigurableEnvironment;
 import org.springframework.util.Assert;
+import org.springframework.util.ClassUtils;
 import org.springframework.web.WebApplicationInitializer;
 import org.springframework.web.context.ConfigurableWebEnvironment;
 import org.springframework.web.context.ContextLoaderListener;
@@ -69,11 +71,15 @@ import org.springframework.web.context.WebApplicationContext;
  * @author Dave Syer
  * @author Phillip Webb
  * @author Andy Wilkinson
+ * @author Brian Clozel
  * @since 2.0.0
  * @see #configure(SpringApplicationBuilder)
  */
 public abstract class SpringBootServletInitializer implements WebApplicationInitializer {
 
+	private static final boolean REACTOR_PRESENT = ClassUtils.isPresent("reactor.core.scheduler.Schedulers",
+			SpringBootServletInitializer.class.getClassLoader());
+
 	protected Log logger; // Don't initialize early
 
 	private boolean registerErrorPageFilter = true;
@@ -125,6 +131,20 @@ public abstract class SpringBootServletInitializer implements WebApplicationInit
 		}
 	}
 
+	/**
+	 * Shuts down the reactor {@link Schedulers} that were initialized by
+	 * {@code Schedulers.boundedElastic()} (or similar). The default implementation
+	 * {@link Schedulers#shutdownNow()} schedulers if they were initialized on this web
+	 * application's class loader.
+	 * @param servletContext the web application's servlet context
+	 * @since 3.4.0
+	 */
+	protected void shutDownSharedReactorSchedulers(ServletContext servletContext) {
+		if (Schedulers.class.getClassLoader() == servletContext.getClassLoader()) {
+			Schedulers.shutdownNow();
+		}
+	}
+
 	protected WebApplicationContext createRootApplicationContext(ServletContext servletContext) {
 		SpringApplicationBuilder builder = createSpringApplicationBuilder();
 		builder.main(getClass());
@@ -248,6 +268,10 @@ public abstract class SpringBootServletInitializer implements WebApplicationInit
 			finally {
 				// Use original context so that the classloader can be accessed
 				deregisterJdbcDrivers(this.servletContext);
+				// Shut down shared reactor schedulers tied to this classloader
+				if (REACTOR_PRESENT) {
+					shutDownSharedReactorSchedulers(this.servletContext);
+				}
 			}
 		}
 
diff --git a/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/support/SpringBootServletInitializerTests.java b/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/support/SpringBootServletInitializerTests.java
index 60dc447cfe..bb8e7deb81 100644
--- a/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/support/SpringBootServletInitializerTests.java
+++ b/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/support/SpringBootServletInitializerTests.java
@@ -228,6 +228,32 @@ class SpringBootServletInitializerTests {
 		assertThat(driversDeregistered).isTrue();
 	}
 
+	@Test
+	void whenServletContextIsDestroyedThenReactorSchedulersAreShutDown() throws ServletException {
+		ServletContext servletContext = mock(ServletContext.class);
+		given(servletContext.addFilter(any(), any(Filter.class))).willReturn(mock(Dynamic.class));
+		given(servletContext.getInitParameterNames()).willReturn(new Vector<String>().elements());
+		given(servletContext.getAttributeNames()).willReturn(new Vector<String>().elements());
+		AtomicBoolean schedulersShutDown = new AtomicBoolean();
+		new SpringBootServletInitializer() {
+
+			@Override
+			protected SpringApplicationBuilder configure(SpringApplicationBuilder builder) {
+				return builder.sources(Config.class);
+			}
+
+			@Override
+			protected void shutDownSharedReactorSchedulers(ServletContext servletContext) {
+				schedulersShutDown.set(true);
+			}
+
+		}.onStartup(servletContext);
+		ArgumentCaptor<ServletContextListener> captor = ArgumentCaptor.forClass(ServletContextListener.class);
+		then(servletContext).should().addListener(captor.capture());
+		captor.getValue().contextDestroyed(new ServletContextEvent(servletContext));
+		assertThat(schedulersShutDown).isTrue();
+	}
+
 	static class PropertySourceVerifyingSpringBootServletInitializer extends SpringBootServletInitializer {
 
 		@Override